<div id="pf1" class="pf w0 h0" data-page-no="1"><div class="pc pc1 w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="https://files.passeidireto.com/75f39020-13a1-4faa-baa1-81480f05f8c9/bg1.png"><div class="t m0 x1 h2 y1 ff1 fs0 fc0 sc0 ls3f ws0">dw /dz<span class="_0 blank"> </span>w</div><div class="t m0 x2 h3 y2 ff1 fs0 fc0 sc0 ls0">w<span class="ff2 ls1">=</span><span class="ls3f ws1">z<span class="_1 blank"> </span>w <span class="ff2 ws2">= 2</span><span class="ls2">x<span class="ff2 ls3">+</span></span><span class="ws3">xy <span class="ff3 fs1 ls4 v1">2</span></span>\u0131<span class="_2 blank"> </span>w <span class="ff2 ws2">= e<span class="ff4 fs1 ls5 v1">x</span><span class="ff5 ls6">{</span><span class="ws4">cos(</span></span><span class="ls7">y<span class="ff2 ls8">)<span class="ff5 ls9">\u2212</span></span><span class="lsa">\u0131</span></span><span class="ff2 ws4">sen(</span><span class="lsb">y<span class="ff2 lsc">)</span></span><span class="ff5">}</span></span></div><div class="t m0 x3 h4 y3 ff1 fs0 fc0 sc0 lsd">f<span class="ff6 fs1 lse v1">0</span><span class="ff2 lsc">(</span><span class="lsf">z<span class="ff2 ls10">)</span></span>f<span class="ff6 fs1 ls3f ws5 v1">00 </span><span class="ff2 ls3f ws4">(</span><span class="ls11">z<span class="ff2 ls3f">)</span></span></div><div class="t m0 x4 h5 y4 ff1 fs0 fc0 sc0 ls12">f<span class="ff6 fs1 lse v1">0</span><span class="ff2 ls3f ws4">(</span><span class="ls11">z<span class="ff2 ls13">)</span><span class="lsd">f<span class="ff6 fs1 ls3f ws5 v1">00 </span><span class="ff2 ls3f ws4">(</span></span>z<span class="ff2 ls3f">)</span></span></div><div class="t m0 x5 h4 y5 ff1 fs0 fc0 sc0 ls12">f<span class="ff6 fs1 lse v1">0</span><span class="ff2 ls3f ws4">(</span><span class="ls11">z<span class="ff2 ls3f ws2">) =<span class="_3 blank"> </span>lim</span></span></div><div class="t m0 x6 h6 y6 ff3 fs1 fc0 sc0 ls14">\u2206<span class="ff4 ls15">z<span class="ff6 ls3f ws6">\u2192<span class="ff3">0</span></span></span></div><div class="t m0 x7 h2 y7 ff2 fs0 fc0 sc0 ls3f ws4">\u2206<span class="ff1">f</span></div><div class="t m0 x7 h7 y8 ff2 fs0 fc0 sc0 ls3f ws4">\u2206<span class="ff1 ls16">z</span><span class="ls17 v2">=</span><span class="ff1 ws7 v3">\u2202 u</span></div><div class="t m0 x8 h7 y8 ff1 fs0 fc0 sc0 ls3f ws7">\u2202 x<span class="_4 blank"> </span><span class="ff2 ls3 v2">+</span><span class="ls18 v2">\u0131</span><span class="v3">\u2202 v</span></div><div class="t m0 x9 h8 y8 ff1 fs0 fc0 sc0 ls3f ws7">\u2202 x<span class="_5 blank"> </span><span class="ff2 v2">:</span></div><div class="t m0 xa h9 y9 ff2 fs0 fc0 sc0 ls3f ws8">a) <span class="ff1 ls12">f</span><span class="ws4">(<span class="ff1 ls11">z</span><span class="ws9">) = <span class="ff1 wsa">\u0131z </span><span class="wsb">+ 2<span class="_6 blank"> </span>b)<span class="_7 blank"> </span><span class="ff1 lsd">f</span><span class="lsc">(<span class="ff1 lsf">z</span><span class="ls19 wsc">)=e<span class="_8 blank"></span><span class="ff6 fs1 ls3f ws6 v1">\u2212<span class="ff4 ls5">x<span class="ff5 fs0 ls6 v4">{<span class="ff2 ls3f ws4">cos(<span class="ff1 ls7">y</span><span class="ls8">)<span class="ff5 ls9">\u2212<span class="ff1 lsa">\u0131</span></span></span>sen(<span class="ff1 ls7">y</span>)<span class="ff5">}</span></span></span></span></span></span></span></span></span></span></div><div class="t m0 xa ha ya ff2 fs0 fc0 sc0 ls3f wsd">c) <span class="ff1 lsd">f</span><span class="lsc">(<span class="ff1 lsf">z</span></span><span class="wse">) = <span class="ff1 lsf">z<span class="ff3 fs1 ls1a v1">3</span></span><span class="wsf">d) <span class="ff1 lsd">f</span><span class="lsc">(<span class="ff1 lsf">z</span></span><span class="ws2">) = cos(<span class="ff1 ls1b">x</span><span class="ws10">) cosh(<span class="ff1 lsb">y</span><span class="ls8">)<span class="ff5 ls1c">\u2212<span class="ff1 lsa">\u0131</span></span></span><span class="ws4">sen(<span class="ff1 ls1b">x</span></span>) senh(<span class="ff1 lsb">y</span>)</span></span></span></span></div><div class="t m0 xb ha yb ff1 fs0 fc0 sc0 ls1d">w<span class="ff2 ls1e">=</span><span class="ls11">z<span class="ff3 fs1 ls1f v1">3</span><span class="ff2 ls3f ws2">= (</span><span class="ls2">x<span class="ff2 ls20">+</span><span class="ls3f ws11">\u0131y <span class="ff2 ws4">)<span class="ff3 fs1 v1">3</span></span></span></span></span></div><div class="t m0 xc ha yc ff2 fs0 fc0 sc0 ls1e">=<span class="ff1 ls1b">x<span class="ff3 fs1 ls21 v1">3</span></span><span class="ls3f wsb">+ 3<span class="ff1 ls1b">x<span class="ff3 fs1 ls22 v1">2</span></span><span class="ws4">(<span class="ff1 ws12">\u0131y </span></span></span><span class="ls23 ws13">)+3<span class="_9 blank"></span><span class="ff1 ls1b">x<span class="ff2 ls3f ws4">(<span class="ff1 ws12">\u0131y </span>)<span class="ff3 fs1 ls21 v1">2</span><span class="wsb">+ (<span class="ff1 ws11">\u0131y </span><span class="lsc">)</span><span class="ff3 fs1 v1">3</span></span></span></span></span></div><div class="t m0 xc hb yd ff2 fs0 fc0 sc0 ls1e">=<span class="ff1 ls1b">x<span class="ff3 fs1 ls21 v1">3</span><span class="ff5 ls9">\u2212</span></span><span class="ls3f ws4">3<span class="ff1 ws3">xy <span class="ff3 fs1 ls21 v1">2</span></span><span class="ls3">+</span><span class="ff1 ws14">\u0131</span>(3<span class="ff1 ls1b">x<span class="ff3 fs1 ls22 v1">2</span><span class="ls24">y<span class="ff5 ls9">\u2212</span><span class="ls7">y<span class="ff3 fs1 ls4 v1">3</span></span></span></span><span class="wse">) = <span class="ff1 ls25">u</span><span class="ls3">+</span><span class="ff1">\u0131v</span></span></span></div><div class="t m0 xd hb ye ff1 fs0 fc0 sc0 ls26">u<span class="ff2 ls27">=</span><span class="ls1b">x<span class="ff3 fs1 ls28 v1">3</span><span class="ff5 ls29">\u2212<span class="ff2 ls3f ws4">3</span></span><span class="ls3f ws3">xy <span class="ff3 fs1 ls2a v1">2</span><span class="ls2b">v</span><span class="ff2 ws15">= 3</span></span>x<span class="ff3 fs1 ls4 v1">2</span><span class="ls2c">y<span class="ff5 ls29">\u2212</span><span class="ls7">y<span class="ff3 fs1 ls2d v1">3</span><span class="ls3f ws16">u, v<span class="_a blank"> </span>, u<span class="ff4 fs1 ls5 v5">x</span>, u<span class="ff4 fs1 ls2e v5">y</span>, v<span class="ff4 fs1 ls5 v5">x</span>, v<span class="ff4 fs1 v5">y</span></span></span></span></span></div><div class="t m0 xe hb yf ff7 fs0 fc0 sc0 ls3f ws17">R<span class="ff3 fs1 v1">2</span></div><div class="t m0 xf ha y10 ff1 fs0 fc0 sc0 ls3f ws14">u<span class="ff4 fs1 ls2f v5">x</span><span class="ff2 ws2">= 3</span><span class="ls1b">x<span class="ff3 fs1 ls21 v1">2</span><span class="ff5 ls9">\u2212</span></span><span class="ff2 ws4">3</span><span class="lsb">y<span class="ff3 fs1 ls30 v1">2</span><span class="ff2 ls1">=</span></span>v<span class="ff4 fs1 ls31 v5">y</span>u<span class="ff4 fs1 ls32 v5">y</span><span class="ff2 ls1">=<span class="ff5 ls33">\u2212</span><span class="ls3f ws4">6</span></span><span class="ws18">xy <span class="ff2 ls1e">=</span><span class="ff5 ws19">\u2212</span><span class="ls34">v</span><span class="ff4 fs1 v5">x</span></span></div><div class="t m0 x10 ha y11 ff1 fs0 fc0 sc0 ls1d">w<span class="ff2 ls1">=</span><span class="ls11">z<span class="ff3 fs1 ls3f v1">3</span></span></div><div class="t m0 x11 h2 y12 ff1 fs0 fc0 sc0 ls3f">dw</div><div class="t m0 x12 hc y13 ff1 fs0 fc0 sc0 ls3f ws1a">dz <span class="ff2 ls1 v2">=</span><span class="ls35 v2">u</span><span class="ff4 fs1 ls36 v6">x</span><span class="ff2 ls20 v2">+</span><span class="ws14 v2">\u0131v</span><span class="ff4 fs1 ls2f v6">x</span><span class="ff2 ws2 v2">= 3</span><span class="ls1b v2">x</span><span class="ff3 fs1 ls21 v7">2</span><span class="ff5 ls9 v2">\u2212</span><span class="ff2 ws4 v2">3</span><span class="ls7 v2">y</span><span class="ff3 fs1 ls21 v7">2</span><span class="ff2 wsb v2">+ 6</span><span class="ws1b v2">xy \u0131<span class="_7 blank"> </span><span class="ff2 ws2">= 3(<span class="ff1 ls1b">x<span class="ff3 fs1 ls21 v1">2</span><span class="ff5 ls9">\u2212</span><span class="lsb">y<span class="ff3 fs1 ls22 v1">2</span></span></span><span class="ls23 ws13">)+6<span class="_9 blank"></span><span class="ff1 ls3f ws1b">xy \u0131<span class="_7 blank"> </span><span class="ff2 ws2">= 3</span><span class="ls11">z</span><span class="ff3 fs1 v1">2</span></span></span></span></span></div><div class="t m0 x3 h2 y14 ff1 fs0 fc0 sc0 ls3f ws0">dw /dz<span class="_b blank"> </span>u<span class="ff4 fs1 ls37 v5">x</span><span class="ws14">v<span class="ff4 fs1 v5">x</span></span></div><div class="t m0 x13 h2 y15 ff2 fs0 fc0 sc0 ls3f ws4">(<span class="ff1 ls35">u<span class="ff4 fs1 ls5 v5">x</span></span>)<span class="ff4 fs1 ls38 v5">x</span>=</div><div class="t m0 x1 ha y16 ff1 fs0 fc0 sc0 ls35">u<span class="ff4 fs1 ls3f ws1c v5">xx </span><span class="ls39">,<span class="ff2 ls3f ws4">(</span></span>u<span class="ff4 fs1 ls5 v5">x</span><span class="ff2 ls3f ws4">)<span class="ff4 fs1 ls3a v5">y</span><span class="ls3b">=</span></span>u<span class="ff4 fs1 ls3f ws1d v5">xy </span><span class="ls3c">,<span class="ff2 ls3f ws4">(</span><span class="ls3f ws14">v<span class="ff4 fs1 ls5 v5">x</span><span class="ff2 lsc">)<span class="ff4 fs1 ls3d v5">x</span><span class="ls3e">=</span></span>v<span class="ff4 fs1 ws1c v5">xx </span><span class="ls39">,<span class="ff2 lsc">(</span></span>v<span class="ff4 fs1 ls5 v5">x</span><span class="ff2 ws4">)<span class="ff4 fs1 ls3a v5">y</span><span class="ls3b">=</span></span><span class="ls34">v</span><span class="ff4 fs1 ws1e v5">xy </span><span class="ff7 ws17">R<span class="ff3 fs1 v1">2</span></span></span></span></div></div><div class="pi" data-data='{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}'></div></div> <div id="pf2" class="pf w0 h0" data-page-no="2"><div class="pc pc2 w0 h0"><img class="bi x14 y0 w2 h1" alt="" src="https://files.passeidireto.com/75f39020-13a1-4faa-baa1-81480f05f8c9/bg2.png"><div class="t m0 x15 h2 y17 ff2 fs0 fc0 sc0 lsc">(<span class="ff1 ls3f ws14">u<span class="ff4 fs1 ls5 v5">x</span></span>)<span class="ff4 fs1 ls40 v5">x</span><span class="ls1e">=<span class="ff1 ls3f ws14">u<span class="ff4 fs1 ws20 v5">xx </span></span><span class="ls3f ws2">= 6<span class="ff1 ls41">x</span>= (<span class="ff1 ls34">v<span class="ff4 fs1 ls5 v5">x</span></span><span class="ws4">)<span class="ff4 fs1 ls42 v5">y</span></span></span></span>(<span class="ff1 ls3f ws14">u<span class="ff4 fs1 ls5 v5">x</span></span><span class="ls3f ws4">)<span class="ff4 fs1 ls32 v5">y</span><span class="ls1">=<span class="ff5 ls33">\u2212</span></span>6<span class="ff1 ls43">y</span><span class="ls1e">=</span><span class="ff5 ws19">\u2212<span class="ff1 ls34">v</span><span class="ff4 fs1 ws21 v5">xy </span></span><span class="ls1e">=</span><span class="ff5 ws19">\u2212</span></span>(<span class="ff1 ls3f ws14">v<span class="ff4 fs1 ls5 v5">x</span></span><span class="ls3f ws4">)<span class="ff4 fs1 v5">y</span></span></div><div class="t m0 x16 h2 y18 ff1 fs0 fc0 sc0 ls3f ws0">dw /dz</div><div class="t m0 x17 hd y19 ff1 fs0 fc0 sc0 ls44">d<span class="ff3 fs1 ls4 v8">2</span><span class="ls3f">w</span></div><div class="t m0 x18 h7 y1a ff1 fs0 fc0 sc0 ls3f ws22">dz <span class="ff3 fs1 ls45 v9">2</span><span class="ff2 ls46 v2">=</span><span class="v3">d</span></div><div class="t m0 x5 h7 y1a ff1 fs0 fc0 sc0 ls3f ws23">dz <span class="ff2 ls47 v2">(</span><span class="v3">dw</span></div><div class="t m0 x19 h7 y1a ff1 fs0 fc0 sc0 ls3f ws24">dz <span class="ff2 ws2 v2">) =<span class="_c blank"> </span></span><span class="v3">d</span></div><div class="t m0 x1a h8 y1a ff1 fs0 fc0 sc0 ls3f ws23">dz <span class="ff2 ws4 v2">(</span><span class="ws14 v2">u</span><span class="ff4 fs1 ls48 v6">x</span><span class="ff2 ls3 v2">+</span><span class="ws14 v2">\u0131v</span><span class="ff4 fs1 ls5 v6">x</span><span class="ff2 v2">)</span></div><div class="t m0 x1b h2 y1b ff2 fs0 fc0 sc0 ls3f ws2">= (<span class="ff1 ws14">u<span class="ff4 fs1 ls5 v5">x</span></span><span class="lsc">)<span class="ff4 fs1 ls48 v5">x</span><span class="ls3">+</span></span><span class="ff1 ws14">\u0131</span><span class="ws4">(<span class="ff1 ws14">v<span class="ff4 fs1 ls5 v5">x</span></span><span class="lsc">)</span><span class="ff4 fs1 v5">x</span></span></div><div class="t m0 x1b h2 y1c ff2 fs0 fc0 sc0 ls1e">=<span class="ff1 ls3f ws14">u<span class="ff4 fs1 ws25 v5">xx </span></span><span class="ls3">+<span class="ff1 ls3f ws14">\u0131v<span class="ff4 fs1 ws20 v5">xx </span></span><span class="ls3f ws2">= 6<span class="ff1 ls2">x</span><span class="wsb">+ 6<span class="ff1 ws1b">y \u0131<span class="_7 blank"> </span></span></span>= 6(<span class="ff1 ls49">x</span><span class="ls20">+</span><span class="ff1 ws11">\u0131y </span></span><span class="ls19 wsc">)=6<span class="_8 blank"></span><span class="ff1 ls3f">z</span></span></span></div><div class="t m0 x1c h5 y1d ff1 fs0 fc0 sc0 ls3f ws26">z<span class="_d blank"> </span>f <span class="ff6 fs1 ls4a v1">0</span><span class="ff2 ws4">(</span><span class="lsf">z</span><span class="ff2">)</span></div><div class="t m0 x2 hb y1e ff1 fs0 fc0 sc0 ls12">f<span class="ff2 ls3f ws4">(</span><span class="ls11">z<span class="ff2 ls3f ws27">) = 1</span><span class="ls3f ws28">/z<span class="_1 blank"> </span>f <span class="ff2 ws4">(</span></span>z<span class="ff2 ls3f ws9">) = </span><span class="ls1b">x<span class="ff3 fs1 ls21 v1">2</span><span class="ff2 ls20">+</span><span class="ls3f ws11">\u0131y <span class="ff3 fs1 ls4b v1">2</span><span class="lsd">f<span class="ff2 lsc">(</span><span class="lsf">z</span></span><span class="ff2 wse">) = </span><span class="ls4c">z</span><span class="ff2 ws4">Im(</span></span></span>z<span class="ff2 ls3f">)</span></span></div><div class="t m0 x1c h2 y1f ff1 fs0 fc0 sc0 ls4d">z<span class="ff2 ls1">=</span><span class="ls2">x<span class="ff2 ls20">+</span><span class="ls3f ws29">\u0131y<span class="_e blank"> </span>w <span class="ff2 ls1e">=</span><span class="ls25">u<span class="ff2 ls3">+</span></span>\u0131v</span></span></div><div class="t m0 x1 ha y20 ff1 fs0 fc0 sc0 ls1d">w<span class="ff2 ls1e">=</span><span class="lsd">f<span class="ff2 lsc">(</span><span class="lsf">z<span class="ff2 ls3f wse">) = </span><span class="ls4c">z<span class="ff2 ls3f ws4">Im(</span><span class="ls11">z<span class="ff2 ls3f ws27">) = (</span><span class="ls1b">x<span class="ff2 ls3f ws4">+</span><span class="ls3f ws11">\u0131y <span class="ff2 ws4">)(</span><span class="ls7">y</span><span class="ff2 ws9">) = </span><span class="ws3">xy <span class="ff2 ws4">+</span></span>\u0131y <span class="ff3 fs1 ls1f v1">2</span><span class="ff2 ls1e">=</span><span class="ws14">u<span class="ff2 ws4">+</span><span class="ws2a">\u0131v <span class="ff2 ws4">=<span class="_f blank"></span><span class="ff5 ls4e">\u21d2<span class="ff1 ls4f">u<span class="ff2 ls1">=</span><span class="ls3f ws2b">xy<span class="_10 blank"> </span>v <span class="ff2 ls1e">=</span><span class="lsb">y</span><span class="ff3 fs1 v1">2</span></span></span></span></span></span></span></span></span></span></span></span></span></div><div class="t m0 x1d h2 y21 ff1 fs0 fc0 sc0 ls35">u<span class="ff4 fs1 ls40 v5">x</span><span class="ff2 ls1e">=</span><span class="ls3f ws14">v<span class="ff4 fs1 ls50 v5">y</span><span class="ff2 ws4">=<span class="_f blank"></span><span class="ff5 ls4e">\u21d2<span class="ff1 ls43">y<span class="ff2 ls3f ws2">= 2</span><span class="ls51">y<span class="ff2 ls3f">=<span class="_f blank"></span><span class="ff5 ls4e">\u21d2<span class="ff1 ls43">y<span class="ff2 ls3f ws2">= 0</span></span></span></span></span></span></span></span></span></div><div class="t m0 x1d h2 y22 ff1 fs0 fc0 sc0 ls35">u<span class="ff4 fs1 ls52 v5">y</span><span class="ff2 ls1e">=<span class="ff5 ls3f ws19">\u2212</span></span><span class="ls3f ws14">v<span class="ff4 fs1 ls53 v5">x</span><span class="ff2 ws4">=<span class="_f blank"></span><span class="ff5 ls4e">\u21d2<span class="ff1 ls54">x<span class="ff2 ls1e">=</span></span><span class="ls3f ws19">\u2212<span class="ff2 ws2c">0 =<span class="_f blank"></span><span class="ff5 ls4e">\u21d2<span class="ff1 ls54">x<span class="ff2 ls3f ws2">= 0</span></span></span></span></span></span></span></span></div><div class="t m0 x1e h2 y23 ff1 fs0 fc0 sc0 ls55">x<span class="ff2 ls3f ws2d">= 0</span></div><div class="t m0 x1 h2 y24 ff1 fs0 fc0 sc0 ls56">y<span class="ff2 ls3f ws2e">= 0<span class="_11 blank"> </span></span><span class="ls57">z<span class="ff2 ls3f ws2e">= 0<span class="_12 blank"> </span></span><span class="ls3f ws16">u, v</span></span></div><div class="t m0 x1f h2 y25 ff1 fs0 fc0 sc0 ls3f ws2f">xy f</div><div class="t m0 x20 h5 y26 ff1 fs0 fc0 sc0 ls4d">z<span class="ff2 ls3f ws2">= 0<span class="_13 blank"> </span></span><span class="lsd">f<span class="ff6 fs1 lse v1">0</span><span class="ff2 ls3f ws30">(0) = </span><span class="ls35">u<span class="ff4 fs1 ls5 v5">x</span><span class="ff2 ls3f ws4">(0</span><span class="ls39">,<span class="ff2 ls3f ws31">0) + </span><span class="ls3f ws14">\u0131v<span class="ff4 fs1 ls5 v5">x</span><span class="ff2 ws4">(0</span><span class="ls3c">,</span><span class="ff2 ws27">0) = 0</span></span></span></span></span></div><div class="t m0 x21 h2 y27 ff1 fs0 fc0 sc0 ls3f">f</div><div class="t m0 xf h2 y28 ff1 fs0 fc0 sc0 ls4d">z<span class="ff2 ls3f ws2">= 0<span class="_14 blank"> </span></span><span class="ls58">z<span class="ff2 ls3f ws2">= 0</span></span></div><div class="t m0 x11 h3 y29 ff1 fs0 fc0 sc0 lsd">f<span class="ff2 lsc">(</span><span class="lsf">z<span class="ff2 ls3f wse">) = </span><span class="ls11">z<span class="ff3 fs1 ls3f ws32 v1">1<span class="ff4 ws33">/<span class="ff3">2</span></span></span></span></span></div><div class="t m0 xc he y2a ff1 fs0 fc0 sc0 ls12">f<span class="ff2 ls3f ws4">(</span><span class="ls11">z<span class="ff2 ls3f ws9">) = <span class="ff5 ls59 va">\u221a</span></span><span class="ls5a">r<span class="ff5 ls6">{<span class="ff2 ls3f ws4">cos(</span></span><span class="ls3f ws0">\u03b8 /<span class="ff2 wsb">2) + </span><span class="lsa">\u0131</span><span class="ff2 ws4">sen(</span>\u03b8 /<span class="ff2 ws4">2)<span class="ff5">}</span></span></span></span></span></div><div class="t m0 x22 h2 y2b ff1 fs0 fc0 sc0 ls5b">z<span class="ff2 ls5c">=</span><span class="ls5d">r<span class="ff5 ls6">{<span class="ff2 ls3f ws4">cos(</span></span><span class="ls5e">\u03b8<span class="ff2 ls3f ws17">) + </span><span class="lsa">\u0131<span class="ff2 ls3f ws4">sen(</span><span class="ls5f">\u03b8<span class="ff2 lsc">)<span class="ff5 ls60">}</span></span><span class="ls3f ws34">r<span class="_15 blank"> </span>> <span class="ff2 ws35">0<span class="_16 blank"> </span>0 <span class="ff5 ls61">\u2264</span></span><span class="ws36">\u03b8<span class="_15 blank"> </span>< <span class="ff2 ws4">2</span>\u03c0</span></span></span></span></span></span></div><div class="t m0 x1 h5 y2c ff1 fs0 fc0 sc0 ls12">f<span class="ff6 fs1 lse v1">0</span><span class="ff2 ls3f ws4">(</span><span class="ls11">z<span class="ff2 ls3f">)</span></span></div><div class="t m0 x23 hf y2d ff1 fs0 fc0 sc0 lsd">f<span class="ff6 fs1 lse v1">0</span><span class="ff2 lsc">(</span><span class="lsf">z<span class="ff2 ls3f ws2">) =<span class="_17 blank"> </span><span class="v2">1</span></span></span></div><div class="t m0 x24 h2 y2e ff2 fs0 fc0 sc0 ls3f ws4">2<span class="ff1 ls12">f</span>(<span class="ff1 ls11">z</span>)</div></div><div class="pi" data-data='{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}'></div></div> <div id="pf3" class="pf w0 h0" data-page-no="3"><div class="pc pc3 w0 h0"><img fetchpriority="low" loading="lazy" class="bi x14 y0 w2 h10" alt="" src="https://files.passeidireto.com/75f39020-13a1-4faa-baa1-81480f05f8c9/bg3.png"><div class="t m0 x25 h2 y2f ff1 fs0 fc0 sc0 ls3f">f</div><div class="t m0 x26 h2 y30 ff1 fs0 fc0 sc0 ls62">x<span class="ff5 ls63">\u2265<span class="ff2 ls64">0</span></span><span class="ls65">z<span class="ff2 ls3f ws37">= 0</span></span></div><div class="t m0 x27 h2 y31 ff1 fs0 fc0 sc0 ls3f ws14">z<span class="ff4 fs1 ls66 v5">o</span><span class="ff2 ls67">=</span>r<span class="ff4 fs1 ls68 v5">o</span><span class="ff2 ws4">exp(</span>\u0131<span class="ff2 ws38">0) </span><span class="ls69">r<span class="ff4 fs1 ls66 v5">o</span><span class="ls6a">></span></span><span class="ff2">0</span></div><div class="t m0 x28 h11 y32 ff1 fs0 fc0 sc0 lsd">f<span class="ff2 ls3f ws4">(</span><span class="ls3f ws14">z<span class="ff4 fs1 ls6b v5">o</span><span class="ff2 wse">) = <span class="ff5 ls59 v2">\u221a</span></span>r<span class="ff4 fs1 ls68 v5">o</span><span class="ff2 ws4">exp(</span>\u0131<span class="ff2 ws39">0) = <span class="ff5 ws19 v2">\u221a</span></span><span class="ls69">r</span><span class="ff4 fs1 v5">o</span></span></div><div class="t m0 x29 h2 y33 ff1 fs0 fc0 sc0 ls6c">z<span class="ff2 ls6d">=</span><span class="ls3f ws14">r<span class="ff4 fs1 ls68 v5">o</span><span class="ff2 ws4">exp(</span><span class="ws3a">\u0131\u03b8 <span class="ff2 ls6e">)</span><span class="ls6f">\u03b8</span><span class="ff2 ws4">2</span><span class="ws3b">\u03c0 z</span></span></span></div><div class="t m0 x20 h2 y34 ff1 fs0 fc0 sc0 ls3f ws14">z<span class="ff4 fs1 ls70 v5">o</span><span class="ws3c">f z<span class="ff4 fs1 ls71 v5">o</span><span class="ls12">f</span><span class="ff2 ws4">(</span><span class="ls11">z</span><span class="ff2">)</span></span></div><div class="t m0 x1 h11 y35 ff1 fs0 fc0 sc0 ls12">f<span class="ff2 ls3f ws4">(</span><span class="ls3f ws14">z<span class="ff4 fs1 ls6b v5">o</span><span class="ff2 wse">) = <span class="ff5 ws19 v2">\u221a</span></span><span class="ls69">r<span class="ff4 fs1 ls72 v5">o</span></span><span class="ws3d">z z<span class="ff4 fs1 v5">o</span></span></span></div><div class="t m0 x1 h11 y36 ff1 fs0 fc0 sc0 ls12">f<span class="ff2 ls3f ws4">(</span><span class="ls11">z<span class="ff2 ls3f ws9">) = <span class="ff5 ls59 v2">\u221a</span></span><span class="ls3f ws14">r<span class="ff4 fs1 ls68 v5">o</span><span class="ff2 ws4">exp(</span>\u0131<span class="ff2 lsc">(</span><span class="ws0">\u03b8 /<span class="ff2 ws8">2) <span class="ff5 ls73">\u2192<span class="ls59 v2">\u221a</span></span></span></span>r<span class="ff4 fs1 ls68 v5">o</span><span class="ff2 ws4">exp(2</span><span class="ws1b">\u03c0 \u0131/<span class="ff2 ws39">2) = <span class="ff5 ls59 v2">\u221a</span></span></span>r<span class="ff4 fs1 ls68 v5">o</span><span class="ff2 ws4">exp(</span><span class="ws1b">\u03c0 \u0131<span class="ff2 wse">) = <span class="ff5 ls33">\u2212<span class="ls3f ws19 v2">\u221a</span></span></span><span class="ls69">r<span class="ff4 fs1 ls74 v5">o</span></span><span class="ff5 ws19">6<span class="ff2 ls1">=</span></span><span class="lsd">f<span class="ff2 lsc">(</span></span></span>z<span class="ff4 fs1 ls6b v5">o</span><span class="ff2">)</span></span></span></div><div class="t m0 x2a h2 y37 ff1 fs0 fc0 sc0 ls3f ws3e">z z<span class="ff4 fs1 ls75 v5">o</span><span class="ws3f">f z<span class="ff4 fs1 ls76 v5">o</span>f</span></div><div class="t m0 x2b h2 y38 ff1 fs0 fc0 sc0 ls77">x<span class="ff5 ls78">\u2265<span class="ff2 ls3f">0</span></span></div><div class="t m0 x2 h12 y39 ff1 fs0 fc0 sc0 lsd">f<span class="ff2 lsc">(</span><span class="lsf">z<span class="ff2 ls3f ws40">) = </span><span class="ls79">u<span class="ff2 ls7a">+</span><span class="ls3f ws41">\u0131v<span class="_18 blank"> </span>u <span class="ff2 ls7b">=<span class="ff5 ls59 va">\u221a</span></span><span class="ls5a">r</span><span class="ff2 ws4">cos(</span><span class="ws0">\u03b8 /<span class="ff2 ws42">2) </span><span class="ls7c">v<span class="ff2 ls7d">=</span></span><span class="ff5 ws19 va">\u221a</span><span class="ls5a">r</span><span class="ff2 ws4">sen(</span>\u03b8 /<span class="ff2">2)</span></span></span></span></span></div><div class="t m0 x2c h2 y3a ff1 fs0 fc0 sc0 ls3f ws43">u<span class="_19 blank"> </span>v<span class="_1a blank"> </span>r<span class="_1b blank"> </span>> <span class="ff2 ws44">0<span class="_19 blank"> </span>0 </span><span class="ws45">< \u03b8<span class="_1b blank"> </span>< <span class="ff2 ws4">2</span>\u03c0</span></div><div class="t m0 x2d h13 y3b ff1 fs0 fc0 sc0 ls35">u<span class="ff4 fs1 ls7e v5">r</span><span class="ff2 ls7f">=<span class="ls3f v2">1</span></span></div><div class="t m0 x2e h14 y3c ff1 fs0 fc0 sc0 ls80">r<span class="ls3f ws14 v2">v<span class="ff4 fs1 v5">\u03b8</span></span></div><div class="t m0 x2f h2 y3d ff1 fs0 fc0 sc0 ls3f ws14">u<span class="ff4 fs1 ls81 v5">\u03b8</span><span class="ff2 ls82">=</span><span class="ff5 ws19">\u2212</span><span class="ws0">r v<span class="ff4 fs1 v5">r</span></span></div><div class="t m0 x1 h2 y3e ff1 fs0 fc0 sc0 ls3f ws46">r<span class="_1c blank"> </span>> <span class="ff2 ws4">0</span><span class="ls39">,<span class="ff2 ls83">0</span></span><span class="ws47">< \u03b8<span class="_1c blank"> </span>< <span class="ff2 ws4">2</span><span class="ws16">\u03c0<span class="_1d blank"> </span>u, v</span></span></div><div class="t m0 x30 h2 y3f ff1 fs0 fc0 sc0 ls3f">f</div><div class="t m0 x31 h5 y40 ff1 fs0 fc0 sc0 lsd">f<span class="ff6 fs1 lse v1">0</span><span class="ff2 lsc">(</span><span class="lsf">z<span class="ff2 ls3f ws2">) = exp(<span class="ff5 ls33">\u2212</span></span><span class="ls3f ws48">\u0131\u03b8 <span class="ff2 ws4">)<span class="ff5 ls6">{</span></span><span class="ws14">u<span class="ff4 fs1 ls84 v5">r</span><span class="ff2 ls3">+</span>\u0131v<span class="ff4 fs1 ls85 v5">r</span><span class="ff5">}</span></span></span></span></div><div class="t m0 x29 h2 y41 ff1 fs0 fc0 sc0 ls3f ws49">f<span class="_1e blank"> </span>r<span class="_1f blank"> </span>> <span class="ff2 ws4">0</span><span class="ls39">,<span class="ff2 ls86">0</span></span><span class="ws4a">< \u03b8<span class="_1f blank"> </span><</span></div><div class="t m0 x1 h2 y42 ff2 fs0 fc0 sc0 ls3f ws4">2<span class="ff1 ws4b">\u03c0 f</span></div><div class="t m0 x32 h2 y43 ff1 fs0 fc0 sc0 ls3f ws4c">f<span class="_20 blank"> </span>x <span class="ff5 ls87">\u2265</span><span class="ff2">0</span></div><div class="t m0 x33 h2 y44 ff1 fs0 fc0 sc0 ls3f">f</div><div class="t m0 x12 hf y45 ff1 fs0 fc0 sc0 lsd">f<span class="ff2 lsc">(</span><span class="lsf">z<span class="ff2 ls3f ws4d">) = </span><span class="ls1b">x<span class="ff3 fs1 ls88 v1">3</span><span class="ff5 ls89">\u2212</span><span class="ls3f ws14">\u0131<span class="ff2 lsc">(</span><span class="ls8a">y<span class="ff5 ls8b">\u2212</span></span><span class="ff2 ws4">1)<span class="ff3 fs1 ls8c v1">3</span></span><span class="ws7 v2">\u2202 u</span></span></span></span></div><div class="t m0 x34 h7 y46 ff1 fs0 fc0 sc0 ls3f ws7">\u2202 x<span class="_15 blank"> </span><span class="ff2 ls8d v2">+</span><span class="ls8e v2">\u0131</span><span class="v3">\u2202 v</span></div><div class="t m0 x35 hc y46 ff1 fs0 fc0 sc0 ls3f ws7">\u2202 x<span class="_3 blank"> </span><span class="ff2 ws4d v2">= 3</span><span class="ls1b v2">x</span><span class="ff3 fs1 ls8f v7">2</span><span class="ff2 ws4 v2">3</span><span class="ls1b v2">x</span><span class="ff3 fs1 v7">2</span></div><div class="t m0 xf h5 y47 ff1 fs0 fc0 sc0 lsd">f<span class="ff6 fs1 lse v1">0</span><span class="ff2 lsc">(</span><span class="lsf">z<span class="ff2 ls90">)</span><span class="ls58">z<span class="ff2 ls1">=</span><span class="ls3f">\u0131</span></span></span></div><div class="t m0 x1 h2 y48 ff2 fs0 fc0 sc0 ls3f ws8">a) <span class="ff1 ls12">f</span><span class="ws4">(<span class="ff1 ls11">z</span><span class="ws27">) = 3<span class="ff1 ls2">x</span><span class="ls3">+<span class="ff1 ls91">y</span>+</span><span class="ff1 ws14">\u0131</span></span>(3<span class="ff1 ls91">y<span class="ff5 ls9">\u2212</span><span class="ls1b">x</span></span><span class="ws4e">)<span class="_21 blank"> </span>b) <span class="ff1 lsd">f</span><span class="lsc">(<span class="ff1 lsf">z</span></span><span class="ws2">) =<span class="_15 blank"> </span>sen(<span class="ff1 ls1b">x</span><span class="ws10">) cosh(<span class="ff1 lsb">y</span><span class="wsb">) + <span class="ff1 lsa">\u0131</span></span></span></span></span>cos(<span class="ff1 ls92">x</span><span class="ws10">) senh(<span class="ff1 ls7">y</span>)</span></span></div><div class="t m0 x1 h3 y49 ff2 fs0 fc0 sc0 ls3f wsd">c) <span class="ff1 lsd">f</span><span class="lsc">(<span class="ff1 lsf">z</span></span><span class="ws2">) =<span class="_15 blank"> </span>e<span class="ff6 fs1 ls93 v1">\u2212<span class="ff4 ls94">y</span></span><span class="ff5 ls6">{</span><span class="ws4">cos(<span class="ff1 ls1b">x</span><span class="wsb">) + <span class="ff1 lsa">\u0131</span></span>sen(<span class="ff1 ls1b">x</span>)<span class="ff5 ls95">}</span><span class="wsf">d) <span class="ff1 lsd">f</span><span class="lsc">(<span class="ff1 lsf">z</span><span class="ls19 wsc">)=(<span class="_8 blank"></span><span class="ff1 ls11">z<span class="ff3 fs1 ls21 v1">2</span><span class="ff5 ls9">\u2212<span class="ff2 ls3f ws10">2) e<span class="ff6 fs1 ls93 v1">\u2212<span class="ff4 ls5">x</span></span></span><span class="ls6">{<span class="ff2 ls3f ws4">cos(</span></span></span><span class="ls7">y<span class="ff2 ls8">)<span class="ff5 ls9">\u2212</span></span><span class="lsa">\u0131<span class="ff2 ls3f ws4">sen(</span></span>y<span class="ff2 ls3f ws4">)<span class="ff5">}</span></span></span></span></span></span></span></span></span></div></div><div class="pi" data-data='{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}'></div></div> <div id="pf4" class="pf w0 h0" data-page-no="4"><div class="pc pc4 w0 h0"><img fetchpriority="low" loading="lazy" class="bi x14 y0 w2 h10" alt="" src="https://files.passeidireto.com/75f39020-13a1-4faa-baa1-81480f05f8c9/bg4.png"><div class="t m0 x21 h3 y4a ff2 fs0 fc0 sc0 ls96">e<span class="ff6 fs1 ls3f ws6 v1">\u2212<span class="ff4 ls5">x</span></span><span class="ff5 ls6">{</span><span class="ls3f ws4">cos(<span class="ff1 ls7">y</span><span class="ls8">)<span class="ff5 ls9">\u2212<span class="ff1 lsa">\u0131</span></span></span>sen(<span class="ff1 ls7">y</span>)<span class="ff5 ls97">}</span><span class="ws4f">= e<span class="ff6 fs1 ls93 v1">\u2212<span class="ff4 ls5">x</span></span><span class="ff5 ws19">{</span></span>cos(<span class="ff5 ls33">\u2212<span class="ff1 ls7">y</span></span><span class="wsb">) + <span class="ff1 lsa">\u0131</span></span>sen(<span class="ff5 ls33">\u2212<span class="ff1 lsb">y</span></span>)<span class="ff5">}</span></span></div><div class="t m0 x36 h3 y4b ff2 fs0 fc0 sc0 ls3f ws4f">= e<span class="ff6 fs1 ls93 v1">\u2212<span class="ff4 ls98">x</span></span><span class="ws4">exp(<span class="ff1 ws14">\u0131</span><span class="lsc">(</span><span class="ff5 ws19">\u2212<span class="ff1 ls7">y</span></span>))</span></div><div class="t m0 x36 h2 y4c ff2 fs0 fc0 sc0 ls3f ws2">= exp(<span class="ff5 ls33">\u2212<span class="ff1 ls2">x</span><span class="ls9">\u2212</span></span><span class="ff1 ws11">\u0131y </span>) = exp(<span class="ff5 ls33">\u2212<span class="ff1 ls11">z</span></span>)</div><div class="t m0 x4 hb y4d ff1 fs0 fc0 sc0 lsd">f<span class="ff2 lsc">(</span><span class="lsf">z<span class="ff2 ls19 wsc">)=(<span class="_8 blank"></span><span class="ff1 ls11">z<span class="ff3 fs1 ls21 v1">2</span><span class="ff5 ls9">\u2212<span class="ff2 ls3f ws10">2) exp(</span><span class="ls33">\u2212</span></span><span class="lsf">z<span class="ff2 ls3f">)</span></span></span></span></span></div><div class="t m0 x37 h2 y4e ff1 fs0 fc0 sc0 ls12">f<span class="ff2 ls3f ws4">(</span><span class="ls11">z<span class="ff2 ls3f ws50">) =<span class="_22 blank"> </span>sen(</span>z<span class="ff2 ls99">)</span><span class="ls3f">f</span></span></div><div class="t m0 x38 h2 y4f ff1 fs0 fc0 sc0 ls9a">u<span class="ff2 ls3f ws51">= sen(</span><span class="ls1b">x<span class="ff2 ls3f ws10">) cosh(</span><span class="ls7">y<span class="ff2 ls3f">)</span></span></span></div><div class="t m0 x1 h2 y50 ff1 fs0 fc0 sc0 ls9b">v<span class="ff2 ls3f ws52">= cos(</span><span class="ls1b">x<span class="ff2 ls3f ws10">) senh(</span><span class="ls7">y<span class="ff2 ls9c">)</span><span class="ls3f ws16">u, v</span></span></span></div><div class="t m0 x39 h2 y51 ff1 fs0 fc0 sc0 ls3f">xy</div><div class="t m0 x29 h2 y52 ff1 fs0 fc0 sc0 ls4d">z<span class="ff2 ls1e">=</span><span class="ls5d">r<span class="ff5 ls6">{<span class="ff2 ls3f ws4">cos(</span></span><span class="ls5f">\u03b8<span class="ff2 ls3f wsb">) + </span><span class="lsa">\u0131<span class="ff2 ls3f ws4">sen(</span></span>\u03b8<span class="ff2 lsc">)<span class="ff5 ls3f">}</span></span></span></span></div><div class="t m0 x3a hf y53 ff1 fs0 fc0 sc0 ls9d">F<span class="ff2 ls3f ws4">(</span><span class="ls11">z<span class="ff2 ls3f ws2">) = ln(</span><span class="ls9e">r<span class="ff2 ls3f wsb">) + </span><span class="ls3f ws0">\u0131\u03b8 ,<span class="_23 blank"> </span>r<span class="_4 blank"> </span>><span class="_7 blank"> </span><span class="ff2 ws4">0</span><span class="ls9f">,<span class="ff5 lsa0">\u2212</span></span><span class="v2">\u03c0</span></span></span></span></div><div class="t m0 x3b h15 y54 ff2 fs0 fc0 sc0 lsa1">2<span class="ff1 ls3f ws53 v2">< \u03b8<span class="_4 blank"> </span><<span class="_1f blank"> </span><span class="v2">\u03c0</span></span></div><div class="t m0 x3c h2 y54 ff2 fs0 fc0 sc0 ls3f">2</div><div class="t m0 x3d h5 y55 ff1 fs0 fc0 sc0 lsa2">F<span class="ff6 fs1 lse v1">0</span><span class="ff2 ls3f ws4">(</span><span class="ls11">z<span class="ff2 ls3f ws54">) = 1<span class="ff1">/z</span></span></span></div><div class="t m0 x3e h2 y56 ff1 fs0 fc0 sc0 ls3f ws14">G<span class="ff2 lsc">(</span><span class="lsf">z</span><span class="ff2 wse">) = </span><span class="lsa2">F</span><span class="ff2 ws4">(2</span><span class="lsa3">z<span class="ff2 lsa4">+</span><span class="lsa5">\u0131<span class="ff5 lsa6">\u2212</span></span></span><span class="ff2">2)</span></div><div class="t m0 x17 h2 y57 ff1 fs0 fc0 sc0 ls3f ws55">z<span class="_24 blank"> </span>x > <span class="ff2">1</span></div><div class="t m0 x23 h2 y58 ff1 fs0 fc0 sc0 ls3f ws56">z<span class="_25 blank"> </span>z <span class="ff2 lsa7">=</span><span class="ls5a">r</span><span class="ff2 ws4">exp(</span><span class="ws3a">\u0131\u03b8 <span class="ff2 lsa8">)<span class="ff5 ls33">\u2212</span></span><span class="ws1b">\u03c0 /<span class="ff2 lsa9">2</span><<span class="_15 blank"> </span>\u03b8<span class="_1c blank"> </span><<span class="_15 blank"> </span>\u03c0 /<span class="ff2">2</span></span></span></div><div class="t m0 x3f h2 y59 ff2 fs0 fc0 sc0 ls3f ws4">Re(<span class="ff1 ls11">z</span><span class="lsaa">)<span class="ff1 lsab">></span></span>0</div><div class="t m0 x1 h2 y5a ff1 fs0 fc0 sc0 lsac">L<span class="ff2 ls3f ws4">(</span><span class="ls11">z<span class="ff2 ls3f ws57">) = ln(</span><span class="ls5d">r<span class="ff2 ls3f ws58">) + </span><span class="ls3f ws59">\u0131\u03b8<span class="_26 blank"> </span>r<span class="_1f blank"> </span>> <span class="ff2 lsad">0<span class="ff5 ls33">\u2212</span></span><span class="ws1b">\u03c0 /<span class="ff2 lsae">2</span><span class="ws5a">< \u03b8<span class="_5 blank"> </span>< <span class="ff2 ws4">3</span></span>\u03c0 /<span class="ff2">2</span></span></span></span></span></div><div class="t m0 x40 h2 y5b ff1 fs0 fc0 sc0 lsaf">y<span class="ff5 lsb0">\u2264<span class="ff2 ls3f">0</span></span></div><div class="t m0 xc h2 y5c ff1 fs0 fc0 sc0 lsb1">\u03b8<span class="ff2 lsb2">=<span class="ff5 ls33">\u2212</span></span><span class="ls3f ws1b">\u03c0 /<span class="ff2 lsb3">2</span><span class="ls9d">F<span class="ff2 lsc">(</span><span class="lsf">z</span></span><span class="ff2 ws5b">) = </span><span class="ws14">L<span class="ff2 lsc">(</span><span class="lsf">z</span><span class="ff2">)</span></span></span></div><div class="t m0 x26 h2 y5d ff2 fs0 fc0 sc0 ls3f ws4">Re(<span class="ff1 lsf">z</span><span class="lsb4">)<span class="ff1 lsb5">></span><span class="lsb6">0</span></span><span class="ff1">F</span></div><div class="t m0 x1 h5 y5e ff1 fs0 fc0 sc0 lsa2">F<span class="ff6 fs1 lse v1">0</span><span class="ff2 ls3f ws4">(</span><span class="ls11">z<span class="ff2 ls3f ws9">) = </span><span class="lsac">L<span class="ff6 fs1 lse v1">0</span><span class="ff2 ls3f ws4">(</span></span>z<span class="ff2 ls3f ws27">) = 1</span><span class="ls3f ws26">/z<span class="_27 blank"> </span>f <span class="ff2 lsc">(</span><span class="lsf">z</span></span><span class="ff2 ls19 wsc">)=2<span class="_8 blank"></span><span class="ff1 lsb7">z<span class="ff2 lsb8">+</span><span class="lsb9">\u0131<span class="ff5 lsba">\u2212<span class="ff2 ls3f">2</span></span></span></span></span></span></div><div class="t m0 x41 h2 y5f ff1 fs0 fc0 sc0 ls3f ws5c">x > <span class="ff2 ws5d">1 Re(</span><span class="lsd">f<span class="ff2 lsc">(</span><span class="lsf">z</span></span><span class="ff2 ws27">)) = 2</span><span class="lsbb">x<span class="ff5 lsbc">\u2212<span class="ff2 lsbd">2</span></span><span class="ls1">></span></span><span class="ff2">0</span></div><div class="t m0 x12 h2 y60 ff1 fs0 fc0 sc0 ls12">f<span class="ff2 ls3f ws4">(</span><span class="ls11">z<span class="ff2 ls3f ws5e">) Re(</span><span class="lsf">z<span class="ff2 lsbe">)</span><span class="lsbf">><span class="ff2 lsc0">0</span><span class="ls3f ws5f">x > <span class="ff2">1</span></span></span></span></span></div><div class="t m0 x1 h2 y61 ff1 fs0 fc0 sc0 lsa2">F<span class="ff2 ls3f ws4">(</span><span class="ls12">f<span class="ff2 ls3f ws4">(</span><span class="ls11">z<span class="ff2 ls3f">))</span></span></span></div><div class="t m0 xf h2 y62 ff2 fs0 fc0 sc0 ls3f ws4">Re(<span class="ff1 lsf">z</span><span class="lsc1">)<span class="ff1 ls1e">></span></span>0</div><div class="t m0 x17 h2 y63 ff1 fs0 fc0 sc0 ls3f">u</div><div class="t m0 xf h2 y64 ff1 fs0 fc0 sc0 ls3f">v</div><div class="t m0 x2c hb y65 ff2 fs0 fc0 sc0 ls3f ws60">a) <span class="ff1 ls4f">u</span><span class="ws2">= 2<span class="ff1 ls1b">x</span><span class="ws61">(1 <span class="ff5 ls1c">\u2212<span class="ff1 lsb">y</span></span><span class="ws62">)<span class="_28 blank"> </span>b) <span class="ff1 ls4f">u</span></span></span>= 2<span class="ff1 ls49">x<span class="ff5 ls9">\u2212</span><span class="ls92">x<span class="ff3 fs1 ls21 v1">3</span></span></span><span class="wsb">+ 3<span class="ff1 ws3">xy <span class="ff3 fs1 v1">2</span></span></span></span></div><div class="t m0 x2c ha y66 ff2 fs0 fc0 sc0 ls3f ws63">c) <span class="ff1 lsc2">u</span><span class="ws4f">= senh(<span class="ff1 ls1b">x</span><span class="ws10">) sen(<span class="ff1 ls7">y</span><span class="ws64">)<span class="_29 blank"> </span>d) <span class="ff1 ls4f">u</span><span class="ls1e">=<span class="ff1 lsb">y</span><span class="lsc">(<span class="ff1 ls1b">x<span class="ff3 fs1 ls21 v1">2</span></span><span class="ls3">+<span class="ff1 ls7">y<span class="ff3 fs1 ls4 v1">2</span></span></span></span></span><span class="ws4">)<span class="ff6 fs1 ls93 v1">\u2212<span class="ff3 ls3f">1</span></span></span></span></span></span></div></div><div class="pi" data-data='{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}'></div></div> <div id="pf5" class="pf w0 h0" data-page-no="5"><div class="pc pc5 w0 h0"><img fetchpriority="low" loading="lazy" class="bi x42 y0 w3 h10" alt="" src="https://files.passeidireto.com/75f39020-13a1-4faa-baa1-81480f05f8c9/bg5.png"><div class="t m0 x11 h2 y2f ff1 fs0 fc0 sc0 ls3f ws65">f D</div><div class="t m0 x1 h2 y30 ff1 fs0 fc0 sc0 lsc3">z<span class="ff2 ls3f ws66">= 0<span class="_2a blank"> </span></span><span class="ls12">f<span class="ff2 ls3f ws4">(</span><span class="ls11">z<span class="ff2 ls3f ws67">) = </span><span class="ls3f ws14">u<span class="ff2 lsc">(</span><span class="ws68">r<span class="_2b blank"></span>,<span class="_2c blank"> </span>\u03b8 <span class="ff2 ws69">) + </span><span class="ws6a">\u0131v <span class="ff2 ws4">(</span><span class="ws6b">r<span class="_2b blank"></span>,<span class="_2c blank"> </span>\u03b8 <span class="ff2">)</span></span></span></span></span></span></span></div><div class="t m0 x43 h2 y31 ff1 fs0 fc0 sc0 ls3f ws6c">D u</div><div class="t m0 x44 h2 y32 ff1 fs0 fc0 sc0 ls3f">v</div><div class="t m0 x45 h16 y67 ff1 fs0 fc0 sc0 ls5d">r<span class="ff3 fs1 lsc4 v1">2</span><span class="lsc5 v2">\u2202</span><span class="ff3 fs1 ls4 vb">2</span><span class="ls3f v2">u</span></div><div class="t m0 x39 h7 y68 ff1 fs0 fc0 sc0 ls3f ws6d">\u2202<span class="_a blank"> </span>r <span class="ff3 fs1 lsc6 v9">2</span><span class="ff2 ls3 v2">+</span><span class="lsc7 v2">r</span><span class="ws7 v3">\u2202 u</span></div><div class="t m0 x46 h17 y68 ff1 fs0 fc0 sc0 ls3f ws7">\u2202 r<span class="_5 blank"> </span><span class="ff2 lsc8 v2">+</span><span class="lsc5 v3">\u2202</span><span class="ff3 fs1 ls22 vc">2</span><span class="v3">u</span></div><div class="t m0 x47 h8 y68 ff1 fs0 fc0 sc0 ls3f ws6e">\u2202<span class="_a blank"> </span>\u03b8 <span class="ff3 fs1 lsc9 v9">2</span><span class="ff2 ws2 v2">= 0</span></div><div class="t m0 x35 h2 y69 ff1 fs0 fc0 sc0 ls3f ws6f">u v</div><div class="t m0 x11 ha y6a ff1 fs0 fc0 sc0 ls3f ws14">u<span class="ff4 fs1 lsca v5">r</span><span class="ff2 ls1">=</span><span class="ls9e">r</span><span class="ff6 fs1 ws6 v1">\u2212<span class="ff3 ls22">1</span></span>v<span class="ff4 fs1 lscb v5">\u03b8</span>u<span class="ff4 fs1 lscc v5">\u03b8</span><span class="ff2 ls1">=<span class="ff5 ls33">\u2212</span></span><span class="ws0">r v<span class="ff4 fs1 v5">r</span></span></div><div class="t m0 x10 h18 y6b ff1 fs0 fc0 sc0 ls9e">r<span class="ff3 fs1 lscd v1">2</span><span class="lsc5 v2">\u2202</span><span class="ff3 fs1 ls22 vb">2</span><span class="ls3f v2">u</span></div><div class="t m0 x21 h7 y6c ff1 fs0 fc0 sc0 ls3f ws70">\u2202<span class="_a blank"> </span>r <span class="ff3 fs1 lsce v9">2</span><span class="ff2 ls20 v2">+</span><span class="lsc7 v2">r</span><span class="ws7 v3">\u2202 u</span></div><div class="t m0 x1d h17 y6c ff1 fs0 fc0 sc0 ls3f ws7">\u2202 r<span class="_5 blank"> </span><span class="ff2 lscf v2">+</span><span class="lsc5 v3">\u2202</span><span class="ff3 fs1 ls4 vc">2</span><span class="v3">u</span></div><div class="t m0 x19 hc y6c ff1 fs0 fc0 sc0 ls3f ws71">\u2202<span class="_a blank"> </span>\u03b8 <span class="ff3 fs1 lsd0 v9">2</span><span class="ff2 ls1 v2">=</span><span class="ls9e v2">r</span><span class="ff3 fs1 ls4 v7">2</span><span class="lsd1 v2">\u2202</span><span class="ff4 fs1 lsd2 v6">r</span><span class="ff2 lsc v2">(</span><span class="ws14 v2">u</span><span class="ff4 fs1 ls85 v6">r</span><span class="ff2 wsb v2">) + </span><span class="ws0 v2">r u</span><span class="ff4 fs1 lsd3 v6">r</span><span class="ff2 ls20 v2">+</span><span class="ws14 v2">\u2202</span><span class="ff4 fs1 lsd4 v6">\u03b8</span><span class="ff2 ws4 v2">(</span><span class="ls35 v2">u</span><span class="ff4 fs1 lsd4 v6">\u03b8</span><span class="ff2 v2">)</span></div><div class="t m0 x24 hb y6d ff2 fs0 fc0 sc0 ls1">=<span class="ff1 ls9e">r<span class="ff3 fs1 ls4 v1">2</span><span class="lsd1">\u2202<span class="ff4 fs1 lsd2 v5">r</span></span></span><span class="lsc">(<span class="ff1 ls5d">r<span class="ff6 fs1 ls93 v1">\u2212<span class="ff3 ls4">1</span></span><span class="ls3f ws14">v<span class="ff4 fs1 lsd4 v5">\u03b8</span></span></span><span class="ls3f wsb">) + <span class="ff1 ws0">r r <span class="ff6 fs1 ls93 v1">\u2212<span class="ff3 ls4">1</span></span><span class="ws14">v<span class="ff4 fs1 lsd5 v5">\u03b8</span></span></span><span class="ls3">+<span class="ff1 lsd1">\u2202<span class="ff4 fs1 lsd4 v5">\u03b8</span></span></span><span class="ws4">(<span class="ff5 ws19">\u2212<span class="ff1 ws0">r v<span class="ff4 fs1 ls85 v5">r</span></span></span>)</span></span></span></div><div class="t m0 x24 ha y6e ff2 fs0 fc0 sc0 ls1">=<span class="ff5 ls33">\u2212<span class="ff1 ls5d">r<span class="ff3 fs1 ls22 v1">2</span>r<span class="ff6 fs1 ls93 v1">\u2212<span class="ff3 ls4">2</span></span><span class="ls3f ws14">v<span class="ff4 fs1 lsd5 v5">\u03b8</span></span></span></span><span class="ls3">+<span class="ff1 ls5d">r<span class="ff3 fs1 ls22 v1">2</span>r<span class="ff6 fs1 ls93 v1">\u2212<span class="ff3 ls4">1</span></span><span class="ls3f ws14">v<span class="ff4 fs1 ws72 v5">\u03b8r<span class="_4 blank"> </span></span></span></span><span class="ls20">+<span class="ff1 ls3f ws14">v<span class="ff4 fs1 lsd5 v5">\u03b8</span><span class="ff5 ls9">\u2212</span><span class="ws0">rv<span class="ff4 fs1 ws72 v5">r \u03b8</span></span></span></span></span></div><div class="t m0 x24 h2 y6f ff2 fs0 fc0 sc0 ls1">=<span class="ff5 ls33">\u2212<span class="ff1 ls3f ws14">v<span class="ff4 fs1 lsd5 v5">\u03b8</span></span></span><span class="ls3">+<span class="ff1 ls3f ws0">r v<span class="ff4 fs1 ws73 v5">\u03b8r<span class="_4 blank"> </span></span></span>+<span class="ff1 ls3f ws14">v<span class="ff4 fs1 lsd5 v5">\u03b8</span><span class="ff5 ls9">\u2212</span><span class="ws0">rv<span class="ff4 fs1 ws73 v5">r \u03b8<span class="_1f blank"> </span></span></span></span><span class="ls3f ws2">= 0</span></span></div><div class="t m0 x11 h2 y70 ff1 fs0 fc0 sc0 ls3f ws14">v<span class="ff4 fs1 ws73 v5">r\u03b8<span class="_5 blank"> </span></span><span class="ff2 lsd6">=</span>v<span class="ff4 fs1 ws72 v5">\u03b8 r<span class="_2d blank"> </span></span>v</div><div class="t m0 x32 h2 y71 ff1 fs0 fc0 sc0 ls4f">u<span class="ff2 ls3f ws2">= ln(</span><span class="ls5d">r<span class="ff2 lsd7">)</span><span class="ls3f ws74">r<span class="_4 blank"> </span>> <span class="ff2 ws75">0<span class="_1b blank"> </span>0 </span><span class="ws53">< \u03b8<span class="_4 blank"> </span><</span></span></span></div><div class="t m0 x1 h2 y72 ff2 fs0 fc0 sc0 ls3f ws4">2<span class="ff1">\u03c0</span></div><div class="t m0 x48 h2 y73 ff1 fs0 fc0 sc0 ls3f">u</div><div class="t m0 x49 h2 y74 ff1 fs0 fc0 sc0 ls3f">v</div><div class="t m0 x31 hf y75 ff1 fs0 fc0 sc0 ls35">u<span class="ff4 fs1 lsd8 v5">r</span><span class="ff2 ls17">=<span class="ls3f v2">1</span></span></div><div class="t m0 x4a h14 y76 ff1 fs0 fc0 sc0 ls80">r<span class="ls34 v2">v</span><span class="ff4 fs1 lsd9 v6">\u03b8</span><span class="ls35 v2">u</span><span class="ff4 fs1 lsda v6">\u03b8</span><span class="ff2 ls1e v2">=<span class="ff5 ls3f ws19">\u2212<span class="ff1 ws0">r v<span class="ff4 fs1 v5">r</span></span></span></span></div><div class="t m0 x2f hf y77 ff1 fs0 fc0 sc0 ls3f ws14">v<span class="ff4 fs1 lsca v5">r</span><span class="ff2 ls1">=<span class="ff5 lsa0">\u2212</span><span class="ls3f v2">1</span></span></div><div class="t m0 x4b h7 y78 ff1 fs0 fc0 sc0 ls80">r<span class="ls35 v2">u</span><span class="ff4 fs1 lscc v6">\u03b8</span><span class="ff2 ls3f ws2 v2">= 0<span class="_2e blank"> </span></span><span class="ls35 v2">u</span><span class="ff4 fs1 lsda v6">\u03b8</span><span class="ff2 ls3f ws2 v2">= 0;<span class="_23 blank"> </span></span><span class="ls34 v2">v</span><span class="ff4 fs1 lsda v6">\u03b8</span><span class="ff2 ls3f ws76 v2">== </span><span class="ls3f ws0 v2">r u</span><span class="ff4 fs1 lsca v6">r</span><span class="ff2 ls3f ws2 v2">= 1<span class="_2e blank"> </span></span><span class="ls3f ws14 v2">u</span><span class="ff4 fs1 lsca v6">r</span><span class="ff2 ls17 v2">=<span class="ls3f v2">1</span></span></div><div class="t m0 x4c h8 y78 ff1 fs0 fc0 sc0 ls80">r<span class="ls3f v2">.</span></div><div class="t m0 x29 h2 y79 ff1 fs0 fc0 sc0 ls3f ws14">v<span class="ff4 fs1 lsd8 v5">r</span><span class="ff2 ws2">= 0<span class="_2f blank"> </span></span><span class="ws77">v<span class="_30 blank"> </span>r<span class="_29 blank"> </span>v <span class="ff2 lsc">(</span><span class="ws68">r<span class="_2b blank"></span>,<span class="_2c blank"> </span>\u03b8 <span class="ff2 wse">) = </span><span class="ws14">h<span class="ff2 lsc">(</span><span class="ls5f">\u03b8<span class="ff2 lsdb">)</span></span>h</span></span></span></div><div class="t m0 x4d h2 y7a ff1 fs0 fc0 sc0 ls3f">\u03b8</div><div class="t m0 x1 h5 y7b ff1 fs0 fc0 sc0 ls34">v<span class="ff4 fs1 lsdc v5">\u03b8</span><span class="ff2 ls3f ws78">= 1<span class="_1 blank"> </span></span><span class="ls3f ws14">h<span class="ff6 fs1 lse v1">0</span><span class="ff2 ws4">(</span><span class="ls5f">\u03b8</span><span class="ff2 ws78">) = 1<span class="_31 blank"> </span></span>h<span class="ff2 ws4">(</span><span class="ls5e">\u03b8</span><span class="ff2 ws78">) = </span><span class="lsdd">\u03b8<span class="ff2 lsde">+</span></span><span class="ws79">c<span class="_32 blank"> </span>c <span class="ff5 lsdf">\u2208</span><span class="ff7">R</span></span></span></div><div class="t m0 x4e h2 y7c ff1 fs0 fc0 sc0 ls3f ws77">u<span class="_33 blank"> </span>v <span class="ff2 lsc">(</span><span class="ws68">r<span class="_2b blank"></span>,<span class="_2c blank"> </span>\u03b8 <span class="ff2 wse">) = </span><span class="lse0">\u03b8<span class="ff2 ls3">+</span></span>c</span></div><div class="t m0 x45 h3 y7d ff1 fs0 fc0 sc0 ls0">w<span class="ff2 ls3f ws2">= 2</span><span class="ls11">z<span class="ff3 fs1 ls21 v1">2</span><span class="ff5 ls9">\u2212<span class="ff2 lse1">3</span>\u2212</span><span class="ls4c">z<span class="ff2 ls3f ws4">e<span class="ff4 fs1 lse2 v1">z</span><span class="ws7a">+ e<span class="ff6 fs1 ls93 v1">\u2212<span class="ff4 ls3f">z</span></span></span></span></span></span></div><div class="t m0 x23 ha y7e ff1 fs0 fc0 sc0 ls3f ws7b">w<span class="_34 blank"> </span>w <span class="ff2 ws7c">= 2</span><span class="lsf">z<span class="ff3 fs1 lse3 v1">3</span><span class="ff5 lse4">\u2212</span></span><span class="ff2">3</span></div><div class="t m0 x25 h3 y7f ff1 fs0 fc0 sc0 lse5">w<span class="ff2 lse6">=<span class="ff5 ls33">\u2212</span></span><span class="ls4c">z<span class="ff2 ls96">e<span class="ff4 fs1 ls3f v1">z</span></span></span></div><div class="t m0 x4f h3 y80 ff1 fs0 fc0 sc0 ls1d">w<span class="ff2 ls3f ws4f">= e<span class="ff6 fs1 ws6 v1">\u2212<span class="ff4">z</span></span></span></div></div><div class="pi" data-data='{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}'></div></div> <div id="pf6" class="pf w0 h0" data-page-no="6"><div class="pc pc6 w0 h0"><img fetchpriority="low" loading="lazy" class="bi x42 y0 w3 h10" alt="" src="https://files.passeidireto.com/75f39020-13a1-4faa-baa1-81480f05f8c9/bg6.png"><div class="t m0 x7 h2 y2f ff2 fs0 fc0 sc0 ls3f ws4">cos(<span class="ff1 ls11">z</span><span class="ws27">) = 2</span></div><div class="t m0 x50 hf y81 ff2 fs0 fc0 sc0 ls3f ws4">cosh(<span class="ff1 lsf">z</span><span class="ws2">) =<span class="_5 blank"> </span><span class="v2">1</span></span></div><div class="t m0 x51 h14 y82 ff2 fs0 fc0 sc0 lse7">2<span class="ls3f ws4 v2">senh(<span class="ff1 ls11">z</span><span class="ws9">) = <span class="ff1">\u0131</span></span></span></div><div class="t m0 x15 h2 y83 ff2 fs0 fc0 sc0 ls3f ws4">cosh(<span class="ff1 lsf">z</span><span class="wse">) = <span class="ff5 ws19">\u2212</span>2</span></div><div class="t m0 x52 h2 y84 ff1 fs0 fc0 sc0 lse8">n<span class="ff2 ls3f ws2">= 0</span><span class="ls39">,<span class="ff2 ls3f ws4">1</span>,<span class="ff2 ls3f ws4">2</span><span class="ls3f ws16">, . . .</span></span></div><div class="t m0 x2 h19 y85 ff2 fs0 fc0 sc0 ls3f ws7d">log(1)<span class="_1f blank"> </span>=<span class="_4 blank"> </span><span class="ff5 ls33">±</span><span class="ws4">2<span class="ff1 ws1b">n\u03c0 \u0131<span class="_1 blank"> </span></span></span>log(<span class="ff5 ls33">\u2212</span><span class="ws7e">1) = <span class="ff5 ws19">±</span><span class="ws4">(2<span class="ff1 lse9">n</span><span class="ws7f">+ 1)<span class="ff1 ws1b">\u03c0 \u0131<span class="_2f blank"> </span></span></span></span></span>log(<span class="ff1 ws14">\u0131</span><span class="ws80">) =<span class="_15 blank"> </span><span class="ff4 fs1 v1">\u03c0</span></span></div><div class="t m0 x53 h1a y86 ff3 fs1 fc0 sc0 lsea">2<span class="ff1 fs0 lseb v8">\u0131<span class="ff5 ls3f">±</span></span></div><div class="t m0 x1 h3 y87 ff2 fs0 fc0 sc0 ls3f ws4">2<span class="ff1 ws1b">n\u03c0 \u0131<span class="_35 blank"> </span></span><span class="ws7d">log(<span class="ff1 ws14">\u0131<span class="ff3 fs1 ws32 v1">1<span class="ff4 lsec">/<span class="ff3 ls4">2</span></span></span></span><span class="ws2">) =<span class="_5 blank"> </span><span class="ff4 fs1 v1">\u03c0</span></span></span></div><div class="t m0 x19 h1b y88 ff3 fs1 fc0 sc0 lsea">4<span class="ff1 fs0 lsed v8">\u0131<span class="ff5 ls9">±<span class="ff1 ls3f ws1b">n\u03c0 \u0131</span></span></span></div><div class="t m0 xf h2 y89 ff2 fs0 fc0 sc0 ls3f ws7d">log(<span class="ff1 lsf">z</span>)<span class="_36 blank"> </span>log(<span class="ff1 ls11">z</span><span class="ws81">)<span class="_7 blank"> </span>=<span class="_7 blank"> </span>ln <span class="ff5 ws19">|<span class="ff1 lsf">z</span><span class="lsee">|</span></span>+</span></div><div class="t m0 x1 h2 y8a ff1 fs0 fc0 sc0 lsef">\u0131<span class="ff2 ls3f ws7d">arg(</span><span class="ls11">z<span class="ff2 lsf0">)</span><span class="lsf1">z<span class="ff5 ls3f ws19">6<span class="ff2 ws82">= 0<span class="_37 blank"> </span>ln</span></span></span></span></div><div class="t m0 xa h1c y8b ff2 fs0 fc0 sc0 ls3f ws4">ln(<span class="ff1 ls9e">r</span><span class="ws9">) = <span class="ff8 lsf2 v3">Z</span><span class="ff4 fs1 v7">r</span></span></div><div class="t m0 x33 h1d y8c ff3 fs1 fc0 sc0 ls3f">1</div><div class="t m0 xb h2 y8d ff2 fs0 fc0 sc0 ls3f">1</div><div class="t m0 xb h14 y8e ff1 fs0 fc0 sc0 lsf3">t<span class="ls3f ws74 v2">dt<span class="_38 blank"> </span>r<span class="_4 blank"> </span>> <span class="ff2">0</span></span></div><div class="t m0 xb h19 y8f ff2 fs0 fc0 sc0 ls3f ws7d">Log(<span class="ff5 lsf4">\u2212</span><span class="lsf5">e</span><span class="ff1 ws14">\u0131</span><span class="ws83">)<span class="_7 blank"> </span>=<span class="_7 blank"> </span>1 <span class="ff5 lsf6">\u2212</span><span class="ff4 fs1 v1">\u03c0</span></span></div><div class="t m0 x46 h1e y90 ff3 fs1 fc0 sc0 lsea">2<span class="ff1 fs0 lsf7 v8">\u0131<span class="ff2 ls3f ws7d">Log(1<span class="_39 blank"> </span><span class="ff5 ls9">\u2212</span><span class="ff1 ws14">\u0131</span><span class="ws2">) =<span class="_5 blank"> </span></span></span></span><span class="ls3f vd">1</span></div><div class="t m0 x54 h1f y90 ff3 fs1 fc0 sc0 lsf8">2<span class="ff2 fs0 ls3f ws84 v8">ln(2) <span class="ff5 lsf9">\u2212</span></span><span class="ff4 ls3f vd">\u03c0</span></div><div class="t m0 x53 h1a y90 ff3 fs1 fc0 sc0 lsea">4<span class="ff1 fs0 ls3f v8">\u0131</span></div><div class="t m0 x55 h2 y91 ff2 fs0 fc0 sc0 ls3f ws7d">Log(<span class="ff1 ls11">z</span>)</div><div class="t m0 x1f h2 y92 ff2 fs0 fc0 sc0 ls3f ws7d">Log(<span class="ff1 ls11">z</span><span class="ws85">) = ln(<span class="ff1 ls5d">r</span><span class="ws86">) + <span class="ff1 ws87">\u0131\u03b8<span class="_2a blank"> </span>z </span><span class="lsfa">=<span class="ff1 ls5d">r<span class="ff5 ls6">{</span></span></span><span class="ws4">cos(<span class="ff1 ls5f">\u03b8</span></span>) +</span></span></div><div class="t m0 x1 h2 y93 ff1 fs0 fc0 sc0 lsef">\u0131<span class="ff2 ls3f ws4">sen(</span><span class="ls5e">\u03b8<span class="ff2 ls3f ws4">)<span class="ff5 lsfb">}</span></span><span class="ls3f ws88">r<span class="_4 blank"> </span>> <span class="ff2 lsfc">0</span><span class="ff5 ws19">\u2212</span><span class="ws89">\u03c0 < \u03b8<span class="_4 blank"> </span><span class="ff5 lsfd">\u2264</span>\u03c0</span></span></span></div><div class="t m0 x7 h19 y94 ff2 fs0 fc0 sc0 ls3f ws7d">log(<span class="ff1 ls11">z</span><span class="ws2">) =<span class="_5 blank"> </span><span class="ff4 fs1 v1">\u03c0</span></span></div><div class="t m0 x56 h1a y95 ff3 fs1 fc0 sc0 lsea">2<span class="ff1 fs0 ls3f v8">\u0131</span></div><div class="t m0 x7 h2 y96 ff2 fs0 fc0 sc0 ls3f ws4">exp(<span class="ff1 ls11">z</span><span class="ws9">) = <span class="ff5 ls33">\u2212</span>3</span></div><div class="t m0 x52 h2 y97 ff1 fs0 fc0 sc0 lse8">n<span class="ff2 ls3f ws2">= 0</span><span class="ls39">,<span class="ff2 ls3f ws4">1</span>,<span class="ff2 ls3f ws4">2</span><span class="ls3f ws16">, . . .</span></span></div><div class="t m0 x1 h3 y98 ff2 fs0 fc0 sc0 ls3f ws2">a) (1+<span class="ff1 ws14">\u0131</span><span class="lsc">)<span class="ff4 fs1 lsfe v1">\u0131</span></span>= exp(<span class="ff5 lsa0">\u2212</span><span class="ff4 fs1 v1">\u03c0</span></div><div class="t m0 xc h1e y99 ff3 fs1 fc0 sc0 lsea">4<span class="ff5 fs0 ls3f ws19 v8">±<span class="ff2 ws4">2<span class="ff1 ws8a">n\u03c0 </span><span class="ws8b">)<span class="_2c blank"> </span>exp( </span></span></span><span class="ls3f vd">1</span></div><div class="t m0 x57 h20 y99 ff3 fs1 fc0 sc0 lsf8">2<span class="ff2 fs0 ls3f ws4 v8">ln(2)<span class="ff1 ws14">\u0131<span class="ff2 ws2">)<span class="_3a blank"> </span>b) (<span class="ff5 ls33">\u2212</span></span></span>1)</span><span class="ls3f ws32 vd">1<span class="ff4 ws8c">/\u03c0 <span class="ff2 fs0 ws2 v4">= exp(<span class="ff5 ls33">±</span><span class="ws4">(2<span class="ff1 lsff">n</span>+1)<span class="ff1 ws14">\u0131</span>)</span></span></span></span></div><div class="t m0 x58 h21 y9a ff2 fs0 fc0 sc0 ls3f ws8d">tg<span class="ff6 fs1 ws6 v1">\u2212<span class="ff3 ls4">1</span></span><span class="ws4">(2<span class="ff1 ws14">\u0131</span></span>)<span class="_3b blank"> </span>tg<span class="ff6 fs1 ws6 v1">\u2212<span class="ff3 ls4">1</span></span><span class="ws4">(1+<span class="ff1 ws14">\u0131</span><span class="ws8e">) cosh<span class="ff6 fs1 ws6 v1">\u2212<span class="ff3 ls22">1</span></span></span>(<span class="ff5 ls33">\u2212</span>1)</span></div><div class="t m0 x59 h21 y9b ff2 fs0 fc0 sc0 ls3f ws4">tgh<span class="ff6 fs1 ws6 v1">\u2212<span class="ff3 ls4">1</span></span>(0)</div><div class="t m0 x1b hb y9c ff1 fs0 fc0 sc0 ls1d">w<span class="ff2 ls3f ws8f">=<span class="_15 blank"> </span>tg <span class="ff6 fs1 ws6 v1">\u2212<span class="ff3 ls22">1</span></span><span class="ws4">(2</span></span><span class="ls3f ws14">\u0131<span class="ff2 ws7d">)<span class="_3c blank"> </span>tg(</span><span class="ls100">w</span></span><span class="ff2 ls19 wsc">)=2<span class="_8 blank"></span><span class="ff1 ls3f">\u0131</span></span></div><div class="t m0 x5a hf y9d ff2 fs0 fc0 sc0 ls3f ws4">2<span class="ff1 ls101">\u0131</span><span class="ws7d">=<span class="_15 blank"> </span>tg (<span class="ff1 ls102">w</span><span class="ws2">) =<span class="_1b blank"> </span></span></span><span class="v2">sen(<span class="ff1 ls102">w</span>)</span></div><div class="t m0 x5b h22 y9e ff2 fs0 fc0 sc0 ls3f ws4">cos(<span class="ff1 ls100">w</span><span class="ls103">)<span class="ls17 v2">=</span></span><span class="ws10 v3">( e</span><span class="ff4 fs1 ws90 vc">\u0131w </span><span class="ff5 ls104 v3">\u2212</span><span class="ls96 v3">e</span><span class="ff6 fs1 ls93 vc">\u2212<span class="ff4 ls3f ws91">\u0131w </span></span><span class="v3">)<span class="ff1 ws14">/</span>2<span class="ff1">\u0131</span></span></div><div class="t m0 x5c h15 y9e ff2 fs0 fc0 sc0 ls96">e<span class="ff4 fs1 ls3f ws90 v9">\u0131w </span><span class="ls3f ws7a">+ e<span class="ff6 fs1 ls93 v9">\u2212<span class="ff4 ls3f ws91">\u0131w </span></span><span class="ws4">)<span class="ff1 ws14">/</span><span class="ls105">2<span class="ls17 v2">=</span></span><span class="v3">1</span></span></span></div><div class="t m0 x5d h2 y9e ff1 fs0 fc0 sc0 ls3f">\u0131</div><div class="t m0 x5e h23 y9f ff2 fs0 fc0 sc0 ls96">e<span class="ff4 fs1 ls3f ws90 v8">\u0131w </span><span class="ff5 ls104">\u2212</span>e<span class="ff6 fs1 ls93 v8">\u2212<span class="ff4 ls3f">\u0131w</span></span></div><div class="t m0 x5e h15 y9e ff2 fs0 fc0 sc0 ls96">e<span class="ff4 fs1 ls3f ws90 v9">\u0131w </span><span class="ls3f ws7a">+ e<span class="ff6 fs1 ls93 v9">\u2212<span class="ff4 ls3f ws92">\u0131w </span></span><span class="ls17 v2">=</span><span class="v3">1</span></span></div><div class="t m0 x5f h2 y9e ff1 fs0 fc0 sc0 ls3f">\u0131</div><div class="t m0 x1e h23 y9f ff2 fs0 fc0 sc0 ls3f ws4">e<span class="ff3 fs1 lsec v8">2<span class="ff4 ls3f ws90">\u0131w </span></span><span class="ff5 ls9">\u2212</span>1</div><div class="t m0 x1e h24 y9e ff2 fs0 fc0 sc0 ls3f ws4">e<span class="ff3 fs1 ws32 v9">2<span class="ff4 ws90">\u0131w </span></span><span class="wsb">+ 1</span></div><div class="t m0 x60 h3 ya0 ff2 fs0 fc0 sc0 ls3f ws4">2<span class="ff1 ws14">\u0131<span class="ff3 fs1 ls4 v1">2</span></span><span class="ws10">( e<span class="ff3 fs1 ws32 v1">2<span class="ff4 ws90">\u0131w </span></span><span class="wsb">+ 1)<span class="_7 blank"> </span>=<span class="_15 blank"> </span>e<span class="ff3 fs1 ws32 v1">2<span class="ff4 ws90">\u0131w </span></span><span class="ff5 ls9">\u2212</span><span class="ws2c">1 =<span class="_f blank"></span><span class="ff5 ws93">\u21d2 \u2212<span class="ff2 ws10">2 e<span class="ff3 fs1 ws32 v1">2<span class="ff4 ws90">\u0131w </span></span></span><span class="ls9">\u2212</span><span class="ff2 ws2">2 =<span class="_3d blank"> </span>e<span class="ff3 fs1 ws32 v1">2<span class="ff4 ws90">\u0131w </span></span></span><span class="ls9">\u2212</span><span class="ff2 ws2c">1 =<span class="_f blank"></span><span class="ff5 ls106">\u21d2<span class="ff2 ls96">e<span class="ff3 fs1 ls3f ws32 v1">2<span class="ff4 ws94">\u0131w </span></span><span class="ls1e">=</span></span><span class="lsa0">\u2212<span class="ff3 fs1 ls3f v1">1</span></span></span></span></span></span></span></span></div><div class="t m0 x61 h1d ya1 ff3 fs1 fc0 sc0 ls3f">3</div><div class="t m0 x10 h25 y7f ff2 fs0 fc0 sc0 ls3f ws4">2<span class="ff1 ws29">\u0131w </span><span class="ws95">=<span class="_7 blank"> </span>log(<span class="ff5 lsa0">\u2212</span><span class="ff3 fs1 v1">1</span></span></div><div class="t m0 x62 h1e ya2 ff3 fs1 fc0 sc0 ls107">3<span class="ff2 fs0 ls3f ws2 v8">) = ln(<span class="_3e blank"> </span></span><span class="ls3f vd">1</span></div><div class="t m0 x58 h1e ya2 ff3 fs1 fc0 sc0 ls108">3<span class="ff2 fs0 ls3f ws96 v8">) + <span class="ff1 ws14">\u0131<span class="ff2 ws4">(</span><span class="ls109">\u03c0</span></span>+ 2<span class="ff1 ws97">k \u03c0 </span><span class="ls10a">)<span class="ff1 ls1d">w</span></span><span class="ws98">=<span class="_7 blank"> </span>( </span></span><span class="ls3f vd">1</span></div><div class="t m0 x63 h26 ya2 ff3 fs1 fc0 sc0 ls10b">2<span class="ff2 fs0 ls10c v8">+<span class="ff1 ls10d">k<span class="ff2 ls3f ws4">)</span><span class="ls109">\u03c0</span></span>+<span class="ff1 lsa">\u0131</span><span class="ls3f ws99">ln <span class="ff5 ws19 ve">\u221a</span>3</span></span></div><div class="t m0 x12 h2 y80 ff1 fs0 fc0 sc0 ls3f">k</div></div><div class="pi" data-data='{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}'></div></div> <div id="pf7" class="pf w0 h0" data-page-no="7"><div class="pc pc7 w0 h0"><img fetchpriority="low" loading="lazy" class="bi x42 y0 w4 h27" alt="" src="https://files.passeidireto.com/75f39020-13a1-4faa-baa1-81480f05f8c9/bg7.png"><div class="t m0 x49 h28 y2f ff2 fs0 fc0 sc0 ls3f ws4">cos(<span class="ff1 lsf">z</span><span class="wse">) = <span class="ff5 ls59 ve">\u221a</span>2</span></div><div class="t m0 x64 h2 ya3 ff1 fs0 fc0 sc0 ls3f">f</div><div class="t m0 x3f h29 ya4 ff8 fs0 fc0 sc0 ls3f ws9a">Z<span class="ff4 fs1 vf">C</span></div><div class="t m0 x3e h2 ya5 ff1 fs0 fc0 sc0 lsd">f<span class="ff2 lsc">(</span><span class="lsf">z<span class="ff2 lsc">)</span><span class="ls3f ws9b">dz <span class="ff2 ws2">= 0</span></span></span></div><div class="t m0 x2a h2 ya6 ff1 fs0 fc0 sc0 ls10e">C<span class="ff5 ls3f ws19">|</span><span class="ls11">z<span class="ff5 ls10f">|<span class="ff2 ls3f ws2">= 1</span></span></span></div><div class="t m0 x15 h16 ya7 ff2 fs0 fc0 sc0 ls3f ws8">a) <span class="ff1 lsd">f</span><span class="ws4">(<span class="ff1 ls11">z</span><span class="ws2">) =<span class="_10 blank"> </span><span class="ff1 ls11 v2">z</span><span class="ff3 fs1 vb">2</span></span></span></div><div class="t m0 x3a h7 ya8 ff1 fs0 fc0 sc0 ls110">z<span class="ff5 ls1c">\u2212<span class="ff2 ls111">3<span class="ls3f ws9c v2">b) </span></span></span><span class="ls12 v2">f<span class="ff2 ls3f ws4">(<span class="ff1 ls11">z</span><span class="ws9">) = <span class="ff1 ls4c">z</span></span>exp(<span class="ff5 ws19">\u2212<span class="ff1 ls11">z</span></span><span class="ws9d">)<span class="_3f blank"> </span>c) </span></span>f<span class="ff2 ls3f ws4">(</span><span class="ls11">z<span class="ff2 ls3f ws2">) =<span class="_21 blank"> </span><span class="v2">1</span></span></span></span></div><div class="t m0 x65 h2a ya8 ff1 fs0 fc0 sc0 ls11">z<span class="ff3 fs1 ls21 v9">2</span><span class="ff2 ls3f wsb">+ 2</span><span class="ls110">z<span class="ff2 ls3f wsb">+ 2</span></span></div><div class="t m0 x15 h2 ya9 ff2 fs0 fc0 sc0 ls3f ws9c">d) <span class="ff1 lsd">f</span><span class="lsc">(<span class="ff1 lsf">z</span></span><span class="ws2">) =<span class="_15 blank"> </span>sech(<span class="ff1 lsf">z</span><span class="ws9e">)<span class="_3f blank"> </span>e) <span class="ff1 lsd">f</span><span class="ws4">(<span class="ff1 ls11">z</span><span class="ws7d">)<span class="_7 blank"> </span>=<span class="_15 blank"> </span>tg(<span class="ff1 ls11">z</span><span class="ws9f">)<span class="_40 blank"> </span>f )<span class="_7 blank"> </span><span class="ff1 ls12">f</span></span></span>(<span class="ff1 ls11">z</span><span class="ws7d">)<span class="_7 blank"> </span>=<span class="_15 blank"> </span>Log (<span class="ff1 ls110">z</span><span class="wsb">+ 2)</span></span></span></span></span></div><div class="t m0 x66 h2 yaa ff1 fs0 fc0 sc0 ls3f">f</div><div class="t m0 x67 h2 yab ff5 fs0 fc0 sc0 ls3f ws19">|<span class="ff1 ls11">z</span><span class="ls112">|</span><span class="ff2 ws2">= 1<span class="_41 blank"> </span><span class="ff1">f</span></span></div><div class="t m0 x46 h2 yac ff1 fs0 fc0 sc0 ls3f">f</div><div class="t m0 x1 ha yad ff1 fs0 fc0 sc0 ls11">z<span class="ff3 fs1 ls1f v1">2</span><span class="ff2 ls3f ws2">+ 2</span><span class="ls58">z<span class="ff2 ls3f ws7d">+<span class="_7 blank"> </span>2<span class="_15 blank"> </span>=<span class="_42 blank"> </span>0<span class="_43 blank"> </span>Log(</span></span>z<span class="ff2 ls3f">)</span></div><div class="t m0 x68 h2 yae ff1 fs0 fc0 sc0 ls58">z<span class="ff2 ls1">=</span><span class="ls54">x<span class="ff5 lsfd">\u2264<span class="ff2 ls3f">0</span></span></span></div><div class="t m0 x20 h2 yaf ff1 fs0 fc0 sc0 lsd">f<span class="ff2 lsc">(</span><span class="lsf">z<span class="ff2 ls3f ws7d">)<span class="_7 blank"> </span>=<span class="_15 blank"> </span>Log (</span><span class="ls113">z<span class="ff2 ls3f wsa0">+ 2)<span class="_2 blank"> </span><span class="ff1">f</span></span></span></span></div><div class="t m0 x1 h2 yb0 ff1 fs0 fc0 sc0 ls58">z<span class="ff2 ls1">=</span><span class="ls3f wsa1">x<span class="_44 blank"> </span>x <span class="ff2 wsb">+ 2<span class="_7 blank"> </span><span class="ff5 ls114">\u2264</span><span class="ls115">0</span></span></span>z<span class="ff2 ls1">=</span><span class="ls54">x<span class="ff5 ls3f wsa2">\u2264 \u2212<span class="ff2">2</span></span></span></div><div class="t m0 x69 h29 yb1 ff8 fs0 fc0 sc0 ls3f ws9a">Z<span class="ff4 fs1 vf">C</span></div><div class="t m0 x26 h2 yb2 ff1 fs0 fc0 sc0 ls3f">dz</div><div class="t m0 x20 h2b yb3 ff1 fs0 fc0 sc0 ls110">z<span class="ff5 ls9">\u2212<span class="ff2 lse1">2</span>\u2212</span><span class="ls116">\u0131<span class="ff2 ls3f ws2 v2">= 2</span><span class="ls3f ws1b v2">\u03c0 \u0131<span class="_45 blank"> </span></span><span class="ff8 ls3f ws9a v10">Z<span class="ff4 fs1 vf">C</span></span></span></div><div class="t m0 x3e h2 yb2 ff1 fs0 fc0 sc0 ls3f">dz</div><div class="t m0 x6a h8 yb3 ff2 fs0 fc0 sc0 lsc">(<span class="ff1 ls110">z<span class="ff5 ls9">\u2212</span></span><span class="lse1">2<span class="ff5 ls9">\u2212<span class="ff1 ls3f ws14">\u0131</span></span><span class="ls3f ws4">)<span class="ff4 fs1 ls117 v9">n</span><span class="ws2 v2">= 0<span class="_46 blank"> </span>(<span class="ff1 lse8">n</span>= 2<span class="ff1 ls39">,</span><span class="ws4">3<span class="ff1 ws16">, . . .</span>)</span></span></span></span></div><div class="t m0 x22 h2 yb4 ff1 fs0 fc0 sc0 ls118">C<span class="ff2 ls119">0<span class="ff5 ls11a">\u2264</span></span><span class="ls11b">x<span class="ff5 ls11c">\u2264<span class="ff2 ls3f wsa3">3<span class="_47 blank"> </span>0 </span><span class="ls11a">\u2264</span></span><span class="ls11d">y<span class="ff5 ls11a">\u2264<span class="ff2 ls3f">2</span></span></span></span></div><div class="t m0 x6b h2 yb5 ff1 fs0 fc0 sc0 ls3f ws14">z<span class="ff4 fs1 ls74 v5">o</span><span class="ff2 wsa4">=<span class="_7 blank"> </span>2 + </span><span class="wsa5">\u0131 f</span></div><div class="t m0 x6c h2 yb6 ff1 fs0 fc0 sc0 ls11e">C<span class="ff4 fs1 ls11f v5">r</span><span class="ls3f ws88">r<span class="_4 blank"> </span>> <span class="ff2 ls120">0</span><span class="ws14">z<span class="ff4 fs1 v5">o</span></span></span></div><div class="t m0 x32 h2 yb7 ff1 fs0 fc0 sc0 ls11e">C<span class="ff4 fs1 ls121 v5">r</span><span class="ls3f wsa6">C C<span class="ff4 fs1 v5">r</span></span></div><div class="t m0 x6 h2 yb8 ff1 fs0 fc0 sc0 ls3f">f</div><div class="t m0 x66 h2 yb9 ff1 fs0 fc0 sc0 ls3f">f</div><div class="t m0 x6d h2 yba ff1 fs0 fc0 sc0 ls3f wsa7">C<span class="_48 blank"> </span>f C<span class="ff4 fs1 v5">r</span></div><div class="t m0 x6e h2 ybb ff1 fs0 fc0 sc0 ls11e">C<span class="ff4 fs1 ls3f v5">r</span></div><div class="t m0 x1 h2 ybc ff1 fs0 fc0 sc0 ls58">z<span class="ff2 ls1">=</span><span class="ls3f ws14">z<span class="ff4 fs1 ls122 v5">o</span><span class="ff2 ls3">+</span><span class="ls5a">r</span><span class="ff2 ws4">exp(</span>\u0131t<span class="ff2 ws75">)<span class="_3 blank"> </span>0 <span class="ff5 lsfd">\u2264</span></span><span class="ls123">t<span class="ff5 lsfd">\u2264</span></span><span class="ff2 ws4">2</span>\u03c0</span></div><div class="t m0 x2 h2c ybd ff8 fs0 fc0 sc0 ls124">Z<span class="ff4 fs1 ls3f ws33 v11">\u0131/<span class="ff3">2</span></span></div><div class="t m0 xa h6 ybe ff4 fs1 fc0 sc0 ls3f">\u0131</div><div class="t m0 x6f h1c ybf ff2 fs0 fc0 sc0 ls3f ws4">exp(<span class="ff1 ws1b">\u03c0 z </span>)<span class="ff1 wsa8">dz <span class="ff8 ls124 v3">Z</span><span class="ff4 fs1 ls125 v7">\u03c0<span class="ff3 ls3f ws32">+2<span class="ff4">\u0131</span></span></span></span></div><div class="t m0 x48 h1d ybe ff3 fs1 fc0 sc0 ls3f">0</div><div class="t m0 x70 h2d ybf ff2 fs0 fc0 sc0 ls3f ws4">cos(<span class="ff1 wsa9">z /</span>2)<span class="ff1 wsaa">dz <span class="ff8 ls124 v3">Z</span><span class="ff3 fs1 v7">3</span></span></div><div class="t m0 x71 h1d ybe ff3 fs1 fc0 sc0 ls3f">1</div><div class="t m0 x72 ha ybf ff2 fs0 fc0 sc0 lsc">(<span class="ff1 ls110">z<span class="ff5 ls9">\u2212</span></span><span class="ls3f ws4">2)<span class="ff3 fs1 ls22 v1">3</span><span class="ff1">dz</span></span></div></div><div class="pi" data-data='{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}'></div></div> <div id="pf8" class="pf w0 h0" data-page-no="8"><div class="pc pc8 w0 h0"><img fetchpriority="low" loading="lazy" class="bi x42 y0 w4 h10" alt="" src="https://files.passeidireto.com/75f39020-13a1-4faa-baa1-81480f05f8c9/bg8.png"><div class="t m0 x73 h2c yc0 ff8 fs0 fc0 sc0 ls124">Z<span class="ff3 fs1 ls3f ws32 v11">2<span class="ff4">\u0131</span></span></div><div class="t m0 x7 h6 yc1 ff6 fs1 fc0 sc0 ls93">\u2212<span class="ff3 ls3f ws32">2<span class="ff4">\u0131</span></span></div><div class="t m0 x4e h2 yc2 ff1 fs0 fc0 sc0 ls3f">dz</div><div class="t m0 x74 h2 yc3 ff1 fs0 fc0 sc0 ls3f">z</div><div class="t m0 x75 h2 yc4 ff1 fs0 fc0 sc0 ls126">z<span class="ff2 ls127">=<span class="ff5 ls3f ws19">\u2212</span><span class="ls3f ws4">2</span></span><span class="ls3f wsab">\u0131<span class="_49 blank"> </span>z <span class="ff2 wsac">= 2</span>\u0131</span></div><div class="t m0 x76 h2 yc5 ff2 fs0 fc0 sc0 ls3f ws7d">Log(<span class="ff1 ls11">z</span>)</div><div class="t m0 xc h2 yc6 ff2 fs0 fc0 sc0 ls3f ws4">1<span class="ff1 wsad">/z<span class="_4a blank"> </span>x <span class="ff5 ls128">\u2265</span></span>0</div><div class="t m0 xf h2 yc7 ff1 fs0 fc0 sc0 ls54">x<span class="ff5 lsfd">\u2265<span class="ff2 ls3f">0</span></span></div><div class="t m0 x77 h2 yc8 ff2 fs0 fc0 sc0 ls3f ws7d">Log(<span class="ff1 lsf">z</span>)</div><div class="t m0 x63 h2 yc9 ff1 fs0 fc0 sc0 lsac">L<span class="ff2 ls3f ws4">(</span><span class="ls11">z<span class="ff2 ls3f ws27">) = ln(</span><span class="ls5d">r<span class="ff2 ls3f wsae">) + <span class="ff1">\u0131\u03b8</span></span></span></span></div><div class="t m0 x11 h2 yca ff1 fs0 fc0 sc0 ls129">z<span class="ff2 ls12a">=</span><span class="ls5a">r<span class="ff2 ls3f ws4">exp(</span><span class="ls3f ws48">\u0131\u03b8 <span class="ff2 wsaf">)<span class="_4b blank"> </span>0 </span><span class="wsb0">< \u03b8<span class="_4 blank"> </span>< <span class="ff2 ws4">2</span><span class="wsb1">\u03c0 C</span></span></span></span></div><div class="t m0 x78 h2 ycb ff1 fs0 fc0 sc0 ls12b">\u03b8<span class="ff2 ls12c">=</span><span class="ls3f ws14">\u03b8<span class="ff4 fs1 ls12d v5">o</span><span class="ls12e">z</span><span class="ff2 wsb2">= 0</span></span></div><div class="t m0 x79 h2 ycc ff1 fs0 fc0 sc0 ls3f ws14">L<span class="ff2 lsc">(</span><span class="lsf">z</span><span class="ff2 ws2">) = ln(</span><span class="ls9e">r</span><span class="ff2 wsb3">) + </span>\u0131\u03b8</div><div class="t m0 x11 h2 ycd ff1 fs0 fc0 sc0 ls12f">z<span class="ff2 ls130">=</span><span class="ls5a">r<span class="ff2 ls3f ws4">exp(</span><span class="ls3f ws48">\u0131\u03b8 <span class="ff2 ls131">)</span><span class="ws14">\u03b8<span class="ff4 fs1 ls132 v5">o</span><span class="wsb4">< \u03b8<span class="_5 blank"> </span>< \u03b8<span class="ff4 fs1 ls133 v5">o</span><span class="ff2 wsb5">+ 2</span><span class="wsb6">\u03c0 L</span></span></span></span></span></div><div class="t m0 x69 h2 yce ff1 fs0 fc0 sc0 ls134">C<span class="ff5 ls3f ws19">|</span><span class="ls11">z<span class="ff5 ls112">|<span class="ff2 ls3f ws2">= 3</span></span></span></div><div class="t m0 x5b h2e ycf ff1 fs0 fc0 sc0 ls135">g<span class="ff2 lsc">(</span><span class="ls3f ws14">z<span class="ff3 fs1 ls4 v5">0</span><span class="ff2 ws9">) = <span class="ff8 ws9a v3">Z</span><span class="ff4 fs1 v12">C</span></span></span></div><div class="t m0 x7a h2f yd0 ff2 fs0 fc0 sc0 ls3f ws4">2<span class="ff1 ls11">z<span class="ff3 fs1 ls21 v8">2</span><span class="ff5 ls9">\u2212</span><span class="ls110">z<span class="ff5 ls9">\u2212</span></span></span>2</div><div class="t m0 x7b h2 yd1 ff1 fs0 fc0 sc0 ls136">z<span class="ff5 ls9">\u2212</span><span class="ls3f ws14">z<span class="ff3 fs1 v5">0</span></span></div><div class="t m0 x3f h2 ycf ff1 fs0 fc0 sc0 ls3f ws22">dz <span class="ff2 wsb7">; (<span class="ff5 ws19">|</span></span><span class="ws14">z<span class="ff3 fs1 ls4 v5">0</span><span class="ff5 wsa2">| 6<span class="ff2 ws2">= 3)</span></span>,</span></div><div class="t m0 x7c h2 yd2 ff1 fs0 fc0 sc0 ls135">g<span class="ff2 ls3f ws27">(2) = 8</span><span class="ls3f wsb8">\u03c0 \u0131<span class="_27 blank"> </span>g <span class="ff2 lsc">(</span><span class="ws14">z<span class="ff3 fs1 ls4 v5">0</span><span class="ff2 ls137">)</span><span class="ff5 ws19">|</span>z<span class="ff3 fs1 ls22 v5">0</span><span class="ff5 ls10f">|</span><span class="ls1">></span><span class="ff2">3</span></span></span></div><div class="t m0 x6d h2 yd3 ff5 fs0 fc0 sc0 ls3f ws19">|<span class="ff1 ws14">z<span class="ff4 fs1 ls6b v5">o</span></span><span class="ls138">|<span class="ff1 ls139"><<span class="ff2 ls13a">3</span></span></span>|<span class="ff1 ws14">z<span class="ff4 fs1 ls6b v5">o</span></span><span class="ls138">|<span class="ff1 ls139">></span></span><span class="ff2">3</span></div><div class="t m0 x69 h2 yd4 ff1 fs0 fc0 sc0 ls3f">C</div><div class="t m0 x19 h30 yd5 ff1 fs0 fc0 sc0 ls135">g<span class="ff2 lsc">(</span><span class="ls3f ws14">z<span class="ff3 fs1 ls4 v5">0</span><span class="ff2 wse">) = <span class="ff8 ws9a v3">Z</span><span class="ff4 fs1 v12">C</span></span></span></div><div class="t m0 x6a h2f yd6 ff1 fs0 fc0 sc0 lsf">z<span class="ff3 fs1 ls21 v8">3</span><span class="ff2 ls3f wsb">+ 2<span class="ff1">z</span></span></div><div class="t m0 x41 h14 yd7 ff2 fs0 fc0 sc0 lsc">(<span class="ff1 ls110">z<span class="ff5 ls9">\u2212</span><span class="ls3f ws14">z<span class="ff3 fs1 ls4 v5">0</span></span></span>)<span class="ff3 fs1 lscd v9">3</span><span class="ff1 ls3f wsa9 v2">dz ,</span></div><div class="t m0 x7d h2 yd8 ff1 fs0 fc0 sc0 ls135">g<span class="ff2 lsc">(</span><span class="ls3f ws14">z<span class="ff3 fs1 ls22 v5">0</span><span class="ff2 ws27">) = 6</span><span class="ws1b">\u03c0 \u0131z<span class="ff3 fs1 ls13b v5">0</span></span>z<span class="ff3 fs1 ls13c v5">0</span><span class="wsb8">C<span class="_4c blank"> </span>g <span class="ff2 ws4">(</span></span>z<span class="ff3 fs1 ls4 v5">0</span><span class="ff2 ws2">) =</span></span></div><div class="t m0 x1 h2 yd9 ff2 fs0 fc0 sc0 ls13d">0<span class="ff1 ls3f ws14">z<span class="ff3 fs1 ls13e v5">0</span>C</span></div><div class="t m0 x11 h2 yda ff1 fs0 fc0 sc0 ls3f wsb9">C<span class="_4d blank"> </span>x <span class="ff2 ls1e">=</span><span class="ff5 ws19">±<span class="ff2">2</span></span></div><div class="t m0 x7e h2 ydb ff1 fs0 fc0 sc0 ls13f">y<span class="ff2 ls140">=<span class="ff5 ls33">±</span><span class="ls3f">2</span></span></div></div><div class="pi" data-data='{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}'></div></div> <div id="pf9" class="pf w0 h0" data-page-no="9"><div class="pc pc9 w0 h0"><img fetchpriority="low" loading="lazy" class="bi x42 y0 w4 h31" alt="" src="https://files.passeidireto.com/75f39020-13a1-4faa-baa1-81480f05f8c9/bg9.png"><div class="t m0 x7f h30 ydc ff2 fs0 fc0 sc0 ls3f wsba">a) <span class="ff8 ws9a v3">Z</span><span class="ff4 fs1 v12">C</span></div><div class="t m0 x10 h2 ydd ff2 fs0 fc0 sc0 ls3f ws4">exp(<span class="ff5 ws19">\u2212<span class="ff1 ls11">z</span></span>)</div><div class="t m0 x6f h2b yde ff2 fs0 fc0 sc0 ls3f ws4">2<span class="ff1 ls110">z<span class="ff5 ls9">\u2212</span><span class="ls3f ws1b">\u03c0 \u0131<span class="_4 blank"> </span><span class="wsbb v2">dz </span></span></span><span class="wsbc v2">b) </span><span class="ff8 ws9a v10">Z</span><span class="ff4 fs1 v13">C</span></div><div class="t m0 x80 h2 ydd ff2 fs0 fc0 sc0 ls3f ws4">cos(<span class="ff1 lsf">z</span>)</div><div class="t m0 x3e h2b yde ff1 fs0 fc0 sc0 lsf">z<span class="ff2 lsc">(</span>z<span class="ff3 fs1 ls21 v9">2</span><span class="ff2 ls3f wsbd">+<span class="_39 blank"> </span>8) </span><span class="ls3f wsbe v2">dz <span class="ff2 wsbf">c) <span class="ff8 ws9a v3">Z</span><span class="ff4 fs1 v12">C</span></span></span></div><div class="t m0 x81 h2 ydd ff1 fs0 fc0 sc0 ls3f">z</div><div class="t m0 x5f h14 yde ff2 fs0 fc0 sc0 ls3f ws4">2<span class="ff1 ls136">z</span><span class="wsc0">+<span class="_39 blank"> </span>1 <span class="ff1 v2">dz</span></span></div><div class="t m0 x7f h2e ydf ff2 fs0 fc0 sc0 ls3f wsbc">d) <span class="ff8 ws9a v3">Z</span><span class="ff4 fs1 v12">C</span></div><div class="t m0 x2c h2 ye0 ff2 fs0 fc0 sc0 ls3f ws7d">tg(<span class="ff1 wsa9">z /</span>2)</div><div class="t m0 x10 h2b ye1 ff2 fs0 fc0 sc0 lsc">(<span class="ff1 ls110">z<span class="ff5 ls9">\u2212</span><span class="ls1b">x<span class="ff3 fs1 ls22 v5">0</span></span></span><span class="ls3f ws4">)<span class="ff3 fs1 lsc4 v9">2</span><span class="ff1 wsc1 v2">dz ,<span class="_3f blank"> </span></span></span><span class="v2">(<span class="ff5 ls3f ws19">|<span class="ff1 ls1b">x<span class="ff3 fs1 ls4 v5">0</span></span><span class="ls10f">|<span class="ff1 ls1"><</span></span><span class="ff2 wsc2">2)<span class="_4e blank"> </span>e) <span class="ff8 ws9a v3">Z</span><span class="ff4 fs1 v12">C</span></span></span></span></div><div class="t m0 x3e h2 ye0 ff2 fs0 fc0 sc0 ls3f ws4">cosh(<span class="ff1 lsf">z</span>)</div><div class="t m0 x82 h8 ye1 ff1 fs0 fc0 sc0 ls11">z<span class="ff3 fs1 ls141 v9">4</span><span class="ls3f wsa9 v2">dz .</span></div><div class="t m0 x3a ha ye2 ff1 fs0 fc0 sc0 ls3f ws1b">\u03c0<span class="_4f blank"> </span>\u03c0 \u0131/<span class="ff2 ls142">4</span><span class="ff5 ws19">\u2212</span>\u03c0 \u0131/<span class="ff2 ls143">2</span><span class="ls144">\u03c0</span><span class="ff2 ws4">sec<span class="ff3 fs1 ls22 v1">2</span>(</span><span class="ls1b">x<span class="ff3 fs1 ls4 v5">0</span></span><span class="ws14">/<span class="ff2 ws4">2)</span><span class="ls145">\u0131</span><span class="ff2">0</span></span></div><div class="t m0 x11 h2 ye3 ff1 fs0 fc0 sc0 ls146">C<span class="ff2 ls3f wsc3">2<span class="_50 blank"> </span>1 <span class="ff5 ls147">\u2212</span><span class="ws4">2<span class="ff1">\u0131</span></span></span></div><div class="t m0 x83 h2 ye4 ff1 fs0 fc0 sc0 ls3f">k</div><div class="t m0 x19 h2e ye5 ff1 fs0 fc0 sc0 ls3f ws14">I<span class="ff4 fs1 ls148 v5">k</span><span class="ff2 ls1">=</span><span class="ff8 ws9a v3">Z</span><span class="ff4 fs1 v12">C</span></div><div class="t m0 x73 h9 ye5 ff2 fs0 fc0 sc0 ls3f ws4">(<span class="ff1 ls136">z<span class="ff5 ls9">\u2212</span></span><span class="ls23 ws13">1+2<span class="_9 blank"></span><span class="ff1 ls3f ws14">\u0131<span class="ff2 ws4">)<span class="ff4 fs1 ls149 v1">k</span></span>dz</span></span></div><div class="t m0 x84 h2 ye6 ff1 fs0 fc0 sc0 ls3f">C</div><div class="t m0 x55 h2 ye7 ff2 fs0 fc0 sc0 ls3f ws4">senh(<span class="ff1 lsf">z</span><span class="ls14a">)<span class="ff1 ls4d">z</span><span class="ls1">=</span></span><span class="ff1 ws1b">\u03c0 \u0131</span></div><div class="t m0 x1 h2 ye8 ff2 fs0 fc0 sc0 ls3f ws4">tgh(<span class="ff1 ls11">z</span><span class="ls14b">)<span class="ff1 ls4d">z</span></span><span class="ws2">= 0</span></div><div class="t m0 x1 h2 ye9 ff1 fs0 fc0 sc0 ls3f wsc4">f z<span class="ff4 fs1 ls14c v5">o</span><span class="ws14">z<span class="ff4 fs1 ls14d v5">o</span>f</span></div><div class="t m0 x78 h2 yea ff2 fs0 fc0 sc0 ls3f ws4">tgh(<span class="ff1 ls11">z</span><span class="ls14e">)<span class="ff1 ls14f">z</span></span><span class="ws7a">= 0<span class="_51 blank"> </span><span class="ff1 ls14f">z</span><span class="ls150">=</span><span class="ff5 ws19">±<span class="ff1 ws1b">\u03c0 \u0131/</span></span>2</span></div><div class="t m0 x85 h2 yeb ff1 fs0 fc0 sc0 ls3f ws1b">\u03c0 /<span class="ff2 wsc5">2 tgh(</span><span class="ls11">z</span><span class="ff2">)</span></div><div class="t m0 x1 h2 yec ff5 fs0 fc0 sc0 ls3f ws19">|<span class="ff1 ls11">z</span><span class="ls151">|</span><span class="ff1 ws1b"><<span class="_1f blank"> </span>\u03c0 /<span class="ff2 ls152">2</span><span class="ls153">z</span><span class="ff2 wsc6">= 0</span></span></div><div class="t m0 x86 h32 yed ff2 fs0 fc0 sc0 ls3f ws4">tgh(<span class="ff1 lsf">z</span><span class="wsb">)<span class="_7 blank"> </span>=<span class="_15 blank"> </span>tgh(0) +<span class="_42 blank"> </span>tgh<span class="ff6 fs1 lse v1">0</span></span>(0)<span class="ff1 ls110">z</span><span class="ls154">+</span><span class="v2">tgh</span><span class="ff6 fs1 ws5 v7">00 </span><span class="v2">(0)</span></div><div class="t m0 x3f h33 yee ff2 fs0 fc0 sc0 ls3f wsc7">2! <span class="ff1 ls11 v2">z</span><span class="ff3 fs1 ls21 v7">2</span><span class="ls3 v2">+</span><span class="ff5 wsc8 v2">· · ·<span class="_23 blank"> </span></span><span class="ws4 v2">(<span class="ff5 ws19">|<span class="ff1 lsf">z</span><span class="ls10f">|</span><span class="ff1 ws1b"><<span class="_7 blank"> </span>\u03c0 /<span class="ff2">2)</span></span></span></span></div><div class="t m0 x4e h2 yef ff2 fs0 fc0 sc0 ls3f wsc9">tgh <span class="ff1 ls4d">z</span><span class="ws2">= 0</span></div><div class="t m0 x6c h2 yf0 ff2 fs0 fc0 sc0 lsbd">0<span class="ff1 ls1"><<span class="ff5 ls3f ws19">|</span><span class="ls11">z<span class="ff5 ls10f">|</span></span><</span><span class="ls3f">4</span></div><div class="t m0 x48 h2 yf1 ff2 fs0 fc0 sc0 ls3f">1</div><div class="t m0 x19 h14 yf2 ff2 fs0 fc0 sc0 ls3f ws4">4<span class="ff1 ls110">z<span class="ff5 ls9">\u2212</span><span class="ls11">z<span class="ff3 fs1 ls155 v9">2</span></span></span><span class="v2">=</span></div><div class="t m0 x41 h34 yf3 ff6 fs1 fc0 sc0 ls3f">\u221e</div><div class="t m0 x83 h29 yf4 ff8 fs0 fc0 sc0 ls3f">X</div><div class="t m0 x67 h6 yf5 ff4 fs1 fc0 sc0 ls3f ws33">n<span class="ff3">=0</span></div><div class="t m0 x8 h2 yf1 ff2 fs0 fc0 sc0 ls3f">1</div><div class="t m0 x34 h35 yf2 ff2 fs0 fc0 sc0 ls3f ws4">4<span class="ff4 fs1 ws33 v9">n<span class="ff3 wsca">+1 </span></span><span class="ff1 ls11 v2">z</span><span class="ff4 fs1 ws33 v7">n<span class="ff6 ls93">\u2212<span class="ff3 ls3f">1</span></span></span></div></div><div class="pi" data-data='{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}'></div></div> <div id="pfa" class="pf w0 h0" data-page-no="a"><div class="pc pca w0 h0"><img fetchpriority="low" loading="lazy" class="bi x42 y0 w4 h10" alt="" src="https://files.passeidireto.com/75f39020-13a1-4faa-baa1-81480f05f8c9/bga.png"><div class="t m0 x58 h2 yf6 ff2 fs0 fc0 sc0 ls3f">1</div><div class="t m0 x1f h15 yf7 ff2 fs0 fc0 sc0 ls3f ws4">4<span class="ff1 ls110">z<span class="ff5 ls9">\u2212</span><span class="ls11">z<span class="ff3 fs1 ls155 v9">2</span></span></span><span class="ls156 v2">=</span><span class="v3">1</span></div><div class="t m0 x6a hf yf8 ff2 fs0 fc0 sc0 ls3f ws4">4<span class="ff1 lsf">z</span><span class="ws61">(1 <span class="ff5 lsf6">\u2212</span><span class="ff1 v2">z</span></span></div><div class="t m0 xe h14 yf9 ff2 fs0 fc0 sc0 ls157">4<span class="ls3f v2">)</span></div><div class="t m0 x4a h2 yfa ff2 fs0 fc0 sc0 ls3f">1</div><div class="t m0 x39 h8 yfb ff2 fs0 fc0 sc0 lse1">1<span class="ff5 ls9">\u2212<span class="ff1 ls158">z</span></span><span class="ls3f v2">=</span></div><div class="t m0 x87 h34 yfc ff6 fs1 fc0 sc0 ls3f">\u221e</div><div class="t m0 x67 h29 yfd ff8 fs0 fc0 sc0 ls3f">X</div><div class="t m0 x88 h6 yfe ff4 fs1 fc0 sc0 ls159">k<span class="ff3 ls3f">=0</span></div><div class="t m0 x89 h9 yff ff1 fs0 fc0 sc0 ls11">z<span class="ff4 fs1 ls15a v1">k</span><span class="ff5 ls3f ws19">|</span><span class="lsf">z<span class="ff5 ls15b">|</span><span class="ls15c"><<span class="ff2 ls3f">1</span></span></span></div><div class="t m0 x1 h2 y100 ff2 fs0 fc0 sc0 lsbd">0<span class="ff1 ls1"><<span class="ff5 ls3f ws19">|</span><span class="ls11">z<span class="ff5 ls10f">|</span></span><</span><span class="ls15d">4<span class="ff5 ls3f ws19">|<span class="ff1 wsa9">z /</span></span><span class="ls3f ws4">4<span class="ff5 ls10f">|<span class="ff1 ls1"><</span></span>1</span></span></div><div class="t m0 x8a hf y101 ff1 fs0 fc0 sc0 lsd">f<span class="ff2 ls3f ws4">(</span><span class="ls11">z<span class="ff2 ls3f ws2">) =<span class="_2 blank"> </span><span class="ff1 v2">z</span></span></span></div><div class="t m0 x70 h2 y102 ff2 fs0 fc0 sc0 ls3f ws4">(<span class="ff1 ls136">z<span class="ff5 ls9">\u2212</span></span>1)(<span class="ff1 ls110">z<span class="ff5 ls9">\u2212</span></span>3)</div><div class="t m0 x5f h2 y103 ff1 fs0 fc0 sc0 ls15e">z<span class="ff5 ls15f">\u2212<span class="ff2 ls3f">1</span></span></div><div class="t m0 x8b h2 y104 ff1 fs0 fc0 sc0 lsd">f<span class="ff2 lsc">(</span><span class="lsf">z<span class="ff2 ls3f ws75">)<span class="_52 blank"> </span>0 </span><span class="ls1"><<span class="ff5 ls3f ws19">|</span><span class="ls136">z<span class="ff5 ls9">\u2212<span class="ff2 ls3f ws4">1</span><span class="ls112">|</span></span><span class="ls1e"><<span class="ff2 ls3f">2</span></span></span></span></span></div><div class="t m0 x26 hf y105 ff1 fs0 fc0 sc0 lsd">f<span class="ff2 ls3f ws4">(</span><span class="ls11">z<span class="ff2 ls3f ws2">) =<span class="_53 blank"> </span><span class="ff5 ws19 v2">\u2212</span><span class="v2">1</span></span></span></div><div class="t m0 x1b h8 y106 ff2 fs0 fc0 sc0 ls3f ws4">2(<span class="ff1 ls136">z<span class="ff5 ls9">\u2212</span></span><span class="wscb">1) <span class="ff5 ls1c v2">\u2212</span><span class="v2">3</span></span></div><div class="t m0 x1a h34 y107 ff6 fs1 fc0 sc0 ls3f">\u221e</div><div class="t m0 x85 h29 y108 ff8 fs0 fc0 sc0 ls3f">X</div><div class="t m0 x85 h6 y109 ff4 fs1 fc0 sc0 ls3f ws33">n<span class="ff3">=1</span></div><div class="t m0 x87 h2 y10a ff2 fs0 fc0 sc0 ls3f">1</div><div class="t m0 x83 h35 y106 ff2 fs0 fc0 sc0 ls3f ws4">2<span class="ff4 fs1 ws33 v9">n<span class="ff3 wsca">+1 </span></span><span class="lsc v2">(<span class="ff1 ls110">z<span class="ff5 ls9">\u2212</span></span></span><span class="v2">1)</span><span class="ff4 fs1 ls160 v7">n<span class="ff6 ls3f ws6">\u2212<span class="ff3">1</span></span></span></div><div class="t m0 x1 hf y10b ff1 fs0 fc0 sc0 ls12">f<span class="ff2 ls3f ws4">(</span><span class="ls11">z<span class="ff2 ls3f ws2">) =<span class="_2 blank"> </span><span class="ff1 v2">z</span></span></span></div><div class="t m0 x10 h15 y10c ff2 fs0 fc0 sc0 ls3f ws4">(<span class="ff1 ls110">z<span class="ff5 ls9">\u2212</span></span>1)(<span class="ff1 ls110">z<span class="ff5 ls1c">\u2212</span></span><span class="wscc">3) <span class="ls161 v2">=</span><span class="ff1 ls110 v3">z<span class="ff5 ls9">\u2212<span class="ff2 ls23 ws13">1+1<span class="_9 blank"></span></span></span></span></span></div><div class="t m0 x1f h15 y10c ff2 fs0 fc0 sc0 lsc">(<span class="ff1 ls110">z<span class="ff5 ls9">\u2212</span></span><span class="ls3f ws4">1)(<span class="ff1 ls110">z<span class="ff5 ls9">\u2212</span></span></span><span class="ls23 ws13">1+1<span class="ff5 ls9">\u2212</span></span><span class="ls3f wscd">3) <span class="ls162 v2">=</span><span class="ws4 v3">(<span class="ff1 ls110">z<span class="ff5 ls1c">\u2212</span></span><span class="wsb">1) + 1</span></span></span></div><div class="t m0 x8c h2 y10c ff2 fs0 fc0 sc0 lsc">(<span class="ff1 ls110">z<span class="ff5 ls9">\u2212</span></span><span class="ls3f ws4">1)((<span class="ff1 ls110">z<span class="ff5 ls1c">\u2212</span></span><span class="ws61">1) <span class="ff5 ls9">\u2212</span>2)</span></span></div><div class="t m0 x11 h36 y10d ff2 fs0 fc0 sc0 ls1">=<span class="ff8 ls163 v14">\ue012</span><span class="ls3f wsb">1 +<span class="_3f blank"> </span><span class="v2">1</span></span></div><div class="t m0 x33 h37 y10e ff1 fs0 fc0 sc0 ls110">z<span class="ff5 ls1c">\u2212<span class="ff2 ls164">1<span class="ff8 ls165 v15">\ue013</span></span><span class="ls33 v3">\u2212<span class="ff2 ls3f ws4">1<span class="ff1 ws14">/</span>2</span></span></span></div><div class="t m0 x32 hf y10f ff2 fs0 fc0 sc0 lse1">1<span class="ff5 lsf6">\u2212<span class="ff1 ls110 v2">z</span><span class="ls9 v2">\u2212</span></span><span class="ls3f v2">1</span></div><div class="t m0 x4a h2 y110 ff2 fs0 fc0 sc0 ls3f">2</div><div class="t m0 x29 h2 y111 ff1 fs0 fc0 sc0 lsd">f<span class="ff2 lsc">(</span><span class="lsf">z<span class="ff2 ls3f wsce">) = (exp(</span><span class="ls3f wscf">cz <span class="ff2 ls166">)<span class="ff5 ls167">\u2212</span><span class="ls3f ws4">1)</span></span><span class="wsd0">/z<span class="_54 blank"> </span>z <span class="ff5 ws19">6<span class="ff2 wsce">= 0<span class="_4b blank"> </span></span></span></span></span></span>f<span class="ff2 ls3f wsce">(0) = </span><span class="ls3f wsd1">c f</span></div><div class="t m0 x25 h2 y112 ff2 fs0 fc0 sc0 ls3f ws4">exp(<span class="ff1 wscf">cz </span><span class="ls168">)<span class="ff1 lsd">f</span><span class="lsc">(<span class="ff1 lsf">z</span></span></span>)</div><div class="t m0 x8d h2 y113 ff1 fs0 fc0 sc0 ls4d">z<span class="ff5 ls3f ws19">6<span class="ff2 ws2">= 0</span></span></div><div class="t m0 x2c h2 y114 ff1 fs0 fc0 sc0 ls4d">z<span class="ff2 ls3f ws2">= 0<span class="_4b blank"> </span><span class="ff1">c</span></span></div><div class="t m0 x8e h16 y115 ff2 fs0 fc0 sc0 ls3f ws4">exp(<span class="ff1 ls11">z</span><span class="wsd2">)<span class="_7 blank"> </span>=<span class="_7 blank"> </span>1 + <span class="ff1 ls136">z</span><span class="lsc8">+<span class="ff1 ls11 v2">z</span></span><span class="ff3 fs1 vb">2</span></span></div><div class="t m0 x83 h8 y116 ff2 fs0 fc0 sc0 ls3f wsd3">2! <span class="ls3 v2">+</span><span class="ff5 wsc8 v2">· · ·<span class="_23 blank"> </span></span><span class="ws4 v2">(<span class="ff1 ls4d">z<span class="ff5 ls169">\u2208<span class="ff7 ls16a">C</span></span></span>)</span></div><div class="t m0 x6b h18 y117 ff2 fs0 fc0 sc0 ls3f ws4">exp(<span class="ff1 wscf">cz </span><span class="wsd2">)<span class="_7 blank"> </span>=<span class="_7 blank"> </span>1 + <span class="ff1 wsd4">cz </span><span class="lscf">+<span class="ff1 ls16b v2">c</span></span><span class="ff3 fs1 vb">2</span></span></div><div class="t m0 x83 h33 y118 ff2 fs0 fc0 sc0 ls3f wsd5">2! <span class="ff1 ls11 v2">z</span><span class="ff3 fs1 ls21 v7">2</span><span class="ls3 v2">+</span><span class="ff5 wsc8 v2">· · ·<span class="_23 blank"> </span></span><span class="ws4 v2">(<span class="ff1 ls4d">z<span class="ff5 ls169">\u2208<span class="ff7 ls16a">C</span></span></span>)</span></div></div><div class="pi" data-data='{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}'></div></div>
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