<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/0e8cd7a3-c41b-415b-8b39-656205476a30/bg1.png"><div class="t m0 x1 h2 y1 ff1 fs0 fc0 sc0 ls81 ws0">1<span class="ff2 fs1 v1">a</span></div><div class="t m0 x2 h2 y2 ff3 fs0 fc0 sc0 ls81 ws1">z<span class="_0 blank"> </span>f <span class="ff4 fs1 ls0 v1">0</span><span class="ff1 ws0">(</span><span class="ls1">z</span><span class="ff1">)</span></div><div class="t m0 x3 h3 y3 ff3 fs0 fc0 sc0 ls81">f</div><div class="t m0 x4 h4 y4 ff1 fs0 fc0 sc0 ls81 ws2">a) <span class="ff5 fs1 v2">1</span></div><div class="t m0 x5 h5 y5 ff5 fs1 fc0 sc0 ls2">2<span class="ff3 fs0 ls3 v1">f<span class="ff1 ls81 ws0">(<span class="ff3 ls1">z</span><span class="ws3">) = <span class="ff3 ls4">z</span><span class="ws4">+ 3<span class="ff3 ws5">\u0131z </span><span class="ws6">b) <span class="ff3 ls5">f</span></span></span></span>(<span class="ff3 ls1">z</span><span class="ws7">) = (<span class="ff3 ls6">z</span></span></span></span><span class="ls7 v3">5</span><span class="ff1 fs0 ls8 v1">+<span class="ff3 ls81 ws8">\u0131z <span class="ff1 ws9">+<span class="_1 blank"> </span>2) e</span></span></span><span class="ff4 ls81 wsa v3">\u2212</span><span class="ls81 wsb v3">5<span class="ff2 ls9">x</span><span class="wsc">+3 <span class="ff6 fs0 lsa v4">{<span class="ff1 ls81 ws0">cos(5<span class="ff3 lsb">y</span><span class="lsc">)<span class="ff6 lsd">\u2212<span class="ff3 lse">\u0131</span></span></span>sen(5<span class="ff3 lsb">y</span>)<span class="ff6">}</span></span></span></span></span></div><div class="t m0 x6 h6 y6 ff1 fs0 fc0 sc0 ls81 wsd">c) <span class="ff3 ls3">f</span><span class="ws0">(<span class="ff3 ls1">z</span><span class="ws3">) = <span class="ff3 lsf">x<span class="ff5 fs1 ls7 v2">3</span></span><span class="ls10">+</span><span class="ff3 wse">\u0131y <span class="ff5 fs1 ls11 v2">3</span></span><span class="ws6">d) <span class="ff3 ls5">f</span></span></span>(<span class="ff3 ls1">z</span><span class="wsf">) =<span class="_2 blank"> </span><span class="ff7 fs2 v2">3</span></span></span></div><div class="t m0 x7 h3 y7 ff6 fs0 fc0 sc0 ls81 ws10">\u221a<span class="ff3 ls12 v5">r</span><span class="lsa v5">{</span><span class="ff1 ws0 v5">cos(<span class="ff3 ws11">\u03b8 /<span class="ff1 ws4">3) + </span><span class="lse">\u0131</span></span>sen(<span class="ff3 ws11">\u03b8 /</span>3)<span class="ff6 ls13">}<span class="ff3 ls14">z</span></span><span class="ls15">=<span class="ff3 ls12">r</span></span>e<span class="ff2 fs1 ws12 v2">\u0131\u03b8 </span><span class="ff3 ws13">,<span class="_3 blank"> </span>r<span class="_4 blank"> </span>> </span><span class="ws14">0<span class="_5 blank"> </span>0 <span class="ff6 ls16">\u2264</span><span class="ff3 ws15">\u03b8<span class="_4 blank"> </span>< </span></span>2<span class="ff3 ws16">\u03c0 .</span></span></div><div class="t m0 x8 h3 y8 ff3 fs0 fc0 sc0 ls5">f<span class="ff1 ls81 ws0">(</span><span class="ls1">z<span class="ff1 ls81 ws17">) = </span><span class="ls17">x<span class="ff6 ls18">\u2212</span><span class="ls81 ws18">\u0131y <span class="ff1 ws19">+ 3</span><span class="ws1a">\u0131<span class="ff1 ws0">(</span></span></span>x<span class="ff1 ls19">+</span><span class="ls81 ws1b">\u0131y <span class="ff1 ws17">) = </span></span>x<span class="ff6 ls1a">\u2212<span class="ff1 ls81 ws0">3</span></span><span class="ls1b">y<span class="ff1 ls19">+</span><span class="ls81 ws1a">\u0131<span class="ff1 ws0">(<span class="ff6 ls1c">\u2212</span></span><span class="ls1d">y</span><span class="ff1 ws19">+ 3</span><span class="ls1e">x</span><span class="ff1 ws17">) = </span><span class="ls1f">u<span class="ff1 ls19">+</span></span><span class="ws1c">\u0131v u<span class="ff2 fs1 ls20 v6">x</span><span class="ff1 ws17">= 1</span></span></span></span></span></span></div><div class="t m0 x9 h3 y9 ff3 fs0 fc0 sc0 ls81 ws1a">v<span class="ff2 fs1 ls21 v6">y</span><span class="ff1 ls22">=</span><span class="ff6 ws10">\u2212<span class="ff1 ls23">1</span></span>f</div><div class="t m0 xa h3 ya ff3 fs0 fc0 sc0 ls81 ws1d">z f</div><div class="t m0 xb h6 yb ff1 fs0 fc0 sc0 ls81 ws0">e<span class="ff4 fs1 ls24 v2">\u2212<span class="ff5 ls81 wsb">5<span class="ff2 ls9">x</span><span class="wsc">+3 </span></span></span><span class="ff6 ws10">{</span>cos(5<span class="ff3 ls25">y</span><span class="lsc">)<span class="ff6 ls26">\u2212<span class="ff3 lse">\u0131</span></span></span>sen(5<span class="ff3 ls25">y</span><span class="ls27">)<span class="ff6 ls28">}</span></span><span class="ws1e">= e<span class="ff4 fs1 wsa v2">\u2212<span class="ff5 wsb">5<span class="ff2 ls9">x</span><span class="wsc">+3 </span></span></span><span class="ff6 lsa">{</span></span>cos(<span class="ff6 ls1c">\u2212</span>5<span class="ff3 ls25">y</span><span class="ws4">) + <span class="ff3 ls29">\u0131</span></span>sen(<span class="ff6 ws10">\u2212</span>5<span class="ff3 lsb">y</span>)<span class="ff6 ls28">}</span><span class="ws1e">= e<span class="ff4 fs1 ls24 v2">\u2212<span class="ff5 ls81 wsb">5<span class="ff2 ls9">x</span><span class="ws1f">+3 </span></span></span><span class="ls2a">e</span><span class="ff4 fs1 wsa v2">\u2212<span class="ff5 wsb">5<span class="ff2 ws20">y \u0131<span class="_4 blank"> </span></span></span></span>= e<span class="ff4 fs1 wsa v2">\u2212<span class="ff5 wsb">5(<span class="ff2 ws21">x</span><span class="ls24">+</span><span class="ff2 ws22">\u0131y </span><span class="ws23">)+3 </span></span></span>= e<span class="ff4 fs1 ls24 v2">\u2212<span class="ff5 ls81 wsb">5<span class="ff2 ls2b">z</span>+3</span></span></span></div><div class="t m0 xc h7 yc ff3 fs0 fc0 sc0 ls3">f<span class="ff1 ls81 ws0">(</span><span class="ls6">z<span class="ff1 ls2c ws24">)=(<span class="_6 blank"></span><span class="ff3 ls1">z<span class="ff5 fs1 ls2d v1">5</span><span class="ff1 ls2e">+</span><span class="ls81 ws25">\u0131z <span class="ff1 ws9">+<span class="_7 blank"> </span>2) e<span class="ff4 fs1 ls24 v1">\u2212<span class="ff5 ls81 wsb">5<span class="ff2 ls2f">z</span><span class="ws26">+3 </span></span></span><span class="ls2a">e<span class="ff4 fs1 ls24 v1">\u2212<span class="ff5 ls81 wsb">5<span class="ff2 ls2f">z</span>+3</span></span></span></span></span></span></span></span></div><div class="t m0 xd h3 yd ff3 fs0 fc0 sc0 ls81 ws1a">h<span class="ff1 ls27">(</span><span class="ls6">z</span><span class="ff1 ws27">) = <span class="ff6 ws10">\u2212</span><span class="ws0">5</span></span><span class="ls30">z</span><span class="ff1 ws28">+ 3<span class="_8 blank"> </span></span>f</div><div class="t m0 xe h3 ye ff3 fs0 fc0 sc0 ls81">f</div><div class="t m0 xf h6 yf ff3 fs0 fc0 sc0 ls5">f<span class="ff4 fs1 ls0 v2">0</span><span class="ff1 ls27">(</span><span class="ls6">z<span class="ff1 ls81 wsf">) = (5</span><span class="ls1">z<span class="ff5 fs1 ls7 v2">4</span><span class="ff1 ls10">+</span><span class="ls81 ws1a">\u0131<span class="ff1 ws9">) e<span class="ff4 fs1 wsa v2">\u2212<span class="ff5 wsb">5<span class="ff2 ls2f">z</span><span class="ws29">+3 </span></span></span><span class="ff6 ls26">\u2212</span><span class="ws0">5(</span></span></span>z<span class="ff5 fs1 ls7 v2">5</span><span class="ff1 ls10">+</span><span class="ls81 ws8">\u0131z <span class="ff1 ws9">+<span class="_1 blank"> </span>2) e<span class="ff4 fs1 wsa v2">\u2212<span class="ff5 ls31">5<span class="ff2 ls2b">z</span><span class="ls81 ws2a">+3 </span></span></span><span class="wsf">= (<span class="ff6 ws10">\u2212</span><span class="ws0">5</span></span></span></span>z<span class="ff5 fs1 ls7 v2">5</span><span class="ff1 ls81 ws4">+ 5</span>z<span class="ff5 fs1 ls7 v2">4</span><span class="ff6 lsd">\u2212<span class="ff1 ls81 ws0">5</span></span><span class="ls81 ws8">\u0131z <span class="ff1 ls10">+</span><span class="ls32">\u0131<span class="ff6 lsd">\u2212</span></span><span class="ff1 ws9">10) e<span class="ff4 fs1 wsa v2">\u2212<span class="ff5 wsb">5<span class="ff2 ls2f">z</span>+3</span></span></span></span></span></span></div><div class="t m0 x10 h7 y10 ff3 fs0 fc0 sc0 ls5">f<span class="ff1 ls27">(</span><span class="ls6">z<span class="ff1 ls81 wsf">) = </span><span class="lsf">x<span class="ff5 fs1 ls33 v1">3</span><span class="ff1 ls34">+</span><span class="ls81 wse">\u0131y <span class="ff5 fs1 ls35 v1">3</span><span class="ff1 ls36">=</span><span class="ls37">u<span class="ff1 ls34">+</span></span><span class="ws2b">\u0131v u<span class="ff2 fs1 ls38 v6">x</span><span class="ff1 wsf">= 3</span><span class="ls1e">x<span class="ff5 fs1 ls39 v1">2</span></span><span class="ws2c">, u<span class="ff2 fs1 ls3a v6">y</span><span class="ff1 wsf">= 0<span class="_9 blank"> </span></span><span class="ws1a">v<span class="ff2 fs1 ls3b v6">x</span><span class="ff1 wsf">= 0</span></span>, v<span class="ff2 fs1 ls3a v6">y</span><span class="ff1 wsf">= 3</span><span class="lsb">y</span><span class="ff5 fs1 v1">2</span></span></span></span></span></span></div><div class="t m0 x11 h2 y11 ff1 fs0 fc0 sc0 ls81 ws0">3<span class="ff3 ls1e">x<span class="ff5 fs1 ls3c v1">2</span></span><span class="ws2d">= 3<span class="ff3 ls25">y<span class="ff5 fs1 ls3d v1">2</span><span class="ls3e">x</span></span><span class="ls3f">=<span class="ff6 ls1c">±</span></span><span class="ff3 ws2e">y<span class="_a blank"> </span>u v</span></span></div><div class="t m0 x9 h2 y12 ff3 fs0 fc0 sc0 ls81 ws2f">f<span class="_b blank"> </span>z <span class="ff1 ls40">=</span><span class="ls41">x<span class="ff6 ls42">±</span></span><span class="ws30">\u0131x<span class="_c blank"> </span>x <span class="ff6 ls43">\u2208<span class="ff8 ls44">R</span></span><span class="ls5">f<span class="ff4 fs1 ls0 v1">0</span></span><span class="ff1 ws0">(</span><span class="ls1">z</span><span class="ff1 ws31">) = </span><span class="ls45">u<span class="ff2 fs1 ls46 v6">x</span><span class="ff1 ls47">+</span></span><span class="ws1a">\u0131v<span class="ff2 fs1 ls48 v6">x</span><span class="ff1 ws31">= 3</span><span class="ls1e">x</span><span class="ff5 fs1 v1">2</span></span></span></div><div class="t m0 x12 h3 y13 ff3 fs0 fc0 sc0 ls81 ws32">f z</div><div class="t m0 x13 h3 y14 ff3 fs0 fc0 sc0 ls49">z<span class="ff1 ls4a">=</span><span class="ls4b">x<span class="ff6 ls4c">±</span><span class="ls81 ws33">\u0131x f</span></span></div><div class="t m0 x14 h7 y15 ff3 fs0 fc0 sc0 ls81 ws34">f<span class="_d blank"> </span>x <span class="ff6 ls4d">\u2265<span class="ff1 ls4e">0</span></span><span class="ws1a">z<span class="ff5 fs1 ls4f v6">1</span><span class="ff1 ls50">=</span><span class="ls51">r<span class="ff5 fs1 ls52 v6">1</span><span class="ff1 ls2a">e<span class="ff2 fs1 ls53 v1">\u0131<span class="ff5 ls4f">0</span></span><span class="ls50">=</span></span></span>r<span class="ff5 fs1 ls54 v6">1</span>r<span class="ff5 fs1 ls4f v6">1</span><span class="ls50">></span><span class="ff1">0</span></span></div><div class="t m0 x15 h3 y16 ff3 fs0 fc0 sc0 ls55">x<span class="ff6 ls56">\u2265<span class="ff1 ls57">0</span></span><span class="ls5">f<span class="ff1 ls81 ws0">(</span><span class="ls81 ws1a">z<span class="ff5 fs1 ls58 v6">1</span><span class="ff1 ws35">) =<span class="_9 blank"> </span><span class="ff7 fs2 v7">3</span></span></span></span></div><div class="t m0 x16 h3 y17 ff6 fs0 fc0 sc0 ls59">\u221a<span class="ff3 ls81 ws1a v8">r</span><span class="ff5 fs1 ls5a v9">1</span><span class="ff3 ls81 ws1a v8">\u03b8</span><span class="ff5 fs1 ls5b v9">1</span><span class="ff1 ls81 ws35 v8">= 0<span class="_e blank"> </span><span class="ff3 ws36">f z<span class="ff5 fs1 v6">1</span></span></span></div><div class="t m0 x17 h3 y18 ff3 fs0 fc0 sc0 ls81 ws37">C<span class="_f blank"> </span>z <span class="ff1 wsf">= 0<span class="_10 blank"> </span></span><span class="ws1a">r<span class="ff5 fs1 ls5c v6">1</span>z<span class="ff5 fs1 v6">1</span></span></div><div class="t m0 x18 h3 y19 ff3 fs0 fc0 sc0 ls81 ws38">f<span class="_11 blank"> </span>f <span class="ff1 ls27">(</span><span class="ws1a">z<span class="ff5 fs1 ls39 v6">1</span><span class="ff1 ws39">) =<span class="_9 blank"> </span><span class="ff7 fs2 v7">3</span></span></span></div><div class="t m0 x19 h3 y1a ff6 fs0 fc0 sc0 ls81 ws10">\u221a<span class="ff3 ls51 v8">r</span><span class="ff5 fs1 v9">1</span></div><div class="t m0 x1a h2 y1b ff3 fs0 fc0 sc0 ls5d">\u03b8<span class="ff1 ls81 ws0">2</span><span class="ls81 ws38">\u03c0<span class="_12 blank"> </span>f <span class="ff1 ws0">(</span><span class="ls51">r<span class="ff5 fs1 ls5e v6">1</span></span><span class="ff1 ws0">e<span class="ff2 fs1 ws12 v1">\u0131\u03b8 </span>)</span></span></div><div class="t m0 x1b h8 y1c ff7 fs2 fc0 sc0 ls81">3</div><div class="t m0 x1c h3 y1d ff6 fs0 fc0 sc0 ls59">\u221a<span class="ff3 ls81 ws1a va">r</span><span class="ff5 fs1 ls39 vb">1</span><span class="ff1 ls81 ws0 va">(cos(2<span class="ff3 ws16">\u03c0 /<span class="ff1 ws4">3) + </span><span class="ls29">\u0131</span></span>sen(2<span class="ff3 ws16">\u03c0 /</span><span class="wsf">3)) =<span class="_2 blank"> </span><span class="ff7 fs2 vc">3</span></span></span></div><div class="t m0 x1d h3 y1d ff6 fs0 fc0 sc0 ls81 ws10">\u221a<span class="ff3 ls51 va">r</span><span class="ff5 fs1 ls39 vb">1</span><span class="ff1 ws0 va">(</span><span class="ls5f va">\u2212</span><span class="ff5 fs1 vd">1</span></div><div class="t m0 x1e h9 y1e ff5 fs1 fc0 sc0 ls60">2<span class="ff1 fs0 ls10 v1">+<span class="ff3 ls61">\u0131</span></span><span class="ff4 ls62 ve">\u221a</span><span class="ls81 v3">3</span></div><div class="t m0 x1f ha y1e ff5 fs1 fc0 sc0 ls63">2<span class="ff1 fs0 ls81 v1">)</span></div><div class="t m0 x20 h3 y1f ff3 fs0 fc0 sc0 ls5">f<span class="ff1 ls27">(</span><span class="ls81 ws1a">z<span class="ff5 fs1 ls39 v6">1</span><span class="ff1 ls64">)</span>z<span class="ff5 fs1 ls65 v6">1</span><span class="ls3">f</span><span class="ff1 ws0">(</span>z<span class="ff5 fs1 ls39 v6">1</span><span class="ff1">)</span></span></div><div class="t m0 x21 h3 y20 ff3 fs0 fc0 sc0 ls81 ws3a">f z<span class="ff5 fs1 ls66 v6">1</span>f</div><div class="t m0 x9 h4 y21 ff3 fs0 fc0 sc0 ls81 ws3b">r<span class="_13 blank"> </span>> <span class="ff1 ws3c">0<span class="_14 blank"> </span>0 </span><span class="ws3d">< \u03b8<span class="_13 blank"> </span>< <span class="ff1 ws0">2</span><span class="ws3e">\u03c0 u<span class="ff2 fs1 ls67 v6">r</span><span class="ff1 ls68">=</span><span class="ff5 fs1 v2">1</span></span></span></div><div class="t m0 x22 hb y22 ff2 fs1 fc0 sc0 ls69">r<span class="ff3 fs0 ls81 ws1a v1">v</span><span class="ls81 vf">\u03b8</span></div><div class="t m0 x9 h3 y23 ff3 fs0 fc0 sc0 ls81 ws1a">u<span class="ff2 fs1 ls6a v6">\u03b8</span><span class="ff1 ls4a">=<span class="ff6 ls1c">\u2212</span></span><span class="ws11">r v<span class="ff2 fs1 ls6b v6">r</span><span class="ls6c">u<span class="ff1 ls6d">=</span></span><span class="ff7 fs2 v10">3</span></span></div><div class="t m0 x23 h3 y24 ff6 fs0 fc0 sc0 ls59">\u221a<span class="ff3 ls12 v11">r<span class="ff1 ls81 ws0">cos(<span class="ff3 ws11">\u03b8 /</span><span class="ws3f">3) <span class="ff3 ls6e">v</span><span class="ls6d">=</span><span class="ff7 fs2 v10">3</span></span></span></span></div><div class="t m0 x16 h3 y24 ff6 fs0 fc0 sc0 ls59">\u221a<span class="ff3 ls6f v11">r<span class="ff1 ls81 ws0">sen(<span class="ff3 ws11">\u03b8 /</span>3)</span></span></div><div class="t m0 x3 hc y25 ff3 fs0 fc0 sc0 ls81 ws1a">u<span class="ff2 fs1 ls70 v6">r</span><span class="ff1 ls71">=<span class="ls81 v12">1</span></span></div><div class="t m0 x24 hd y26 ff1 fs0 fc0 sc0 ls72">3<span class="ff3 ls73 v12">r</span><span class="ff4 fs1 ls81 wsa v13">\u2212<span class="ff5 wsb">2<span class="ff2 ls31">/</span><span class="ls52">3</span></span></span><span class="ls81 ws0 v12">cos(<span class="ff3 ws11">\u03b8 /<span class="ff1 ws40">3); </span><span class="ws1a">u<span class="ff2 fs1 ls6a v6">\u03b8</span><span class="ff1 ls4a">=<span class="ff6 ls5f">\u2212</span><span class="ls81 v12">1</span></span></span></span></span></div><div class="t m0 x25 hd y26 ff1 fs0 fc0 sc0 ls74">3<span class="ff3 ls75 v12">r</span><span class="ff5 fs1 ls31 v13">1<span class="ff2 ls81 ws21">/<span class="ff5 ls5e">3</span></span></span><span class="ls81 ws0 v12">sen(<span class="ff3 ws11">\u03b8 /<span class="ff1 ws41">3); </span><span class="ls76">v<span class="ff2 fs1 ls77 v6">r</span><span class="ff1 ls71">=<span class="ls81 v12">1</span></span></span></span></span></div><div class="t m0 x26 hd y26 ff1 fs0 fc0 sc0 ls74">3<span class="ff3 ls75 v12">r</span><span class="ff4 fs1 ls24 v13">\u2212<span class="ff5 ls81 wsb">2<span class="ff2 ws21">/</span><span class="ls5e">3</span></span></span><span class="ls81 ws0 v12">sen(<span class="ff3 ws11">\u03b8 /<span class="ff1 ws40">3); </span><span class="ws1a">v<span class="ff2 fs1 ls78 v6">\u03b8</span><span class="ff1 ls71">=<span class="ls81 v12">1</span></span></span></span></span></div><div class="t m0 x27 he y26 ff1 fs0 fc0 sc0 ls74">3<span class="ff3 ls75 v12">r</span><span class="ff5 fs1 ls31 v13">1<span class="ff2 ls81 ws21">/<span class="ff5 ls5e">3</span></span></span><span class="ls81 ws0 v12">cos(<span class="ff3 ws11">\u03b8 /<span class="ff1">3)</span></span></span></div><div class="t m0 x1 h7 y27 ff3 fs0 fc0 sc0 ls45">u<span class="ff2 fs1 ls79 v6">r</span><span class="ff1 ls7a">=</span><span class="ls75">r<span class="ff4 fs1 ls24 v1">\u2212<span class="ff5 ls39">1</span></span><span class="ls81 ws1a">v<span class="ff2 fs1 ls7b v6">\u03b8</span>u<span class="ff2 fs1 ls7c v6">\u03b8</span><span class="ff1 ls7a">=</span><span class="ff6 ws10">\u2212</span><span class="ws11">r u<span class="ff2 fs1 ls7d v6">r</span><span class="ws2c">u, v</span></span></span></span></div><div class="t m0 x28 h3 y28 ff3 fs0 fc0 sc0 ls81 ws42">r<span class="_15 blank"> </span>> <span class="ff1 ws43">0<span class="_14 blank"> </span>0 </span><span class="ws44">< \u03b8<span class="_15 blank"> </span>< <span class="ff1 ws0">2</span><span class="ws45">\u03c0 f</span></span></div><div class="t m0 x29 h3 y29 ff3 fs0 fc0 sc0 ls81">f</div><div class="t m0 x2a h3 y2a ff3 fs0 fc0 sc0 ls81 ws46">f f</div><div class="t m0 x2b h3 y2b ff3 fs0 fc0 sc0 ls7e">x<span class="ff6 ls7f">\u2265<span class="ff1 ls80">0</span></span><span class="ls81">f</span></div><div class="t m0 x2c h3 y2c ff3 fs0 fc0 sc0 ls81 ws47">f<span class="_16 blank"> </span>x <span class="ff6 ls16">\u2265</span><span class="ff1">0</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 x0 y2d w1 hf" alt="" src="https://files.passeidireto.com/0e8cd7a3-c41b-415b-8b39-656205476a30/bg2.png"><div class="t m0 x2d h10 y2e ff5 fs1 fc0 sc0 ls81">1</div><div class="t m0 x2d h10 y2f ff5 fs1 fc0 sc0 ls81">2</div><div class="t m0 x2e hc y30 ff3 fs0 fc0 sc0 ls82">p<span class="ff1 ls81 ws0">(</span><span class="ls81 ws49">x,<span class="_17 blank"> </span>y <span class="ff1 wsf">) =<span class="_18 blank"> </span></span><span class="v12">x</span></span></div><div class="t m0 x2f h11 y31 ff3 fs0 fc0 sc0 ls1e">x<span class="ff5 fs1 ls7 vc">2</span><span class="ff1 ls10">+</span><span class="lsb">y<span class="ff5 fs1 ls81 vc">2</span></span></div><div class="t m0 x30 h3 y32 ff3 fs0 fc0 sc0 ls81">xy</div><div class="t m0 x31 h3 y33 ff3 fs0 fc0 sc0 ls83">q<span class="ff1 ls4a">=</span><span class="ls84">q<span class="ff1 ls27">(</span><span class="ls81 ws49">x,<span class="_17 blank"> </span>y <span class="ff1 ls85">)</span><span class="ws4a">p<span class="_19 blank"> </span>q <span class="ff1 ws0">(0</span><span class="ls86">,</span><span class="ff1 ws4b">1) = <span class="ff6 ws10">\u2212</span>1</span></span></span></span></div><div class="t m0 x32 h3 y34 ff3 fs0 fc0 sc0 ls81 ws4c">p q</div><div class="t m0 x33 h3 y35 ff1 fs0 fc0 sc0 ls81">1</div><div class="t m0 x33 hd y36 ff3 fs0 fc0 sc0 ls87">z<span class="ff1 ls88 v12">=</span><span class="ls81 v14">z</span></div><div class="t m0 x34 hd y36 ff6 fs0 fc0 sc0 ls81 ws10">|<span class="ff3 ls6">z</span>|<span class="ff5 fs1 ls89 vc">2</span><span class="ff1 ls8a v12">=</span><span class="ff3 ls8b v14">x</span><span class="lsd v14">\u2212</span><span class="ff3 v14">\u0131y</span></div><div class="t m0 x2e hd y36 ff3 fs0 fc0 sc0 ls1e">x<span class="ff5 fs1 ls7 vc">2</span><span class="ff1 ls10">+</span><span class="lsb">y<span class="ff5 fs1 ls89 vc">2</span><span class="ff1 ls8c v12">=</span><span class="ls81 v14">x</span></span></div><div class="t m0 x35 hd y36 ff3 fs0 fc0 sc0 ls1e">x<span class="ff5 fs1 ls7 vc">2</span><span class="ff1 ls10">+</span><span class="lsb">y<span class="ff5 fs1 ls8d vc">2</span><span class="ff1 ls8 v12">+</span><span class="ls8e v12">\u0131</span><span class="ff6 ls1c v14">\u2212</span><span class="ls81 v14">y</span></span></div><div class="t m0 x36 h11 y36 ff3 fs0 fc0 sc0 ls1e">x<span class="ff5 fs1 ls7 vc">2</span><span class="ff1 ls10">+</span><span class="lsb">y<span class="ff5 fs1 ls81 vc">2</span></span></div><div class="t m0 x37 h12 y37 ff3 fs0 fc0 sc0 ls5">f<span class="ff1 ls27">(</span><span class="ls6">z<span class="ff1 ls81 wsf">) =<span class="_1a blank"> </span><span class="ff5 fs1 v2">1</span></span></span></div><div class="t m0 x38 ha y38 ff2 fs1 fc0 sc0 ls8f">z<span class="ff3 fs0 ls49 v10">z<span class="ff6 ls81 ws10">6<span class="ff1 wsf">= 0</span></span></span></div><div class="t m0 x21 h13 y39 ff3 fs0 fc0 sc0 ls90">p<span class="ff1 ls81 ws4d">= Re(</span><span class="ls5">f<span class="ff1 ls91">)</span><span class="ls92">q<span class="ff1 ls93">=<span class="ff6 ls94">\u2212<span class="ff2 fs1 ls81 v15">y</span></span></span></span></span></div><div class="t m0 x39 hb y3a ff2 fs1 fc0 sc0 ls9">x<span class="ff7 fs2 ls95 vf">2</span><span class="ff5 ls24">+</span><span class="ls96">y<span class="ff7 fs2 ls97 vf">2</span><span class="ff1 fs0 ls98 v10">+<span class="ff3 ls81">c</span></span></span></div><div class="t m0 x3a h3 y3b ff3 fs0 fc0 sc0 ls81 ws4e">p<span class="_d blank"> </span>c<span class="_1b blank"> </span>q <span class="ff1 ws0">(0</span><span class="ls86">,</span><span class="ff1 ws4b">1) = <span class="ff6 ws10">\u2212</span><span class="ls99">1</span></span><span class="ls9a">c</span><span class="ff1 wsf">= 0</span></div><div class="t m0 x12 h14 y3c ff3 fs0 fc0 sc0 ls84">q<span class="ff1 ls27">(</span><span class="ls81 ws49">x,<span class="_17 blank"> </span>y <span class="ff1 ws3">) = <span class="ff6 ls94">\u2212</span><span class="ff2 fs1 v15">y</span></span></span></div><div class="t m0 x3b hb y3d ff2 fs1 fc0 sc0 ls9">x<span class="ff7 fs2 ls95 vf">2</span><span class="ff5 ls24">+</span><span class="ls9b">y<span class="ff7 fs2 ls9c vf">2</span><span class="ff3 fs0 ls81 ws4f v10">p q</span></span></div><div class="t m0 x3c h3 y3e ff3 fs0 fc0 sc0 ls81">x</div><div class="t m0 x1a h15 y3f ff3 fs0 fc0 sc0 ls1e">x<span class="ff5 fs1 ls7 vc">2</span><span class="ff1 ls10">+</span><span class="lsb">y<span class="ff5 fs1 ls89 vc">2</span><span class="ff1 ls4a v12">=</span><span class="ls9d v12">c<span class="ff6 ls9e">\u2212</span></span><span class="ls81 v14">y</span></span></div><div class="t m0 x17 h16 y3f ff3 fs0 fc0 sc0 ls1e">x<span class="ff5 fs1 ls7 vc">2</span><span class="ff1 ls10">+</span><span class="lsb">y<span class="ff5 fs1 ls9f vc">2</span><span class="ff1 ls15 v12">=</span><span class="lsa0 v12">d<span class="ff1 ls81 ws0">(<span class="ff3 ws2c">c, d<span class="_1c blank"> </span><span class="ff6 lsa1">\u2208</span></span><span class="ff8">R</span><span class="ls27">)<span class="ff3 lsa2">,</span>(</span><span class="ff3 ws49">x,<span class="_17 blank"> </span>y </span><span class="lsa3">)</span><span class="ff6 ws10">6</span><span class="wsf">= (0<span class="ff3 lsa4">,</span>0)</span></span></span></span></div><div class="t m0 x3d h3 y40 ff3 fs0 fc0 sc0 ls9a">c<span class="ff1 ls81 wsf">= 0<span class="_1d blank"> </span></span><span class="ls81 ws47">p<span class="_8 blank"> </span>x <span class="ff1 wsf">= 0<span class="_1e blank"> </span></span><span class="lsa5">d</span><span class="ff1 wsf">= 0<span class="_1d blank"> </span></span><span class="ws50">q<span class="_8 blank"> </span>y <span class="ff1 wsf">= 0</span></span></span></div><div class="t m0 xe h3 y41 ff3 fs0 fc0 sc0 ls9a">c<span class="ff6 ls81 ws10">6<span class="ff1 wsf">= 0<span class="_18 blank"> </span><span class="ff3">p</span></span></span></div><div class="t m0 x3e h6 y42 ff3 fs0 fc0 sc0 ls1e">x<span class="ff5 fs1 ls7 v2">2</span><span class="ff1 ls8">+</span><span class="ls25">y<span class="ff5 fs1 ls7 v2">2</span><span class="ff6 lsa6">\u2212<span class="ff5 fs1 ls81 v2">1</span></span></span></div><div class="t m0 x3f h17 y43 ff2 fs1 fc0 sc0 lsa7">c<span class="ff3 fs0 lsa8 v10">x<span class="ff1 ls81 wsf">= 0<span class="_2 blank"> </span>=<span class="_1f blank"></span><span class="ff6 lsa9">\u21d2<span class="ff1 ls81 ws0">(<span class="ff3 ls8b">x</span></span><span class="lsaa">\u2212<span class="ff5 fs1 ls81 v2">1</span></span></span></span></span></div><div class="t m0 x40 h5 y43 ff5 fs1 fc0 sc0 ls81 wsb">2<span class="ff2 lsab">c</span><span class="ff1 fs0 ws0 v10">)</span><span class="ls7 v3">2</span><span class="ff1 fs0 ls8 v10">+<span class="ff3 ls25">y</span></span><span class="lsac v3">2</span><span class="ff1 fs0 lsad v10">=</span><span class="v3">1</span></div><div class="t m0 x41 h18 y43 ff5 fs1 fc0 sc0 ls31">4<span class="ff2 ls81 ws21">c<span class="ff7 fs2 vf">2</span></span></div><div class="t m0 x42 h4 y44 ff3 fs0 fc0 sc0 lsae">x<span class="ff1 lsaf">(<span class="ff5 fs1 ls81 v2">1</span></span></div><div class="t m0 x43 h17 y45 ff5 fs1 fc0 sc0 ls81 wsb">2<span class="ff2 lsb0">c<span class="ff3 fs0 ls86 v10">,<span class="ff1 ls81 ws51">0) </span></span></span><span class="v3">1</span></div><div class="t m0 x44 h10 y45 ff5 fs1 fc0 sc0 ls81 wsb">2<span class="ff4 lsb1">|<span class="ff2 lsb2">c</span><span class="ls81">|</span></span></div><div class="t m0 x45 h3 y46 ff3 fs0 fc0 sc0 lsb3">c<span class="ff6 ls81 ws10">6<span class="ff1 ws52">= 0<span class="_20 blank"> </span><span class="ff3">p</span></span></span></div><div class="t m0 x46 h3 y47 ff3 fs0 fc0 sc0 lsb4">d<span class="ff6 ls81 ws10">6<span class="ff1 wsf">= 0<span class="_18 blank"> </span><span class="ff3">q</span></span></span></div><div class="t m0 x3e h6 y48 ff3 fs0 fc0 sc0 ls1e">x<span class="ff5 fs1 ls7 v2">2</span><span class="ff1 ls10">+</span><span class="lsb">y<span class="ff5 fs1 ls7 v2">2</span><span class="ff1 lsb5">+<span class="ff5 fs1 ls81 v2">1</span></span></span></div><div class="t m0 x3f h5 y49 ff2 fs1 fc0 sc0 lsb6">d<span class="ff3 fs0 lsb7 v10">y<span class="ff1 ls81 wsf">= 0<span class="_2 blank"> </span>=<span class="_1f blank"></span><span class="ff6 lsa9">\u21d2<span class="ff3 ls1e">x<span class="ff5 fs1 ls7 v2">2</span><span class="ff1 ls81 ws4">+ (</span><span class="lsb8">y<span class="ff1 lsb9">+<span class="ff5 fs1 ls81 v2">1</span></span></span></span></span></span></span></div><div class="t m0 x47 h5 y49 ff5 fs1 fc0 sc0 ls81 wsb">2<span class="ff2 lsba">d</span><span class="ff1 fs0 ws0 v10">)</span><span class="lsac v3">2</span><span class="ff1 fs0 lsbb v10">=</span><span class="v3">1</span></div><div class="t m0 x41 h19 y49 ff5 fs1 fc0 sc0 ls31">4<span class="ff2 ls81 ws21">d<span class="ff7 fs2 vf">2</span></span></div><div class="t m0 x48 h4 y4a ff3 fs0 fc0 sc0 lsbc">y<span class="ff1 ls81 ws0">(0</span><span class="ls86">,<span class="ff6 lsbd">\u2212<span class="ff5 fs1 ls81 v2">1</span></span></span></div><div class="t m0 x49 h17 y4b ff5 fs1 fc0 sc0 ls31">2<span class="ff2 lsb6">d<span class="ff1 fs0 lsbe v10">)</span></span><span class="ls81 v3">1</span></div><div class="t m0 x39 h10 y4b ff5 fs1 fc0 sc0 ls81 wsb">2<span class="ff4 lsb1">|</span><span class="ff2 ws21">d<span class="ff4">|</span></span></div><div class="t m0 x4a h3 y4c ff3 fs0 fc0 sc0 lsbf">d<span class="ff6 ls81 ws10">6<span class="ff1 ws2d">= 0<span class="_21 blank"> </span><span class="ff3">q</span></span></span></div><div class="t m0 x1b h3 y4d ff3 fs0 fc0 sc0 ls81 ws4c">p q</div><div class="t m0 x21 h3 y4e ff1 fs0 fc0 sc0 ls81 ws0">(<span class="ff6 ls59">\u2207<span class="ff3 lsc0">p</span></span><span class="lsc">)<span class="ff6 lsc1">·</span></span>(<span class="ff6 ls59">\u2207<span class="ff3 ls84">q</span></span><span class="ws27">) = <span class="ff6 ws10">h<span class="ff3 lsc0">p<span class="ff2 fs1 lsc2 v6">x</span><span class="ls81 ws2c">, p<span class="ff2 fs1 lsc3 v6">y</span></span></span><span class="lsc4 ws53">i·h<span class="_22 blank"></span><span class="ff3 lsc5">q<span class="ff2 fs1 lsc2 v6">x</span><span class="ls81 ws2c">, q<span class="ff2 fs1 lsc3 v6">y</span><span class="ff6 lsc6">i<span class="ff1 ls15">=</span></span><span class="lsc0">p<span class="ff2 fs1 lsc2 v6">x</span></span></span>q<span class="ff2 fs1 lsc7 v6">x</span><span class="ff1 ls10">+</span><span class="lsc0">p<span class="ff2 fs1 lsc3 v6">y</span></span>q<span class="ff2 fs1 lsc8 v6">y</span><span class="ff1 ls4a">=</span><span class="lsc9">q<span class="ff2 fs1 lsc3 v6">y</span></span>q<span class="ff2 fs1 lsca v6">x</span><span class="ff6 ls26">\u2212</span>q<span class="ff2 fs1 lsc2 v6">x</span>q<span class="ff2 fs1 lsc8 v6">y</span><span class="ff1 ls81 wsf">= 0</span></span></span></span></span></div><div class="t m0 x31 h3 y4f ff3 fs0 fc0 sc0 ls81 ws54">p q<span class="_23 blank"> </span>p<span class="ff2 fs1 lscb v6">x</span><span class="ff1 lscc">=</span><span class="lsc5">q<span class="ff2 fs1 lscd v6">y</span><span class="lsc0">p<span class="ff2 fs1 lsce v6">y</span><span class="ff1 lscc">=</span></span></span><span class="ff6 ws10">\u2212</span><span class="lsc9">q</span><span class="ff2 fs1 v6">x</span></div><div class="t m0 x4b h1a y50 ff3 fs0 fc0 sc0 lsc0">p<span class="ff2 fs1 lscf v6">x</span><span class="ff1 lsd0">=</span><span class="lsb v12">y</span><span class="ff5 fs1 ls7 v16">2</span><span class="ff6 lsd v12">\u2212</span><span class="ls1e v12">x</span><span class="ff5 fs1 ls81 v16">2</span></div><div class="t m0 x4c h16 y51 ff1 fs0 fc0 sc0 ls27">(<span class="ff3 ls1e">x<span class="ff5 fs1 ls7 vc">2</span></span><span class="ls10">+<span class="ff3 lsb">y<span class="ff5 fs1 ls39 vc">2</span></span><span class="ls81 ws0">)<span class="ff5 fs1 ls89 vc">2</span><span class="wsf v12">= 0<span class="_2 blank"> </span>=<span class="_1f blank"></span><span class="ff6 lsa9">\u21d2<span class="ff3 lsa8">x<span class="ff1 ls15">=</span></span><span class="ls81 ws10">±<span class="ff3">y</span></span></span></span></span></span></div><div class="t m0 x4b hc y52 ff3 fs0 fc0 sc0 lsc0">p<span class="ff2 fs1 lsd1 v6">y</span><span class="ff1 ls15">=<span class="ff6 lsd2">\u2212</span><span class="ls81 ws0 v12">2<span class="ff3">xy</span></span></span></div><div class="t m0 x33 h1b y53 ff1 fs0 fc0 sc0 ls81 ws0">(<span class="ff3 ls1e">x<span class="ff5 fs1 ls7 vc">2</span></span><span class="ls8">+<span class="ff3 ls25">y<span class="ff5 fs1 ls58 vc">2</span></span></span>)<span class="ff5 fs1 ls89 vc">2</span><span class="wsf v12">= 0<span class="_2 blank"> </span>=<span class="_1f blank"></span><span class="ff6 lsa9">\u21d2<span class="ff3 ls81 ws55">xy <span class="ff1 wsf">= 0<span class="_2 blank"> </span>=<span class="_1f blank"></span><span class="ff6 lsd3">\u21d2<span class="ff3 lsa8">x<span class="ff1 ls81">= 0<span class="_1d blank"> </span></span><span class="lsd4">y<span class="ff1 ls81">= 0</span></span></span></span></span></span></span></span></div><div class="t m0 x4d h3 y54 ff3 fs0 fc0 sc0 lsc0">p<span class="ff2 fs1 lsd5 v6">x</span><span class="ff1 lsd6">=</span>p<span class="ff2 fs1 lsd7 v6">y</span><span class="ff1 ls81 ws56">= 0<span class="_24 blank"> </span></span><span class="lsd8">x<span class="ff1 ls81 ws57">= 0 = </span><span class="ls81 ws58">y p</span></span></div><div class="t m0 xc h3 y55 ff3 fs0 fc0 sc0 ls81 ws59">q<span class="_25 blank"> </span>p q</div><div class="t m0 x4e h4 y56 ff1 fs0 fc0 sc0 ls81 ws2">a) <span class="ff5 fs1 v2">1</span></div><div class="t m0 xf h5 y57 ff5 fs1 fc0 sc0 ls2">2<span class="ff1 fs0 ls27 v10">(<span class="ff3 ls6">z</span></span><span class="ls7 v3">4</span><span class="ff6 fs0 lsd v10">\u2212<span class="ff1 ls81 ws0">16)(<span class="ff3 ls1">z</span></span></span><span class="ls7 v3">3</span><span class="ff1 fs0 ls81 wsf v10">+<span class="_1 blank"> </span>1) = 0;<span class="_26 blank"> </span>b)<span class="_27 blank"> </span>cos(<span class="ff3 ls1">z</span><span class="ws7">) = cosh(4);<span class="_26 blank"> </span>c)<span class="_27 blank"> </span>exp(<span class="ff3 ws5a">\u0131z </span><span class="ws27">) = exp(<span class="ff3 ws5a">\u0131z </span><span class="ws0">)<span class="ff3">.</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="pf3" class="pf w0 h0" data-page-no="3"><div class="pc pc3 w0 h0"><img fetchpriority="low" loading="lazy" class="bi x0 y58 w2 h1c" alt="" src="https://files.passeidireto.com/0e8cd7a3-c41b-415b-8b39-656205476a30/bg3.png"><div class="t m0 x4f h2 y1 ff3 fs0 fc0 sc0 ls1">z<span class="ff5 fs1 lsac v1">4</span><span class="ff1 ls81 wsf">= 16</span></div><div class="t m0 x50 h2 y59 ff3 fs0 fc0 sc0 ls1">z<span class="ff5 fs1 lsac v1">3</span><span class="ff1 ls4a">=<span class="ff6 ls1c">\u2212</span><span class="ls81">1</span></span></div><div class="t m0 x51 h1d y5a ff3 fs0 fc0 sc0 ls1">z<span class="ff5 fs1 lsac v2">4</span><span class="ff1 ls81 wsf">= 16 = 16<span class="_17 blank"> </span>e<span class="ff2 fs1 ls53 v2">\u0131<span class="ff5 lsd9">0</span></span><span class="ws0">=<span class="_1f blank"></span><span class="ff6 lsa9">\u21d2<span class="ff3 ls14">z<span class="ff1 ls81 wsf">= (16)<span class="ff5 fs1 ls31 v2">1<span class="ff2 ls81 ws21">/<span class="ff5 lsac">4</span></span></span><span class="lsda">=</span><span class="ff7 fs2 v17">4</span></span></span></span></span></span></div><div class="t m0 x7 h3 y5b ff6 fs0 fc0 sc0 ls81 ws10">\u221a<span class="ff1 ws9 v18">16 e</span><span class="ff2 fs1 ls53 v19">\u0131<span class="ff5 ls81 wsb">(0+2<span class="ff2 ws5b">k\u03c0<span class="_28 blank"> </span></span>)<span class="ff2 ws21">/</span><span class="lsac">4</span></span></span><span class="ff1 ls27 v18">(<span class="ff3 lsdb">k<span class="ff1 ls81 wsf">= 0</span><span class="lsa4">,<span class="ff1 ls81 ws0">1</span><span class="ls86">,<span class="ff1 ls81 ws0">3</span>,<span class="ff1 ls81 ws5c">4) =<span class="_1f blank"></span><span class="ff6 lsa9">\u21d2<span class="ff3 ls14">z<span class="ff1 ls81 wsf">= 2</span><span class="ls86">,<span class="ff1 ls81 ws0">2<span class="ff3 ws5d">\u0131, </span></span></span></span><span class="ls1c">\u2212<span class="ff1 ls81 ws0">2<span class="ff3 ls86">,</span><span class="ff6 ws10">\u2212</span>2<span class="ff3">\u0131</span></span></span></span></span></span></span></span></span></div><div class="t m0 x51 h6 y5c ff3 fs0 fc0 sc0 ls1">z<span class="ff5 fs1 lsac v2">3</span><span class="ff1 ls15">=<span class="ff6 ls81 ws10">\u2212</span><span class="ls81 ws9">1<span class="_1c blank"> </span>=<span class="_1c blank"> </span>1 e<span class="ff2 fs1 ws5e v2">\u0131\u03c0 </span><span class="ws0">=<span class="_1f blank"></span><span class="ff6 lsa9">\u21d2<span class="ff3 ls14">z<span class="ff1 ls81 wsf">= (</span></span><span class="ls1c">\u2212<span class="ff1 ls81">1)<span class="ff5 fs1 wsb v2">1<span class="ff2 ws21">/<span class="ff5 lsdc">3</span></span></span><span class="lsda">=</span><span class="ff7 fs2 v17">3</span></span></span></span></span></span></span></div><div class="t m0 x52 h3 y5d ff6 fs0 fc0 sc0 ls59">\u221a<span class="ff1 ls81 ws9 v18">1 e</span><span class="ff2 fs1 ls53 v19">\u0131<span class="ff5 ls81 wsb">(<span class="ff2 lsdd">\u03c0</span>+2<span class="ff2 ws5f">m\u03c0 </span>)<span class="ff2 ws21">/</span><span class="lsdc">3</span></span></span><span class="ff1 ls81 ws0 v18">(<span class="ff3 lsde">m</span><span class="wsf">= 0<span class="ff3 lsa4">,</span></span>1<span class="ff3 ls86">,</span><span class="ws5c">2) =<span class="_1f blank"></span><span class="ff6 lsa9">\u21d2<span class="ff3 ls14">z<span class="ff1 ls71">=<span class="ff5 fs1 ls81 v2">1</span></span></span></span></span></span></div><div class="t m0 x53 h9 y5e ff5 fs1 fc0 sc0 ls60">2<span class="ff1 fs0 ls10 v10">+<span class="ff3 ls61">\u0131</span></span><span class="ff4 ls62 ve">\u221a</span><span class="ls81 v3">3</span></div><div class="t m0 x54 h17 y5e ff5 fs1 fc0 sc0 ls63">2<span class="ff3 fs0 ls86 v10">,<span class="ff6 ls1c">\u2212<span class="ff1 ls81 ws0">1<span class="ff3 lsdf">,</span></span></span></span><span class="ls81 v3">1</span></div><div class="t m0 x55 h9 y5e ff5 fs1 fc0 sc0 ls60">2<span class="ff6 fs0 lsd v10">\u2212<span class="ff3 ls61">\u0131</span></span><span class="ff4 ls62 ve">\u221a</span><span class="ls81 v3">3</span></div><div class="t m0 x56 h10 y5e ff5 fs1 fc0 sc0 ls81">2</div><div class="t m0 x57 h3 y5f ff1 fs0 fc0 sc0 ls81 ws0">cos(<span class="ff3 lse0">x</span><span class="lse1">+</span><span class="ff3 ws1b">\u0131y </span><span class="ws7">) = cos(<span class="ff3 ls1e">x</span><span class="ws9">) cosh(<span class="ff3 ls25">y</span><span class="lse2">)<span class="ff6 lse3">\u2212<span class="ff3 ls29">\u0131</span></span></span></span></span>sen(<span class="ff3 ls1e">x</span><span class="ws9">) senh(<span class="ff3 lsb">y</span><span class="ws60">) cos(<span class="ff3 lse0">x</span><span class="lse4">+</span><span class="ff3 wse">\u0131y </span><span class="wsf">) = cosh(4)</span></span></span></div><div class="t m0 x2d h3 y60 ff1 fs0 fc0 sc0 ls81 ws0">cos(<span class="ff3 ls1e">x</span><span class="ws9">) cosh(<span class="ff3 lsb">y</span><span class="ws61">) = cosh(4)<span class="_29 blank"> </span>sen(<span class="ff3 ls1e">x</span></span>) senh(<span class="ff3 lsb">y</span><span class="ws61">) = 0<span class="_2a blank"> </span>sen(<span class="ff3 ls1e">x</span>) = 0<span class="_2b blank"> </span>senh(<span class="ff3 ls25">y</span>) = 0</span></span></div><div class="t m0 x4d h3 y61 ff1 fs0 fc0 sc0 ls81 ws0">senh(<span class="ff3 lsb">y</span><span class="ws62">) = 0<span class="_2c blank"> </span><span class="ff3 lse5">y</span><span class="ws63">= 0<span class="_2d blank"> </span>cos(<span class="ff3 ls1e">x</span></span>) = cosh(4)</span></div><div class="t m0 x58 h3 y62 ff1 fs0 fc0 sc0 ls81 ws64">cosh(4) <span class="ff3 lse6">></span><span class="lse7">1</span><span class="ff6 ws10">\u2212</span><span class="lse8">1<span class="ff6 lse9">\u2264</span></span><span class="ws0">cos(<span class="ff3 ls1e">x</span><span class="lsea">)<span class="ff6 lseb">\u2264</span></span>1</span></div><div class="t m0 x9 h3 y63 ff1 fs0 fc0 sc0 ls81 ws0">sen(<span class="ff3 ls1e">x</span><span class="ws65">) = 0<span class="_2e blank"> </span><span class="ff3 lsec">x</span><span class="lsed">=</span><span class="ff3 ws66">k \u03c0<span class="_2f blank"> </span>k<span class="_30 blank"> </span></span></span>cos(<span class="ff3 ls1e">x</span><span class="ws65">) = cos(<span class="ff3 ws66">k \u03c0 </span><span class="ws67">) = <span class="ff6 ls1c">±</span><span class="ws68">1 cos(<span class="ff3 ls1e">x</span></span>) = <span class="ff6 ls1c">\u2212</span>1</span></span></div><div class="t m0 x3e h3 y64 ff1 fs0 fc0 sc0 ls81 ws0">cosh(<span class="ff3 lsb">y</span><span class="ws69">) = <span class="ff6 lsee">\u2212</span><span class="ws6a">cosh(4) cosh(<span class="ff3 ls25">y</span><span class="lsef">)<span class="ff6 lsf0">\u2265</span></span>1</span></span></div><div class="t m0 x9 h3 y65 ff3 fs0 fc0 sc0 lsf1">x<span class="ff1 ls81 wsf">= 2</span><span class="ls81 ws6b">m\u03c0 m<span class="_31 blank"> </span><span class="ff1 ws0">cosh(</span><span class="lsb">y</span><span class="ff1 wsf">) = cosh(4)<span class="_32 blank"> </span></span><span class="lsf2">y<span class="ff1 lsf3">=</span></span><span class="ff6 ws10">±<span class="ff1 lsf4">4</span></span><span class="lsf5">z<span class="ff1 ls36">=</span><span class="lsf6">x<span class="ff1 ls34">+</span></span></span><span class="ws6c">\u0131y <span class="ff1 wsf">= 2</span><span class="ws6d">m\u03c0 <span class="ff6 lsf7">±</span><span class="ff1 ws0">4</span>\u0131</span></span></span></div><div class="t m0 x6 h3 y66 ff3 fs0 fc0 sc0 ls81">m</div><div class="t m0 x14 h3 y67 ff1 fs0 fc0 sc0 ls81 ws0">exp(<span class="ff3 ws5a">\u0131z </span><span class="ws6e">) = exp(<span class="ff3 ws1a">\u0131</span></span>(<span class="ff3 lsf8">x<span class="ff6 lsf9">\u2212</span><span class="ls81 ws1b">\u0131y </span></span><span class="ws6e">)) = exp(<span class="ff3 lsfa">y</span><span class="lsfb">+</span><span class="ff3 ws1a">\u0131x</span><span class="ws6f">) exp(<span class="ff3 ws5a">\u0131z </span></span>) = exp(<span class="ff3 ws1a">\u0131</span></span>(<span class="ff3 lsf8">x</span><span class="lsfb">+</span><span class="ff3 ws1b">\u0131y </span><span class="ws6e">)) = exp(<span class="ff6 ls1c">\u2212<span class="ff3 lsfa">y</span></span><span class="lsfc">+</span><span class="ff3 ws1a">\u0131x</span>)</span></div><div class="t m0 x59 h3 y68 ff1 fs0 fc0 sc0 ls81 ws0">exp(<span class="ff3 ws70">\u0131z </span><span class="ws27">) = exp(<span class="ff6 ls1c">\u2212<span class="ff3 lsb8">y</span></span><span class="ls8">+</span><span class="ff3 ws1a">\u0131x</span><span class="ws7">) = exp(<span class="ff6 ws10">\u2212<span class="ff3 lsb8">y</span><span class="ls26">\u2212</span><span class="ff3 ws1a">\u0131x</span></span>)</span></span></div><div class="t m0 x5a h3 y69 ff1 fs0 fc0 sc0 ls81 ws0">exp(<span class="ff3 ws70">\u0131z </span><span class="ws71">) = exp(<span class="ff3 ws5a">\u0131z </span><span class="ws72">) exp(<span class="ff3 lsfd">y</span><span class="lsfe">+</span><span class="ff3 ws1a">\u0131x</span><span class="ws73">) = exp(<span class="ff6 ls1c">\u2212<span class="ff3 lsff">y</span><span class="ls100">\u2212</span></span><span class="ff3 ws1a">\u0131x</span>)</span></span></span></div><div class="t m0 x9 h3 y6a ff3 fs0 fc0 sc0 ls101">y<span class="ff1 ls102">+</span><span class="ls81 ws74">\u0131x <span class="ff1 ls103">=<span class="ff6 ls1c">\u2212</span></span></span>y<span class="ff6 ls104">\u2212</span><span class="ls81 ws75">\u0131x <span class="ff1 ws76">+ 2</span><span class="ws77">k \u03c0 \u0131<span class="_33 blank"> </span>k<span class="_34 blank"> </span><span class="ff1 ws0">2</span><span class="ls105">y</span><span class="ff1 ws76">+ 2</span><span class="ws74">\u0131x <span class="ff1 ws78">= 2</span><span class="ws66">k \u03c0 \u0131<span class="_35 blank"> </span>y<span class="_1a blank"> </span><span class="ff1 ws78">= 0<span class="_36 blank"> </span></span><span class="ls106">x<span class="ff1 ls107">=</span></span></span></span>k \u03c0</span></span></div><div class="t m0 x9 h3 y6b ff1 fs0 fc0 sc0 ls81 ws0">exp(<span class="ff3 ws5a">\u0131z </span><span class="ws3">) = exp(<span class="ff3 ws70">\u0131z </span><span class="ls108">)<span class="ff3 ls49">z</span><span class="ls4a">=</span></span><span class="ff3 ws66">k \u03c0<span class="_7 blank"> </span></span><span class="ls10">+</span><span class="ff3 ws1a">\u0131</span><span class="ls109">0</span><span class="ff3">k</span></span></div><div class="t m0 x3a h2 y6c ff3 fs0 fc0 sc0 ls10a">w<span class="ff1 ls81 ws79">=<span class="_37 blank"> </span>tg<span class="ff4 fs1 wsa v1">\u2212<span class="ff5 ls58">1</span></span><span class="ws0">(</span></span><span class="ls1">z<span class="ff1 ls81">)</span></span></div><div class="t m0 x5b h3 y6d ff1 fs0 fc0 sc0 ls81 ws7a">tg(<span class="ff3 ls10b">w</span><span class="ws27">) = <span class="ff3">z</span></span></div><div class="t m0 x5c h2 y6e ff1 fs0 fc0 sc0 ls81 ws7b">tg<span class="ff4 fs1 wsa v1">\u2212<span class="ff5 ls39">1</span></span><span class="ls27">(<span class="ff3 ls6">z</span></span>)</div><div class="t m0 x2d h10 y6f ff5 fs1 fc0 sc0 ls81">1</div><div class="t m0 x2d h1e y70 ff5 fs1 fc0 sc0 ls10c">2<span class="ff1 fs0 ls81 ws7b v10">tg</span><span class="ff4 ls81 wsa v1a">\u2212</span><span class="ls39 v1a">1</span><span class="ff1 fs0 ls81 ws4 v10">(1 + <span class="ff3 ws1a">\u0131<span class="ff1">)</span></span></span></div><div class="t m0 x2 h7 y71 ff3 fs0 fc0 sc0 ls10d">w<span class="ff1 ls81 ws7c">=<span class="_3 blank"> </span>tg<span class="ff4 fs1 wsa v1">\u2212<span class="ff5 ls58">1</span></span><span class="ws0">(</span></span><span class="ls1">z<span class="ff1 ls10e">)</span><span class="ls14">z<span class="ff1 ls81 ws7a">=<span class="_3 blank"> </span>tg (</span><span class="ls10b">w<span class="ff1 ls81">)</span></span></span></span></div><div class="t m0 x9 hc y72 ff3 fs0 fc0 sc0 ls14">z<span class="ff1 ls10f">=<span class="ls81 ws0 v12">sen(</span></span><span class="ls10b v12">w<span class="ff1 ls81">)</span></span></div><div class="t m0 x5d h1f y73 ff1 fs0 fc0 sc0 ls81 ws0">cos(<span class="ff3 ls110">w</span><span class="ls111">)<span class="ls112 v12">=</span><span class="ls2a v14">e</span></span><span class="ff2 fs1 ws7d v1b">\u0131w </span><span class="ff6 ls113 v14">\u2212</span><span class="ls2a v14">e</span><span class="ff4 fs1 wsa v1b">\u2212<span class="ff2">\u0131w</span></span></div><div class="t m0 x3c h3 y73 ff1 fs0 fc0 sc0 ls81 ws0">2<span class="ff3">\u0131</span></div><div class="t m0 x33 h3 y74 ff1 fs0 fc0 sc0 ls81">2</div><div class="t m0 x5e hd y73 ff1 fs0 fc0 sc0 ls2a">e<span class="ff2 fs1 ls81 ws7d vc">\u0131w </span><span class="ls81 ws7e">+ e<span class="ff4 fs1 ls24 vc">\u2212<span class="ff2 ls81 ws7f">\u0131w </span></span><span class="ls71 v12">=</span><span class="v14">1</span></span></div><div class="t m0 x5f h3 y73 ff3 fs0 fc0 sc0 ls81">\u0131</div><div class="t m0 x31 h7 y74 ff1 fs0 fc0 sc0 ls2a">e<span class="ff5 fs1 ls81 wsb v1">2<span class="ff2 ws7d">\u0131w </span></span><span class="ff6 lsd">\u2212</span><span class="ls81">1</span></div><div class="t m0 x31 h20 y73 ff1 fs0 fc0 sc0 ls2a">e<span class="ff5 fs1 ls81 wsb vc">2<span class="ff2 ws7d">\u0131w </span></span><span class="ls81 ws4">+ 1<span class="_37 blank"> </span><span class="ws0 v12">=<span class="_1f blank"></span><span class="ff6 lsa9">\u21d2<span class="ff3 ls81 ws80">\u0131z <span class="ff1 ls2a">e</span><span class="ff5 fs1 wsb v2">2<span class="ff2 ws81">\u0131w </span></span><span class="ff1 ws0">+</span><span class="ws37">\u0131z <span class="ff1 ws1e">= e<span class="ff5 fs1 wsb v2">2<span class="ff2 ws82">\u0131w </span></span><span class="ff6 ws10">\u2212</span><span class="ws83">1 =<span class="_1f blank"></span><span class="ff6 ls114">\u21d2<span class="ff1 ls2a">e<span class="ff5 fs1 ls81 wsb v2">2<span class="ff2 ws81">\u0131w </span></span><span class="ls27">(<span class="ff3 ls81 ws70">\u0131z </span></span></span><span class="ls1c">\u2212<span class="ff1 ls81 ws84">1) = </span>\u2212<span class="ff3 ls81 ws70">\u0131z </span>\u2212<span class="ff1 ls81">1</span></span></span></span></span></span></span></span></span></span></div><div class="t m0 x60 hc y75 ff1 fs0 fc0 sc0 ls81 ws0">e<span class="ff5 fs1 ls31 v2">2<span class="ff2 ls81 ws85">\u0131w </span></span><span class="ls115">=</span><span class="ws4 v12">1 + <span class="ff3">\u0131z</span></span></div><div class="t m0 x61 h21 y76 ff1 fs0 fc0 sc0 ls116">1<span class="ff6 lsd">\u2212<span class="ff3 ls81 ws86">\u0131z </span></span><span class="ls81 ws0 v12">=<span class="_1f blank"></span><span class="ff6 lsa9">\u21d2<span class="ff1 ls81">2<span class="ff3 ws87">\u0131w </span><span class="ws88">=<span class="_1c blank"> </span>log <span class="ff9 ls117 v1c">\ue012</span><span class="ws4 v12">1 + <span class="ff3">\u0131z</span></span></span></span></span></span></div><div class="t m0 x62 h21 y76 ff1 fs0 fc0 sc0 ls116">1<span class="ff6 lsd">\u2212<span class="ff3 ls81 ws89">\u0131z <span class="ff9 ls118 v1d">\ue013</span></span></span><span class="ls81 ws0 v12">=<span class="_1f blank"></span><span class="ff6 lsd3">\u21d2<span class="ff3 ls119">w<span class="ff1 ls4a">=</span></span><span class="ls11a">\u2212<span class="ff3 ls81 v12">\u0131</span></span></span></span></div><div class="t m0 x41 h21 y76 ff1 fs0 fc0 sc0 ls11b">2<span class="ls81 ws8a v12">log </span><span class="ff9 ls11c v1d">\ue012</span><span class="ls81 ws4 v14">1 + <span class="ff3">\u0131z</span></span></div><div class="t m0 x63 h21 y76 ff1 fs0 fc0 sc0 ls11d">1<span class="ff6 lsd">\u2212<span class="ff3 ls81 ws89">\u0131z <span class="ff9 v1d">\ue013</span></span></span></div><div class="t m0 x64 hc y77 ff1 fs0 fc0 sc0 ls81 ws7b">tg<span class="ff4 fs1 wsa v2">\u2212<span class="ff5 ls39">1</span></span><span class="ws4">(1 + <span class="ff3 ws1a">\u0131</span><span class="ws3">) = <span class="ff6 ls11a">\u2212</span><span class="ff3 v12">\u0131</span></span></span></div><div class="t m0 x65 h22 y78 ff1 fs0 fc0 sc0 ls11b">2<span class="ls81 ws8a v12">log </span><span class="ff9 ls11c v1d">\ue012</span><span class="ls81 ws4 v14">1 + <span class="ff3 ws1a">\u0131</span>(1 + <span class="ff3 ws1a">\u0131</span>)</span></div><div class="t m0 x37 h22 y78 ff1 fs0 fc0 sc0 ls11d">1<span class="ff6 lsd">\u2212<span class="ff3 ls81 ws1a">\u0131</span></span><span class="ls81 ws4">(1 + <span class="ff3 ws1a">\u0131</span><span class="ls11e">)<span class="ff9 ls11f v1d">\ue013</span><span class="ls4a v12">=<span class="ff6 ls11a">\u2212</span></span></span><span class="ff3 v14">\u0131</span></span></div><div class="t m0 x66 h22 y78 ff1 fs0 fc0 sc0 ls11b">2<span class="ls81 ws8a v12">log </span><span class="ff9 ls120 v1d">\ue012</span><span class="ff3 ls81 v14">\u0131</span></div><div class="t m0 x67 h22 y78 ff1 fs0 fc0 sc0 ls11d">2<span class="ff6 lsd">\u2212<span class="ff3 ls61">\u0131<span class="ff9 ls121 v1d">\ue013</span></span></span><span class="ls4a v12">=<span class="ff6 ls11a">\u2212<span class="ff3 ls81 v12">\u0131</span></span></span></div><div class="t m0 x68 h22 y78 ff1 fs0 fc0 sc0 ls11b">2<span class="ls81 ws8a v12">log </span><span class="ff9 ls120 v1d">\ue012</span><span class="ff3 ls81 v14">\u0131</span></div><div class="t m0 x69 h22 y78 ff1 fs0 fc0 sc0 ls116">2<span class="ff6 lsd">\u2212<span class="ff3 ls122">\u0131<span class="ff9 ls11f v1d">\ue013</span></span></span><span class="ls15 v12">=<span class="ff6 ls123">\u2212<span class="ff3 ls81 v12">\u0131</span></span></span></div><div class="t m0 x6a h22 y78 ff1 fs0 fc0 sc0 ls11b">2<span class="ls81 ws8b v12">log </span><span class="ff9 ls124 v1d">\ue012</span><span class="ls81 v14">1</span></div><div class="t m0 x6b h22 y78 ff1 fs0 fc0 sc0 ls74">5<span class="ls81 ws0 v12">(<span class="ff6 ws10">\u2212</span></span><span class="lsc4 ws8c v12">1+2<span class="_22 blank"></span><span class="ff3 ls81 ws1a">\u0131<span class="ff1 ls27">)</span><span class="ff9 v1c">\ue013</span></span></span></div><div class="t m0 x3c h10 y79 ff5 fs1 fc0 sc0 ls81">1</div><div class="t m0 x3c h23 y7a ff5 fs1 fc0 sc0 ls125">5<span class="ff1 fs0 ls27 v10">(<span class="ff6 ls81 ws10">\u2212</span><span class="ls126 ws8d">1+2<span class="_38 blank"></span><span class="ff3 ls81 ws1a">\u0131<span class="ff1 ws8e">) = </span><span class="ls12">r<span class="ff1 ls2a">e</span></span><span class="ff2 fs1 ws8f v1">\u0131\u03b8 </span><span class="ls127">r</span><span class="ff1 ws90">= 1</span>/<span class="ff6 ws10 v1e">\u221a</span><span class="ff1 ws7a">5<span class="_39 blank"> </span>tg(</span><span class="ls128">\u03b8</span><span class="ff1 ws90">) =<span class="_3a blank"> </span><span class="ff5 fs1 v2">2</span></span></span></span></span></div><div class="t m0 x6c hb y7a ff4 fs1 fc0 sc0 ls24">\u2212<span class="ff5 ls129">1<span class="ff1 fs0 ls12a v10">=<span class="ff6 ls1c">\u2212<span class="ff1 ls81">2</span></span></span></span></div><div class="t m0 x9 h12 y7b ff3 fs0 fc0 sc0 ls12b">\u03b8<span class="ff1 ls4a">=<span class="ff6 lsee">\u2212</span><span class="ls81 ws7b">tg<span class="ff4 fs1 ls24 v1">\u2212<span class="ff5 ls39">1</span></span><span class="ws91">(2) <span class="ff5 fs1 v2">1</span></span></span></span></div><div class="t m0 x23 h17 y7c ff5 fs1 fc0 sc0 ls12c">5<span class="ff1 fs0 ls81 ws0 v10">(<span class="ff6 ws10">\u2212<span class="ff1 lsc4 ws8c">1+2<span class="_22 blank"></span><span class="ff3 ls81 ws1a">\u0131<span class="ff1 wsf">) =<span class="_3b blank"> </span><span class="ff5 fs1 v2">1</span></span></span></span></span></span></div><div class="t m0 x25 h24 y7d ff4 fs1 fc0 sc0 ls62">\u221a<span class="ff5 ls12d v1f">5</span><span class="ff1 fs0 ls81 ws0 v6">e</span><span class="ls24 v7">\u2212<span class="ff2 ls12e">\u0131<span class="ff5 ls81 ws92">tg<span class="ffa fs2 ws93 v7">\u2212<span class="ff7 ls95">1</span></span>(2)</span></span></span></div><div class="t m0 x9 h25 y7e ff1 fs0 fc0 sc0 ls81 ws7a">log(<span class="_3c blank"> </span><span class="v12">1</span></div><div class="t m0 x5 h26 y7f ff1 fs0 fc0 sc0 ls72">5<span class="ls27 v12">(<span class="ff6 ls81 ws10">\u2212<span class="ff1 ws0">1+2<span class="ff3 ws1a">\u0131</span><span class="ws7">)) = ln(<span class="ff3 ls75">r</span></span>)+<span class="ff3 ws1a">\u0131</span></span></span>(<span class="ff3 ls128">\u03b8</span><span class="ls81 ws0">+2<span class="ff3 ws77">k \u03c0 </span><span class="wsf">) = ln(1<span class="ff3 ws1a">/<span class="ff6 ls59 v20">\u221a</span></span></span>5)+<span class="ff3 ws1a">\u0131</span>(<span class="ff6 lsee">\u2212</span><span class="ws7b">tg<span class="ff4 fs1 ls24 v2">\u2212<span class="ff5 ls39">1</span></span></span>(2)+2<span class="ff3 ws66">k \u03c0 </span><span class="ws27">) = <span class="ff6 lsee">\u2212</span></span>ln(<span class="ff6 ls59 v20">\u221a</span>5)+<span class="ff3 ws1a">\u0131</span>(<span class="ff6 lsee">\u2212</span><span class="ws7b">tg <span class="ff4 fs1 wsa v2">\u2212<span class="ff5 ls58">1</span></span></span>(2)+2<span class="ff3 ws66">k \u03c0 </span><span class="ls12f">)</span><span class="ff3">k</span></span></span></div><div class="t m0 x50 hc y80 ff1 fs0 fc0 sc0 ls81 ws7b">tg<span class="ff4 fs1 wsa v2">\u2212<span class="ff5 ls39">1</span></span><span class="ws4">(1 + <span class="ff3 ws1a">\u0131</span><span class="ws3">) = <span class="ff6 ls11a">\u2212</span><span class="ff3 v12">\u0131</span></span></span></div><div class="t m0 x15 h26 y81 ff1 fs0 fc0 sc0 ls74">2<span class="ls81 ws0 v12">(<span class="ff6 lsee">\u2212</span>ln(<span class="ff6 ls59 v20">\u221a</span><span class="ws4">5) + <span class="ff3 ws1a">\u0131</span><span class="ls27">(<span class="ff6 lsee">\u2212</span></span><span class="ws94">tg<span class="ff4 fs1 ls24 v2">\u2212<span class="ff5 ls39">1</span></span></span>(2) + 2<span class="ff3 ws66">k \u03c0 </span><span class="ws95">)) = <span class="ff6 ls5f">\u2212</span><span class="v12">1</span></span></span></span></div><div class="t m0 x6d h15 y81 ff1 fs0 fc0 sc0 ls11b">2<span class="ls81 ws7b v12">tg</span><span class="ff4 fs1 ls81 wsa v13">\u2212<span class="ff5 ls39">1</span></span><span class="ls81 ws4 v12">(2) + <span class="ff3 ws66">k \u03c0<span class="_7 blank"> </span><span class="ff1 ls130">+<span class="ls81 v12">1</span></span></span></span></div><div class="t m0 x6e h26 y81 ff1 fs0 fc0 sc0 ls11b">2<span class="ls81 ws0 v12">ln(</span><span class="ff6 ls81 ws10 v21">\u221a</span><span class="ls81 ws0 v12">5)<span class="ff3 ws1a">\u0131<span class="ff1 ws96">; (</span><span class="ls131">k</span><span class="ff1">)</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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