<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/b6432c13-20c3-4467-a9e4-a38dbf1ec503/bg1.png"><div class="c x0 y1 w2 h0"><div class="t m0 x1 h2 y2 ff1 fs0 fc0 sc0 ls9 ws17">MATEMÁTICA (6<span class="lsa ws0">1)</span><span class="ff2"> Cátedra A: NUÑEZ, MYRIAM </span></div><div class="t m0 x1 h2 y3 ff1 fs0 fc0 sc0 ls9 ws17">RECUPERATORI<span class="blank _0"></span>O 1° PARCIAL </div><div class="t m0 x2 h2 y4 ff1 fs0 fc0 sc0 ls9 ws17"> </div><div class="t m0 x1 h2 y5 ff2 fs0 fc0 sc0 ls9 ws17"> </div><div class="t m0 x1 h3 y6 ff2 fs1 fc0 sc0 ls9 ws17"> </div><div class="t m0 x1 h2 y7 ff2 fs0 fc0 sc0 lsb ws1">21<span class="ls9 ws2">/06/2023<span class="ff1 ws17"> <span class="blank _0"></span> <span class="blank _1"> </span> <span class="blank _2"> </span> <span class="blank _2"> </span> <span class="blank _2"> </span> <span class="blank _2"> </span> <span class="blank _2"> </span> <span class="blank _2"> </span> <span class="blank _2"> </span> <span class="blank _2"> </span> <span class="blank _2"> </span> <span class="blank _2"> </span> <span class="blank _2"> </span>TEMA 4 </span></span></div><div class="t m0 x3 h2 y8 ff2 fs0 fc0 sc0 ls9 ws17"> Hoja 1 de 4 </div><div class="t m0 x3 h2 y9 ff2 fs0 fc0 sc0 ls9 ws17"> </div><div class="t m0 x1 h3 ya ff2 fs1 fc0 sc0 ls9 ws17"> </div><div class="t m0 x1 h3 yb ff2 fs1 fc0 sc0 ls9 ws17"> </div><div class="t m0 x1 h4 yc ff3 fs2 fc0 sc0 ls9 ws17">Tabla de uso exclusivo para el docente </div></div><div class="c x4 yd w3 h5"><div class="t m0 x5 h6 ye ff3 fs3 fc0 sc0 ls9 ws17"> </div></div><div class="c x6 yd w4 h5"><div class="t m0 x7 h6 ye ff3 fs3 fc0 sc0 ls9 ws17">1 </div></div><div class="c x8 yd w5 h5"><div class="t m0 x7 h6 ye ff3 fs3 fc0 sc0 ls9 ws17">2 </div></div><div class="c x9 yd w6 h5"><div class="t m0 x7 h6 ye ff3 fs3 fc0 sc0 ls9 ws17">3 </div></div><div class="c xa yd w7 h5"><div class="t m0 x7 h6 ye ff3 fs3 fc0 sc0 ls9 ws17">4 </div></div><div class="c x4 yf w3 h7"><div class="t m0 xb h8 y10 ff4 fs2 fc0 sc0 ls9 ws17"> </div></div><div class="c x6 yf w4 h7"><div class="t m0 xb h8 y10 ff4 fs2 fc0 sc0 ls9 ws17"> </div></div><div class="c x8 yf w5 h7"><div class="t m0 xb h8 y10 ff4 fs2 fc0 sc0 ls9 ws17"> </div></div><div class="c x9 yf w6 h7"><div class="t m0 xb h8 y10 ff4 fs2 fc0 sc0 ls9 ws17"> </div></div><div class="c xa yf w7 h7"><div class="t m0 xb h8 y10 ff4 fs2 fc0 sc0 ls9 ws17"> </div></div><div class="c x4 y11 w5 h9"><div class="t m0 xb ha y12 ff4 fs4 fc0 sc0 ls9 ws17">Puntaje de cada </div><div class="t m0 xb ha y13 ff4 fs4 fc0 sc0 ls9 ws17">ejercicio </div></div><div class="c x6 y11 w4 h9"><div class="t m0 xc h8 y14 ff4 fs2 fc0 sc0 ls9 ws17">2,50 </div></div><div class="c x8 y11 w5 h9"><div class="t m0 xc h8 y14 ff4 fs2 fc0 sc0 ls9 ws17">2,50 </div></div><div class="c x9 y11 w6 h9"><div class="t m0 xc h8 y14 ff4 fs2 fc0 sc0 ls9 ws17">2,50 </div></div><div class="c xa y11 w7 h9"><div class="t m0 xc h8 y14 ff4 fs2 fc0 sc0 ls9 ws17">2,50 </div></div><div class="c x0 y1 w2 h0"><div class="t m0 x1 hb y15 ff5 fs5 fc0 sc0 ls9 ws17">Duración del exam<span class="blank _3"> </span>en: 1h <span class="ff6 ws3">40\u2019.</span> Com<span class="blank _3"> </span>pletar los datos<span class="blank _3"> </span> personales<span class="blank _3"> </span> con letra clara, m<span class="blank _3"> </span>ayúscula e imprenta. <span class="blank _3"> </span> </div><div class="t m0 xd hc y16 ff3 fs5 fc0 sc0 ls9 ws17">No se aceptarán respue<span class="blank _3"> </span>stas en lápiz.<span class="blank _3"> </span> </div><div class="t m0 xe hd y17 ff2 fs6 fc0 sc0 ls9 ws17"> </div><div class="t m0 x1 he y18 ff7 fs2 fc0 sc0 ls9 ws17">1. Hallar <span class="ff8 ws4">\uee8c<span class="fs7 ws5 v1">\uf13f\uf0da<span class="blank"> </span></span><span class="ls0 v2">\udb80\udddb</span><span class="ls1">\uee9e</span><span class="v2">\udb80\udddc</span></span> , <span class="ff8 ws6">\uee88<span class="blank"> </span>\uebd0<span class="blank"> </span>\ueb39</span>; tal que <span class="ff8 ws4">\uee8c<span class="ls0 v2">\udb80\udddb</span><span class="ls1">\uee9e<span class="ls2 v2">\udb80\udddc</span><span class="ls3">\uf34c<span class="fs7 lsc ws7 v3">\uf0db\uee88<span class="ls9 ws8">\uf13f\uee9e</span></span></span></span></span></div><div class="t m0 xf hf y19 ff8 fs7 fc0 sc0 ls9 ws9">\uf13f\uf0dc<span class="blank"> </span><span class="ff7 fs2 ws17 v4"> , si: <span class="ff8 ws4">\uee8c<span class="ls0 v2">\udb80\udddb</span>\uf346\uee88<span class="ls4 v2">\udb80\udddc</span><span class="wsa">\uf34c<span class="blank"> </span>\uee8c</span></span></span><span class="wsb v5">\uf13f\uf0da<span class="blank"> </span></span><span class="fs2 ls0 v6">\udb80\udddb<span class="ls5 wsc v7">\uee88\uf346\uf0da<span class="blank _4"></span><span class="ls9 ws4 v2">\udb80\udddc<span class="ff7 ws17 v7"> </span></span></span></span></div><div class="t m0 x1 h6 y1a ff3 fs3 fc0 sc0 ls9 ws17"> </div><div class="t m0 x1 h10 y1b ff9 fs2 fc0 sc0 ls9 ws17">Para la realización de este ejercicio, recomenda<span class="blank _0"></span>mos ver apuntes de: Función inversa<span class="blank _3"> </span> </div><div class="t m0 x1 h11 y1c ff9 fs2 fc0 sc0 ls9 ws17">Para <span class="blank _5"> </span>hallar <span class="blank _5"> </span>la <span class="blank _5"> </span>función <span class="blank _5"> </span>in<span class="blank _3"> </span>versa <span class="blank _5"> </span>de <span class="blank _6"> </span><span class="ff8 wsd">\ued42<span class="blank"> </span>\udb80\udddb\ued54<span class="blank"> </span>\udb80\udddc</span>, <span class="blank _5"> </span>como <span class="blank _5"> </span>nos <span class="blank _6"> </span>dan <span class="blank _5"> </span>de <span class="blank _5"> </span>dato <span class="blank _5"> </span>que <span class="blank _6"> </span><span class="ff8 ls6">\ued42<span class="ls0 v2">\udb80\udddb</span><span class="ls9 wse">\uf346\ued3e<span class="ls4 v2">\udb80\udddc</span><span class="wsf">\uf34c<span class="blank _7"> </span>\ued42<span class="blank"> </span><span class="fs7 ws10 v1">\uf13f\uf135<span class="blank"> </span></span><span class="ls0 v2">\udb80\udddb</span><span class="ws11">\ued3e<span class="blank"> </span>\uf346<span class="blank"> </span>\ue973<span class="ls0 v2">\udb80\udddc</span></span></span></span></span>, <span class="blank _5"> </span>basta <span class="blank _5"> </span>con <span class="blank _6"> </span>encontrar <span class="blank _5"> </span>la </div><div class="t m0 x1 h11 y1d ff9 fs2 fc0 sc0 ls9 ws17">imagen de <span class="ff8 ws12">\ued42<span class="blank"> </span>\udb80\udddb\ued54<span class="blank"> </span>\udb80\udddc<span class="blank"> </span></span>, ya que la misma será el dominio de <span class="ff8 ls7">\ued42<span class="fs7 ls9 ws13 v1">\uf13f\uf135<span class="blank"> </span></span><span class="ls0 v2">\udb80\udddb</span><span class="ls8">\ued54<span class="ls0 v2">\udb80\udddc</span><span class="ls9 ws4">\ue7e4</span></span></span> </div><div class="t m0 x1 h10 y1e ff9 fs2 fc0 sc0 ls9 ws17">Al <span class="blank _3"> </span>despejar <span class="blank _3"> </span>l<span class="blank _3"> </span>a <span class="blank _5"> </span><span class="ff8 ws4">\ue7f2\ued54\ue7f3</span> <span class="blank _3"> </span>de <span class="blank _3"> </span>la <span class="blank _5"> </span>función <span class="blank _3"> </span><span class="ff8 ls6">\ued42</span><span class="ffa">, <span class="blank _5"> </span>y<span class="blank _0"></span> <span class="blank _5"> </span>realizando <span class="blank _3"> </span>un <span class="blank _5"> </span>cambio <span class="blank _3"> </span>de <span class="blank _3"> </span>variables <span class="blank _5"> </span>(intercambiamos <span class="blank _3"> </span>a <span class="blank _3"> </span>cada <span class="blank _5"> </span>\u201cy\u201d <span class="blank _3"> </span>por <span class="blank _3"> </span>\u201cx<span class="blank _3"> </span>\u201d <span class="blank _3"> </span>y <span class="blank _3"> </span>l<span class="blank _3"> </span>a </span></div><div class="t m0 x1 h10 y1f ffa fs2 fc0 sc0 ls9 ws17">\u201cx\u201d por \u201cy\u201d), lograremos encontrar dicha función inversa<span class="blank _0"></span>:<span class="blank _3"> </span><span class="ff9"> </span></div><div class="t m0 x10 h12 y20 ff8 fs2 fc0 sc0 ls9 ws14">\ued55<span class="blank"> </span>\uf34c<span class="blank"> </span><span class="ws11 v8">\ue974\ued3e<span class="blank"> </span>\uf346<span class="blank"> </span>\ued54</span></div><div class="t m0 x11 h13 y21 ff8 fs2 fc0 sc0 ls9 ws15">\uf346\ue975<span class="blank"> </span><span class="ff9 ws17 v9"> </span></div><div class="t m0 x12 h10 y22 ff8 fs2 fc0 sc0 ls9 ws16">\uf346\ue975\ued55<span class="blank _7"> </span>\uf34c<span class="blank _7"> </span>\ue974\ued3e<span class="blank _8"> </span>\uf346<span class="blank _8"> </span>\ued54<span class="blank"> </span><span class="ff9 ws17"> </span></div><div class="t m0 x13 h10 y23 ff8 fs2 fc0 sc0 ls9 wsd">\uf346\ue975\ued55<span class="blank _8"> </span>\uf346<span class="blank _8"> </span>\ue974\ued3e<span class="blank _7"> </span>\uf34c<span class="blank _7"> </span>\uf346\ued54<span class="blank"> </span><span class="ff9 ws17"> </span></div><div class="t m0 x14 h10 y24 ff8 fs2 fc0 sc0 ls9 wse">\ued54<span class="blank _7"> </span>\uf34c<span class="blank _7"> </span>\ue975\ued55<span class="blank _8"> </span>\uf345<span class="blank _8"> </span>\ue974\ued3e<span class="blank"> </span><span class="ff9 ws17"> </span></div><div class="t m0 x1 h10 y25 ff9 fs2 fc0 sc0 ls9 ws17">Realizando el cambio de variables que mencionamos anteriormente, nos quedará<span class="blank _0"></span>:<span class="blank _3"> </span> </div><div class="t m0 x14 h10 y26 ff8 fs2 fc0 sc0 ls9 wse">\ued55<span class="blank _7"> </span>\uf34c<span class="blank _7"> </span>\ue975\ued54<span class="blank _8"> </span>\uf345<span class="blank _8"> </span>\ue974\ued3e<span class="blank"> </span><span class="ff9 ws17"> </span></div><div class="t m0 x1 h10 y27 ff9 fs2 fc0 sc0 ls9 ws17">Es decir que, la función inversa es: </div></div><div class="c x1 y28 w8 h14"><div class="t m0 x15 h2 y29 ff2 fs0 fc0 sc0 ls9 ws17">APELLIDO: </div></div><div class="c x16 y2a w9 h15"><div class="t m0 xb h2 y2b ff2 fs0 fc0 sc0 ls9 ws17">CALIFICACIÓN:<span class="blank _0"></span> </div></div><div class="c x1 y2c w8 h16"><div class="t m0 xb h2 y14 ff2 fs0 fc0 sc0 ls9 ws17">NOMBRE: </div></div><div class="c x1 y2a w8 h16"><div class="t m0 xb h2 y14 ff2 fs0 fc0 sc0 ls9 ws17">DNI (registrado en S<span class="blank _0"></span>IU Guaraní): </div></div><div class="c x1 y2d w8 h17"><div class="t m0 xb h2 y10 ff2 fs0 fc0 sc0 ls9 ws17">E-MAIL: </div></div><div class="c x16 y2e w9 h18"><div class="t m0 xb h2 y2f ff2 fs0 fc0 sc0 ls9 ws17">DOCENTE (nombre<span class="blank _0"></span> y apellido): </div></div><div class="c x1 y30 w8 h16"><div class="t m0 xb h2 y14 ff2 fs0 fc0 sc0 ls9 ws17">TEL: </div></div><div class="c x1 y2e w8 h16"><div class="t m0 xb h2 y14 ff2 fs0 fc0 sc0 ls9 ws17">AULA: </div></div><div class="c x0 y31 wa h19"><div class="t m0 x15 h1a y32 ff4 fs3 fc1 sc0 ls9 ws17"><span class="fc2 sc0"> </span></div></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 x17 y33 wb h1b" alt="" src="https://files.passeidireto.com/b6432c13-20c3-4467-a9e4-a38dbf1ec503/bg2.png"><div class="c x0 y1 w2 h0"><div class="t m0 x18 h11 y34 ff8 fs2 fc0 sc0 ls7">\ued42<span class="fs7 ls9 ws18 v1">\uf13f\uf135<span class="blank"> </span></span><span class="ls0 v2">\udb80\udddb</span><span class="ls8">\ued54<span class="lsd v2">\udb80\udddc</span><span class="ls9 ws19">\uf34c<span class="blank _7"> </span>\ue975\ued54<span class="blank _8"> </span>\uf345<span class="blank _8"> </span>\ue974\ued3e<span class="blank"> </span><span class="ff9 ws17"> </span></span></span></div><div class="t m0 x1 h11 y35 ff9 fs2 fc0 sc0 ls9 ws17">Como <span class="blank _6"> </span>sabemos <span class="blank _6"> </span>que <span class="blank _9"> </span><span class="ff8 ls6">\ued42<span class="ls0 v2">\udb80\udddb</span><span class="ls9 wse">\uf346\ued3e<span class="blank"> </span><span class="ls2 v2">\udb80\udddc</span><span class="wsf">\uf34c<span class="blank _7"> </span>\ued42<span class="blank"> </span><span class="fs7 ws18 v1">\uf13f\uf135<span class="blank"> </span></span><span class="ls0 v2">\udb80\udddb</span><span class="ws11">\ued3e<span class="blank"> </span>\uf346<span class="blank"> </span>\ue973<span class="ws4 v2">\udb80\udddc</span></span></span></span></span>, <span class="blank _6"> </span>si <span class="blank _9"> </span>evaluamos <span class="blank _6"> </span>en <span class="blank _6"> </span>cada <span class="blank _6"> </span>mie<span class="blank _3"> </span>mbro <span class="blank _6"> </span>de <span class="blank _6"> </span>la <span class="blank _9"> </span>ig<span class="blank _0"></span>ualdad <span class="blank _9"> </span>y <span class="blank _6"> </span>luego <span class="blank _6"> </span>despejamos, </div><div class="t m0 x1 h10 y36 ff9 fs2 fc0 sc0 ls9 ws1a">pod<span class="ffa ws17">remos obtener \u201c<span class="ff8 lse">\ued3e</span>\u201d y por lo tanto la función inversa pedida:<span class="ff9"> </span></span></div><div class="t m0 x19 h11 y37 ff8 fs2 fc0 sc0 ls7">\ued42<span class="fs7 ls9 ws18 v1">\uf13f\uf135<span class="blank"> </span></span><span class="ls0 v2">\udb80\udddb</span><span class="ls9 ws11">\ued3e<span class="blank"> </span>\uf346<span class="blank"> </span>\ue973<span class="lsf v2">\udb80\udddc</span><span class="ws1b">\uf34c<span class="blank _7"> </span>\ue603\ue975\ue7e4<span class="blank"> </span><span class="ls0 v2">\udb80\udddb</span></span>\ued3e<span class="blank"> </span>\uf346<span class="blank"> </span>\ue973<span class="ls10 v2">\udb80\udddc</span><span class="wse">\uf345<span class="blank _8"> </span>\ue974\ued3e<span class="blank"> </span><span class="ff9 ws17"> </span></span></span></div><div class="t m0 xf h11 y38 ff8 fs2 fc0 sc0 ls7">\ued42<span class="fs7 ls9 ws18 v1">\uf13f\uf135<span class="blank"> </span></span><span class="ls0 v2">\udb80\udddb</span><span class="ls9 ws11">\ued3e<span class="blank _8"> </span>\uf346<span class="blank"> </span>\ue973<span class="lsd v2">\udb80\udddc</span>\uf34c<span class="blank _7"> </span>\ue975\ued3e<span class="blank"> </span>\uf346<span class="blank"> </span>\ue975<span class="blank"> </span>\uf345<span class="blank"> </span>\ue974\ued3e<span class="blank _3"> </span><span class="ff9 ws17"> </span></span></div><div class="t m0 x1a h11 y39 ff8 fs2 fc0 sc0 ls7">\ued42<span class="fs7 ls9 ws18 v1">\uf13f\uf135<span class="blank"> </span></span><span class="ls0 v2">\udb80\udddb</span><span class="ls9 ws1c">\ued3e<span class="blank"> </span>\uf346<span class="blank"> </span>\ue973<span class="ls2 v2">\udb80\udddc</span><span class="ws11">\uf34c<span class="blank _7"> </span>\ue977\ued3e<span class="blank _a"> </span>\uf346<span class="blank"> </span>\ue975<span class="ff9 ws17"> </span></span></span></div><div class="t m0 x1b h10 y3a ff9 fs2 fc0 sc0 ls9 ws17"> </div><div class="t m0 x17 h12 y3b ff8 fs2 fc0 sc0 ls6">\ued42<span class="ls0 v2">\udb80\udddb</span><span class="ls9 wse">\uf346\ued3e<span class="blank"> </span><span class="ls4 v2">\udb80\udddc</span><span class="ls11">\uf34c</span><span class="ws11 v8">\ue974\ued3e<span class="blank _8"> </span>\uf346<span class="blank"> </span>\udb80\udddb<span class="blank _3"> </span>\uf346\ued3e\udb80\udddc</span></span></div><div class="t m0 x1c h13 y3c ff8 fs2 fc0 sc0 ls9 ws1d">\uf346\ue975<span class="blank"> </span><span class="ff9 ws17 v9"> </span></div><div class="t m0 x8 h12 y3d ff8 fs2 fc0 sc0 ls6">\ued42<span class="ls0 v2">\udb80\udddb</span><span class="ls9 ws1e">\uf346\ued3e<span class="blank"> </span><span class="ls2 v2">\udb80\udddc</span><span class="ls12">\uf34c</span><span class="ws4 v8">\ue975\ued3e</span></span></div><div class="t m0 x1c h13 y3e ff8 fs2 fc0 sc0 ls9 ws4">\uf346\ue975<span class="ff9 ws17 v9"> </span></div><div class="t m0 x8 h10 y3f ff8 fs2 fc0 sc0 ls6">\ued42<span class="ls0 v2">\udb80\udddb</span><span class="ls9 ws1e">\uf346\ued3e<span class="blank"> </span><span class="ls4 v2">\udb80\udddc</span><span class="wse">\uf34c<span class="blank _7"> </span>\uf346\ued3e<span class="ff9 ws17"> </span></span></span></div><div class="t m0 x1b h10 y40 ff9 fs2 fc0 sc0 ls9 ws17"> </div><div class="t m0 x1 h10 y41 ff9 fs2 fc0 sc0 ls9 ws17">Es decir que: </div><div class="t m0 x1d h11 y42 ff8 fs2 fc0 sc0 ls7">\ued42<span class="fs7 ls9 ws18 v1">\uf13f\uf135<span class="blank"> </span></span><span class="ls0 v2">\udb80\udddb</span><span class="ls9 ws11">\ued3e<span class="blank _8"> </span>\uf346<span class="blank"> </span>\ue973<span class="ls2 v2">\udb80\udddc</span><span class="ws1f">\uf34c<span class="blank _7"> </span>\ued42<span class="blank"> </span>\udb80\udddb\ued3e\udb80\udddc<span class="blank"> </span><span class="ff9 ws17">, entonces </span><span class="wse">\ue977\ued3e<span class="blank _8"> </span>\uf346<span class="blank _8"> </span>\ue975<span class="blank _a"> </span>\uf34c<span class="blank _7"> </span>\uf346\ued3e<span class="blank"> </span><span class="ff9 ws17"> </span></span></span></span></div><div class="t m0 x10 h10 y43 ff8 fs2 fc0 sc0 ls9 ws1c">\ue977\ued3e<span class="blank _8"> </span>\uf345<span class="blank"> </span>\ued3e<span class="blank _7"> </span>\uf34c<span class="blank _7"> </span>\ue975<span class="ff9 ws17"> </span></div><div class="t m0 x1e h10 y44 ff8 fs2 fc0 sc0 ls9 ws6">\ue978\ued3e<span class="blank _7"> </span>\uf34c<span class="blank"> </span>\ue975<span class="ff9 ws17"> </span></div><div class="t m0 x1f h12 y45 ff8 fs2 fc0 sc0 ls9 wsa">\ued3e<span class="blank"> </span>\uf34c<span class="blank"> </span><span class="v8">\ue973</span></div><div class="t m0 x20 h13 y46 ff8 fs2 fc0 sc0 ls9 ws4">\ue974<span class="ff9 ws17 v9"> </span></div><div class="t m0 x1 h11 y47 ff9 fs2 fc0 sc0 ls9 ws17">Reemplazando en <span class="ff8 ls7">\ued42<span class="fs7 ls9 ws18 v1">\uf13f\uf135<span class="blank"> </span></span><span class="ls0 v2">\udb80\udddb</span><span class="ls8">\ued54<span class="ls4 v2">\udb80\udddc</span><span class="ls9 ws19">\uf34c<span class="blank _7"> </span>\ue975\ued54<span class="blank _a"> </span>\uf345<span class="blank _8"> </span>\ue974\ued3e</span></span></span>, resultará: </div><div class="t m0 x1a h12 y48 ff8 fs2 fc0 sc0 ls7">\ued42<span class="fs7 ls9 ws18 v1">\uf13f\uf135<span class="blank"> </span></span><span class="ls0 v2">\udb80\udddb</span><span class="ls8">\ued54<span class="ls2 v2">\udb80\udddc</span><span class="ls9 ws20">\uf34c<span class="blank _7"> </span>\ue975\ued54<span class="blank _8"> </span>\uf345<span class="blank _8"> </span>\ue974\ue603\ue7e4\ue603\ue603<span class="blank"> </span><span class="v8">\ue973</span></span></span></div><div class="t m0 x21 h1c y49 ff8 fs2 fc0 sc0 ls9 ws4">\ue974<span class="ff9 ws17 v9"> </span></div><div class="t m0 x17 h11 y4a ff8 fs2 fc0 sc0 ls7">\ued42<span class="fs7 ls9 ws18 v1">\uf13f\uf135<span class="blank"> </span></span><span class="ls0 v2">\udb80\udddb</span><span class="ls8">\ued54<span class="ls2 v2">\udb80\udddc</span><span class="ls9 ws11">\uf34c<span class="blank _7"> </span>\ue975\ued54<span class="blank"> </span>\uf345<span class="blank"> </span>\ue973<span class="ff9 ws17"> </span></span></span></div></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 y4b wc h1d" alt="" src="https://files.passeidireto.com/b6432c13-20c3-4467-a9e4-a38dbf1ec503/bg3.png"><div class="c x0 y1 w2 h0"><div class="t m0 x1 h6 y4c ff3 fs3 fc0 sc0 ls9 ws17"> </div><div class="t m0 x1 h6 y4d ff1 fs0 fc0 sc0 ls9 ws17">MATEMÁTICA (6<span class="blank _0"></span><span class="lsa ws0">1)<span class="ff2 ls9 ws17"> Cátedra A: <span class="blank _0"></span>NUÑEZ, MYRIA<span class="blank _0"></span>M<span class="ff1"> RECUPE<span class="blank _0"></span>RATORIO 1° PARCIAL<span class="blank _0"></span><span class="ff3 fs3"> </span></span></span></span></div><div class="t m0 x1 h2 y4e ff2 fs0 fc0 sc0 ls9 ws17"> </div><div class="t m0 x1 h2 y4f ff2 fs0 fc0 sc0 ls9 ws17">APELLIDO Y NOMB<span class="blank _0"></span>RE: <span class="blank _0"></span> <span class="blank _0"></span> <span class="blank _0"></span> <span class="blank _0"></span> DNI:<span class="ff1"> <span class="blank _b"> </span> <span class="blank _2"> </span> <span class="blank _2"> </span> <span class="blank _2"> </span> <span class="blank _2"> </span> <span class="blank _2"> </span>TEMA 4 </span></div><div class="t m0 x3 h2 y50 ff2 fs0 fc0 sc0 ls9 ws17">Hoja 2 de 4 </div><div class="t m0 x3 h2 y51 ff2 fs0 fc0 sc0 ls9 ws17"> </div><div class="t m0 x1 he y52 ff7 fs2 fc0 sc0 ls9 ws17">2. Hallar el conjunto de positividad de la función <span class="ff8 ls13">\uee8c<span class="ls0 v2">\udb80\udddb</span><span class="ls14">\uee9e<span class="ls4 v2">\udb80\udddc</span><span class="ls15">\uf34c<span class="fs7 ls9 ws8 v3">\uf13f\uf0db</span></span></span></span></div><div class="t m0 x22 hf y53 ff8 fs7 fc0 sc0 ls16">\uee9e<span class="fs8 ls17 va">\uf0db</span><span class="ls9 ws21">\uf13e\uf0da<span class="blank"> </span><span class="fs2 ws11 v4">\uf345<span class="blank"> </span>\uf0da<span class="ff7 ws17"> </span></span></span></div><div class="t m0 x1 h1e y54 ff5 fs3 fc0 sc0 ls9 ws17"> </div><div class="t m0 x23 h10 y55 ff9 fs2 fc0 sc0 ls9 ws17">Solución: </div><div class="t m0 x1 h10 y56 ff9 fs2 fc0 sc0 ls9 ws17">Para <span class="blank _5"> </span>resolver <span class="blank _5"> </span>esta <span class="blank _6"> </span>actividad <span class="blank _5"> </span>se <span class="blank _5"> </span>trabajarán <span class="blank _5"> </span>los <span class="blank _6"> </span>siguientes <span class="blank _5"> </span>contenidos <span class="blank _6"> </span>abordados <span class="blank _5"> </span>durante <span class="blank _5"> </span>el <span class="blank _5"> </span>cuatrime<span class="blank _3"> </span>stre: <span class="blank _5"> </span>Números </div><div class="t m0 x1 h10 y57 ff9 fs2 fc0 sc0 ls9 ws17">Reales- <span class="blank _0"></span>Ecuaciones e <span class="blank _0"></span>inecuaciones- intervalo- <span class="blank _0"></span>Funciones- F<span class="blank _0"></span>unciones cuadráticas- <span class="blank _0"></span>Funciones <span class="blank _0"></span>polinómicas -Estudio </div><div class="t m0 x1 h10 y58 ff9 fs2 fc0 sc0 ls9 ws17">de una función. </div><div class="t m0 x1 h10 y59 ff9 fs2 fc0 sc0 ls9 ws17">Antes <span class="blank _3"> </span>de <span class="blank _5"> </span>comenzar <span class="blank _5"> </span>con <span class="blank _3"> </span>el <span class="blank _5"> </span>análisis <span class="blank _3"> </span>de <span class="blank _5"> </span>la <span class="blank _3"> </span>función <span class="blank _5"> </span>vamos <span class="blank _3"> </span>a <span class="blank _5"> </span>determinar <span class="blank _3"> </span>el <span class="blank _5"> </span>dominio <span class="blank _5"> </span>de <span class="blank _3"> </span>la <span class="blank _5"> </span>misma, <span class="blank _3"> </span>para <span class="blank _5"> </span>ello <span class="blank _3"> </span>debemos </div><div class="t m0 x1 h10 y5a ff9 fs2 fc0 sc0 ls9 ws17">recordar <span class="blank _0"></span>que <span class="blank _c"></span>las <span class="blank _c"></span>funciones rac<span class="blank _0"></span>ionales <span class="blank _c"></span>ti<span class="blank _3"> </span>enen <span class="blank _c"></span>como <span class="blank _0"></span>puntos <span class="blank _0"></span>restringidos <span class="blank _c"></span>aquellos valore<span class="blank _0"></span>s <span class="blank _0"></span>que <span class="blank _c"></span>anulan e<span class="blank _0"></span>l <span class="blank _0"></span>denominador, </div><div class="t m0 x1 h10 y5b ff9 fs2 fc0 sc0 ls9 ws17">por lo tanto: </div><div class="t m0 x24 h11 y5c ff8 fs2 fc0 sc0 ls18">\ued54<span class="fs7 ls19 v1">\uf136</span><span class="ls9 ws1c">\uf345<span class="blank"> </span>\ue973<span class="blank _a"> </span>\uf34d<span class="blank _7"> </span>\ue972<span class="ff9 ws17"> </span></span></div><div class="t m0 x25 h11 y5d ff8 fs2 fc0 sc0 ls18">\ued54<span class="fs7 ls1a v1">\uf136</span><span class="ls9 ws22">\uf34d<span class="blank _7"> </span>\uf346\ue973\ue603\ue603\ue603\ue603\ued54<span class="blank _7"> </span>\uebd1<span class="blank _7"> </span>\ued34<span class="blank"> </span><span class="ff9 ws17"> </span></span></div><div class="t m0 x1 h10 y5e ff9 fs2 fc0 sc0 ls9 ws17">De la expresión anterior determinamos<span class="ff8 ws23">\ue7e3\ue603\ued26\ued4b\ued49<span class="blank"> </span>\ue603\ued42<span class="blank _d"> </span>\uf34c<span class="blank _7"> </span>\ue603\ued34</span> </div><div class="t m0 x1 h10 y5f ff9 fs2 fc0 sc0 ls9 ws17">Para determinar los c<span class="blank _0"></span>onjuntos de positividad de la función debemos analizar su comporta<span class="blank _0"></span>miento y recordar que<span class="blank _0"></span> se </div><div class="t m0 x1 h10 y60 ff9 fs2 fc0 sc0 ls9 ws17">denomina <span class="blank _3"> </span>conjunto <span class="blank _5"> </span>de <span class="blank _5"> </span>positividad <span class="blank _3"> </span>de <span class="blank _5"> </span>la <span class="blank _3"> </span>función <span class="blank _3"> </span>al <span class="blank _5"> </span>conjunto <span class="blank _5"> </span>de <span class="blank _3"> </span>valores <span class="blank _5"> </span>del <span class="blank _3"> </span>dominio <span class="blank _5"> </span>para <span class="blank _3"> </span>los <span class="blank _5"> </span>cuales <span class="blank _5"> </span>la <span class="blank _5"> </span>función <span class="blank _3"> </span>es </div><div class="t m0 x1 h10 y61 ff9 fs2 fc0 sc0 ls9 ws17">positiva. </div><div class="t m0 x10 he y62 ff9 fs2 fc0 sc0 ls9 ws17"> <span class="ff8 ls6">\ued42<span class="ls0 v2">\udb80\udddb</span><span class="ls8">\ued54<span class="ls2 v2">\udb80\udddc</span><span class="ls1b">\uf34c<span class="fs7 ls9 ws8 v3">\uf13f\uf136</span></span></span></span></div><div class="t m0 x26 h1f y63 ff8 fs7 fc0 sc0 ls1c">\uf1eb<span class="fs8 ls1d va">\uf22e</span><span class="ls9 ws24">\uf13e\uf135<span class="blank"> </span><span class="fs2 ws11 v4">\uf345<span class="blank"> </span>\ue973<span class="ff9 ws17"> </span></span></span></div><div class="t m0 x1 h10 y64 ff9 fs2 fc0 sc0 ls9 ws17">En la gráfica de la función <span class="ff8 ws25">\ued42<span class="blank"> </span>\udb80\udddb\ued54<span class="blank"> </span>\udb80\udddc<span class="blank"> </span></span> se puede observar que las dos raíces de la función son el punto </div><div class="t m0 x1 h10 y65 ff8 fs2 fc0 sc0 ls9 ws26">\udb80\udddb\uf346\ue973\ue7e2<span class="blank"> </span>\ue972\udb80\udddc\ue603\ued55\ue603\udb80\udddb<span class="blank _3"> </span>\ue973\ue7e2<span class="blank"> </span>\ue972\udb80\udddc<span class="ff9 ws17">. Por lo tanto, utilizando la de<span class="blank _0"></span>finición de conjunto de positividad se deduce: </span></div><div class="t m0 x12 h20 y66 ff8 fs2 fc0 sc0 ls9 ws4">\uf346\ue974</div><div class="t m0 x18 h13 y67 ff8 fs2 fc0 sc0 ls18">\ued54<span class="fs7 ls19 vb">\uf136</span><span class="ls9 ws27">\uf345<span class="blank"> </span>\ue973<span class="blank"> </span><span class="ws11 v9">\uf345<span class="blank"> </span>\ue973<span class="blank _7"> </span>\uf350<span class="blank _a"> </span>\ue972<span class="blank _3"> </span><span class="ff9 ws17"> </span></span></span></div><div class="t m0 x17 h20 y68 ff8 fs2 fc0 sc0 ls9 ws4">\uf346\ue974</div><div class="t m0 x27 h21 y69 ff8 fs2 fc0 sc0 ls18">\ued54<span class="fs7 ls19 vb">\uf136</span><span class="ls9 ws11">\uf345<span class="blank"> </span>\ue973<span class="blank"> </span><span class="ls5 v9">\uf345</span><span class="ls1e vc">\ued54</span><span class="fs7 ls19 vd">\uf136</span><span class="vc">\uf345<span class="blank"> </span>\ue973</span></span></div><div class="t m0 x28 h13 y69 ff8 fs2 fc0 sc0 ls1e">\ued54<span class="fs7 ls19 vb">\uf136</span><span class="ls9 ws11">\uf345<span class="blank"> </span>\ue973<span class="blank _a"> </span><span class="ws28 v9">\uf350<span class="blank"> </span>\ue972<span class="blank _3"> </span><span class="ff9 ws17"> </span></span></span></div><div class="t m0 x17 h11 y6a ff8 fs2 fc0 sc0 ls9 ws29">\uf346\ue974<span class="blank _8"> </span>\uf345<span class="blank _8"> </span>\ued54<span class="blank"> </span><span class="fs7 ls1f v1">\uf136</span><span class="ws2a">\uf345<span class="blank"> </span>\ue973</span></div><div class="t m0 x24 h13 y6b ff8 fs2 fc0 sc0 ls18">\ued54<span class="fs7 ls19 vb">\uf136</span><span class="ls9 ws1c">\uf345<span class="blank"> </span>\ue973<span class="blank _e"> </span><span class="ws28 v9">\uf350<span class="blank"> </span>\ue972<span class="ff9 ws17"> </span></span></span></div><div class="t m0 x24 h11 y6c ff8 fs2 fc0 sc0 ls18">\ued54<span class="fs7 ls19 v1">\uf136</span><span class="ls9 ws1c">\uf346<span class="blank"> </span>\ue973</span></div><div class="t m0 x24 h13 y6d ff8 fs2 fc0 sc0 ls18">\ued54<span class="fs7 ls19 vb">\uf136</span><span class="ls9 ws1c">\uf345<span class="blank"> </span>\ue973<span class="blank _a"> </span><span class="ws2b v9">\uf350<span class="blank"> </span>\ue972<span class="ff9 ws17"> </span></span></span></div><div class="t m0 x1 h10 y6e ff9 fs2 fc0 sc0 ls9 ws17">Recordemos <span class="blank _6"> </span>que <span class="blank _9"> </span>el <span class="blank _9"> </span>cociente <span class="blank _9"> </span>de <span class="blank _6"> </span>dos <span class="blank _9"> </span>expresiones <span class="blank _9"> </span>es <span class="blank _9"> </span>may<span class="blank _0"></span>or <span class="blank _9"> </span>a <span class="blank _9"> </span>cero <span class="blank _6"> </span>sí <span class="blank _9"> </span>ambas <span class="blank _9"> </span>expresiones <span class="blank _6"> </span>son <span class="blank _9"> </span>positivas <span class="blank _9"> </span>o <span class="blank _9"> </span>ambas </div><div class="t m0 x1 h10 y6f ff9 fs2 fc0 sc0 ls9 ws17">negativas, es decir que el numerador es mayor a<span class="blank _0"></span> cero <span class="blank _3"> </span>y e<span class="blank _0"></span>l denominador es ma<span class="blank _3"> </span>y<span class="blank _0"></span>or a cero, o viceversa. <span class="blank _3"> </span> </div><div class="t m0 x1 h10 y70 ff9 fs2 fc0 sc0 ls9 ws17">Opción 1: +/+ </div><div class="t m0 x29 h11 y71 ff8 fs2 fc0 sc0 ls18">\ued54<span class="fs7 ls19 v1">\uf136</span><span class="ls9 ws29">\uf346<span class="blank _8"> </span>\ue973<span class="blank _a"> </span>\uf350<span class="blank _7"> </span>\ue972\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603<span class="blank _8"> </span>\uebe8<span class="blank _8"> </span>\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ued54<span class="blank"> </span><span class="fs7 ls19 v1">\uf136</span>\uf345<span class="blank _8"> </span>\ue973<span class="blank _a"> </span>\uf350<span class="blank _7"> </span>\ue972\ue603<span class="blank _7"> </span>\ueb5c<span class="blank _9"> </span>\ue603<span class="blank _9"> </span>\ued54<span class="blank"> </span><span class="fs7 ls1a v1">\uf136</span><span class="ws2b">\uf350<span class="blank"> </span>\uf346\ue973<span class="ff9 ws17"> </span></span></span></div><div class="t m0 x1 h10 y72 ff8 fs2 fc0 sc0 ls9 ws4">\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603<span class="ls20 v2">\ue801</span><span class="ls8">\ued54<span class="ls21 v2">\ue801</span></span><span class="ws2c">\uf350<span class="blank"> </span>\ue973\ue603\ue603\ue603\ue603<span class="ff9 ws17"> El conjunto de números Reales </span></span></div><div class="t m0 x1 h10 y73 ff9 fs2 fc0 sc0 ls9 ws17">Pues una expresión elevada al cuadrado va dar por resultado un número positivo y<span class="blank _0"></span> este es mayor a -1<span class="blank _3"> </span>. </div><div class="t m0 x1 h10 y74 ff9 fs2 fc0 sc0 ls9 ws17">De la expresión anterior se deduce: </div><div class="t m0 x2a h22 y75 ff8 fs2 fc0 sc0 ls20">\ue801<span class="ls8 v7">\ued54</span><span class="ls22">\ue801<span class="ls9 ws2b v7">\uf350<span class="blank"> </span>\ue973\ue603\ue603\ue603\ue603\ue603\ue603<span class="blank"> </span>\ueb5c<span class="blank"> </span>\ue603\ue603\ue603\ue603\ued54<span class="blank _7"> </span>\uf350<span class="blank"> </span>\ue973\ue603\ue603\ue603\ue603\ue603\ue603\uec80\ue603\ue603\ued54<span class="blank _d"> </span>\uf34f<span class="blank"> </span>\uf346\ue973\ue603\ue603\ued35\ued4b\ued48\ued51\ued3f\ued45\ue6d7\ued4a\ue603\ue973<span class="blank"> </span>\uf34c<span class="blank"> </span></span><span class="ls0">\udb80\udddb<span class="ls9 ws2d v7">\uf346\ue9bb\ue7e2<span class="blank"> </span>\uf346<span class="blank _3"> </span>\ue973</span><span class="ls10">\udb80\udddc<span class="ls23 v7">\uebeb</span></span>\udb80\udddb<span class="ls9 ws2e v7">\ue973\ue7e2<span class="blank"> </span>\uf345\ue9bb</span>\udb80\udddc<span class="ff9 ls9 ws17 v7"> </span></span></span></div></div><div class="c x0 y76 wa h23"><div class="t m0 x15 h1a y32 ff4 fs3 fc1 sc0 ls9 ws17"><span class="fc2 sc0"> </span></div></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"><div class="c x0 y1 w2 h0"><div class="t m0 x1 h10 y77 ff9 fs2 fc0 sc0 ls9 ws17">Opción 2: -/- </div><div class="t m0 x29 h11 y78 ff8 fs2 fc0 sc0 ls18">\ued54<span class="fs7 ls19 v1">\uf136</span><span class="ls9 ws29">\uf346<span class="blank _8"> </span>\ue973<span class="blank _a"> </span>\uf34f<span class="blank _7"> </span>\ue972\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603<span class="blank _8"> </span>\uebe8<span class="blank _8"> </span>\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ued54<span class="blank"> </span><span class="fs7 ls19 v1">\uf136</span>\uf345<span class="blank _8"> </span>\ue973<span class="blank _a"> </span>\uf34f<span class="blank _7"> </span>\ue972\ue603<span class="blank _7"> </span>\ueb5c<span class="blank _9"> </span>\ue603<span class="blank _9"> </span>\ued54<span class="blank"> </span><span class="fs7 ls1a v1">\uf136</span><span class="ws2b">\uf34f<span class="blank"> </span>\uf346\ue973<span class="ff9 ws17"> </span></span></span></div><div class="t m0 x1 h10 y79 ff8 fs2 fc0 sc0 ls9 ws4">\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603<span class="ls20 v2">\ue801</span><span class="ls8">\ued54<span class="ls24 v2">\ue801</span></span><span class="ws28">\uf350<span class="blank"> </span>\ue973\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603<span class="blank _3"> </span>\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603\ue603<span class="ff9 ws17">(Conjunto vacío) </span></span></div><div class="t m0 x1 h10 y7a ff9 fs2 fc0 sc0 ls9 ws17">Pues una expresión elevada al cuadrado va dar por resultado un númer<span class="blank _0"></span>o positivo <span class="blank _3"> </span>y<span class="blank _c"></span> <span class="blank _3"> </span>este nunc<span class="blank _3"> </span>a es menor a -1. </div><div class="t m0 x1 h10 y7b ff9 fs2 fc0 sc0 ls9 ws17">De la expresión anterior se deduce: </div><div class="t m0 x2b h22 y7c ff8 fs2 fc0 sc0 ls20">\ue801<span class="ls8 v7">\ued54</span><span class="ls22">\ue801<span class="ls9 ws2b v7">\uf350<span class="blank"> </span>\ue973\ue603\ue603\ue603\ue603\ue603\ue603<span class="blank"> </span>\ueb5c<span class="blank"> </span>\ue603\ue603\ue603\ue603\ued54<span class="blank _7"> </span>\uf350<span class="blank"> </span>\ue973\ue603\ue603\ue603\ue603\ue603\ue603\uec80\ue603\ue603\ued54<span class="blank _d"> </span>\uf34f<span class="blank"> </span>\uf346\ue973\ue603<span class="ff9 ws17"> </span></span></span></div><div class="t m0 x2c h10 y7d ff8 fs2 fc0 sc0 ls9 ws2f">\ued35\ued4b\ued48\ued51\ued3f\ued45\ue6d7\ued4a\ue603\ue974<span class="blank _7"> </span>\uf34c<span class="blank _7"> </span><span class="ls0 v2">\udb80\udddb</span><span class="ws2d">\uf346\ue973\ue7e2<span class="blank"> </span>\ue973<span class="ls10 v2">\udb80\udddc</span><span class="ws30">\uebea<span class="blank"> </span>\uebce<span class="blank _a"> </span>\uf34c<span class="blank _7"> </span><span class="ls1 v2">\udb80\udddd</span><span class="ls25">\uebce</span><span class="ws4 v2">\udb80\uddde</span><span class="ff9 ws17"> </span></span></span></div><div class="t m0 x1 h10 y7e ff9 fs2 fc0 sc0 ls9 ws17"> </div><div class="t m0 x1 h10 y7f ff9 fs2 fc0 sc0 ls9 ws17">Por lo tanto, el conjunto de positividad es la solución 1 </div><div class="t m0 x2d h11 y80 ff8 fs2 fc0 sc0 ls26">\ued25<span class="fs7 ls27 v1">\uf13e</span><span class="ls28">\uf34c<span class="ls0 v2">\udb80\udddb</span><span class="ls9 ws2d">\uf346\ue9bb\ue7e2<span class="blank"> </span>\uf346\ue973<span class="ls10 v2">\udb80\udddc</span><span class="ls23">\uebeb<span class="ls0 v2">\udb80\udddb</span></span><span class="ws2e">\ue973\ue7e2<span class="blank"> </span>\uf345\ue9bb<span class="ws4 v2">\udb80\udddc</span><span class="ff9 ws17"> </span></span></span></span></div><div class="t m0 x1 h10 y81 ff9 fs2 fc0 sc0 ls9 ws17"> </div><div class="t m0 x1 h1e y3a ff5 fs3 fc0 sc0 ls9 ws17"> </div><div class="t m0 x1 h1e y82 ff5 fs3 fc0 sc0 ls9 ws17"> <span class="blank _f"> </span> </div></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 x0 y83 wd h24" alt="" src="https://files.passeidireto.com/b6432c13-20c3-4467-a9e4-a38dbf1ec503/bg5.png"><div class="c x0 y1 w2 h0"><div class="t m0 x1 h25 y84 ff5 fs6 fc0 sc0 ls9 ws17"> </div><div class="t m0 x1 h2 y85 ff1 fs0 fc0 sc0 ls9 ws17">MATEMÁTICA (6<span class="blank _0"></span><span class="lsa ws0">1)<span class="ff2 ls9 ws17"> Cátedra A: <span class="blank _0"></span>NUÑEZ, MYRIA<span class="blank _0"></span>M<span class="ff1"> RECUPER<span class="blank _0"></span>ATORIO 1° PARCIAL<span class="blank _c"></span> </span></span></span></div><div class="t m0 x1 h2 y86 ff2 fs0 fc0 sc0 ls9 ws17"> </div><div class="t m0 x1 h2 y87 ff2 fs0 fc0 sc0 ls9 ws17">APELLIDO Y NOMB<span class="blank _0"></span>RE: <span class="blank _0"></span> <span class="blank _0"></span> <span class="blank _0"></span> <span class="blank _c"></span> DNI:<span class="ff1"> <span class="blank _10"> </span> <span class="blank _2"> </span> <span class="blank _2"> </span> <span class="blank _2"> </span> <span class="blank _2"> </span> <span class="blank _2"> </span>TEMA 4 </span></div><div class="t m0 x3 h2 y88 ff2 fs0 fc0 sc0 ls9 ws17">Hoja 3 de 4 </div><div class="t m0 x3 h2 y89 ff2 fs0 fc0 sc0 ls9 ws17"> </div><div class="t m0 x2 h2 y8a ff1 fs0 fc0 sc0 ls29 ws17"> <span class="ff7 fs2 ls9 ve">3. <span class="blank _3"> </span>Hallar <span class="blank _5"> </span>el <span class="blank _3"> </span>valor <span class="blank _3"> </span>de <span class="blank _5"> </span><span class="ff8 ws31">\uee89\ue603<span class="blank"> </span>\uebd0<span class="blank _7"> </span>\ueb39</span> <span class="blank _5"> </span>para <span class="blank _3"> </span>que <span class="blank _3"> </span>la <span class="blank _5"> </span>función <span class="blank _5"> </span><span class="ff8 ws4">\uee8c<span class="ls0 v2">\udb80\udddb</span><span class="ls1">\uee9e<span class="ls2a v2">\udb80\udddc</span><span class="ws32">\uf34c<span class="blank"> </span>\uf346\uee9e<span class="fs7 ls2b v1">\uf0db</span><span class="ls5 wsc">\ue603<span class="blank _11"></span>\uf345\uee9e\uf345\uee89<span class="blank _4"></span><span class="ff7 ls9 ws17"> <span class="blank _3"> </span>tenga <span class="blank _3"> </span>u<span class="blank _3"> </span>n <span class="blank _3"> </span>único <span class="blank _5"> </span>punto <span class="blank _3"> </span>de <span class="blank _3"> </span>intersección </span></span></span></span></span></span></div><div class="t m0 x1 h4 y8b ff7 fs2 fc0 sc0 ls9 ws17">con la función <span class="ff8 ws33">\uee8d\udb80\udddb\uee9e\udb80\udddc<span class="blank"> </span>\uf34c<span class="blank _7"> </span><span class="ls25 ws34">\uf0de\uee9e<span class="blank"> </span></span><span class="ws11">\uf345<span class="blank"> </span>\uf0db</span></span> </div><div class="t m0 x1 h10 y8c ff9 fs2 fc0 sc0 ls9 ws17">Para hallar los puntos en de intersección de las funciones de<span class="blank _0"></span>bemos plantear:<span class="blank _3"> </span> </div><div class="t m0 x2e h10 y8d ff8 fs2 fc0 sc0 ls6">\ued42<span class="ls2c v2">\udb80\udddb</span><span class="ls8">\ued54<span class="ls2 v2">\udb80\udddc</span><span class="ls9 wsd">\uf34c<span class="blank _7"> </span>\ued43\udb80\udddb\ued54<span class="blank"> </span>\udb80\udddc<span class="ff9 ws17"> </span></span></span></div><div class="t m0 x1 h10 y8e ff9 fs2 fc0 sc0 ls9 ws17">Luego, reemplazamos por las fórmulas de<span class="blank _0"></span> las funciones dadas en el enunciado y resulta que:<span class="blank _3"> </span> </div><div class="t m0 x18 h11 y8f ff8 fs2 fc0 sc0 ls9 ws29">\uf346\ued54<span class="blank"> </span><span class="fs7 ls2d v1">\uf136</span><span class="ws11">\ue603<span class="blank _6"> </span>\uf345<span class="blank"> </span>\ued54<span class="blank _a"> </span>\uf345<span class="blank"> </span>\ued3f<span class="blank _d"> </span>\uf34c<span class="blank _7"> </span>\ue977\ued54<span class="blank _8"> </span>\uf345<span class="blank"> </span>\ue974<span class="blank _3"> </span><span class="ff9 ws17"> </span></span></div><div class="t m0 x1 h10 y59 ff9 fs2 fc0 sc0 ls9 ws17">Despejamos y obtenemos que: </div><div class="t m0 x18 h11 y90 ff8 fs2 fc0 sc0 ls9 ws29">\uf346\ued54<span class="blank"> </span><span class="fs7 ls19 v1">\uf136</span><span class="ws11">\uf346<span class="blank"> </span>\ue976\ued54<span class="blank _a"> </span>\uf345<span class="blank"> </span>\ued3f<span class="blank _a"> </span>\uf346<span class="blank"> </span>\ue974<span class="blank _a"> </span>\uf34c<span class="blank _7"> </span>\ue972<span class="ff9 ws17"> </span></span></div><div class="t m0 x1 h10 y91 ff9 fs2 fc0 sc0 ls9 ws17">Aplicamos la fórmula resolvente: </div><div class="t m0 x2f h20 y92 ff8 fs2 fc0 sc0 ls9">\ued54</div><div class="t m0 x19 h26 y93 ff8 fs7 fc0 sc0 ls9 ws35">\uf135\ue7e1\uf136<span class="blank"> </span><span class="fs2 ls28 va">\uf34c</span><span class="fs2 ws36 vf">\ue976<span class="blank"> </span>\uf347<span class="blank"> </span><span class="ws4 v0">\uf3a5<span class="v0">\udb80\udddb\uf346\ue976\udb80\udddc</span></span></span><span class="ls2e v10">\uf136</span><span class="fs2 ws1b vf">\uf346<span class="blank _8"> </span>\ue976\ue7e4<span class="blank"> </span>\udb80\udddb\uf346\ue973\udb80\udddc\ue7e4<span class="blank"> </span>\udb80\udddb\ued3f<span class="blank _a"> </span>\uf346<span class="blank _8"> </span>\ue974\udb80\udddc</span></div><div class="t m0 x30 h27 y94 ff8 fs2 fc0 sc0 ls9 ws37">\uf346\ue974<span class="blank"> </span><span class="ffb ws17 v9"> </span></div><div class="t m0 x1 h10 y95 ff9 fs2 fc0 sc0 ls9 ws17">Resolvemos y resulta: </div><div class="t m0 x27 h20 y96 ff8 fs2 fc0 sc0 ls9">\ued54</div><div class="t m0 x1a h28 y97 ff8 fs7 fc0 sc0 ls9 ws35">\uf135\ue7e1\uf136<span class="blank"> </span><span class="fs2 ls3 va">\uf34c</span><span class="fs2 ws1c vf">\ue976<span class="blank"> </span>\uf347<span class="blank"> </span><span class="ws4 v7">\uf3a5</span><span class="ls2f ws38">\ue973\ue978<span class="blank"> </span><span class="ls9 ws11">\uf345<span class="blank"> </span>\ue976\ue7e4<span class="blank _12"> </span>\udb80\udddb\ued3f<span class="blank _a"> </span>\uf346<span class="blank"> </span>\ue974\udb80\udddc</span></span></span></div><div class="t m0 x9 h27 y98 ff8 fs2 fc0 sc0 ls9 ws39">\uf346\ue974<span class="blank"> </span><span class="ffb ws17 v9"> </span></div><div class="t m0 x1 h10 y99 ff9 fs2 fc0 sc0 ls9 ws17">Como <span class="blank _5"> </span>las <span class="blank _5"> </span>funciones <span class="blank _5"> </span>deben <span class="blank _5"> </span>intersecarse <span class="blank _5"> </span>en <span class="blank _5"> </span>un <span class="blank _5"> </span>punto, <span class="blank _5"> </span>la <span class="blank _5"> </span>ecuación <span class="blank _5"> </span>debe <span class="blank _5"> </span>tener <span class="blank _5"> </span>una <span class="blank _5"> </span>única <span class="blank _5"> </span>solució<span class="blank _5"> </span>n <span class="blank _3"> </span>po<span class="blank _3"> </span>r <span class="blank _5"> </span>lo <span class="blank _5"> </span>que <span class="blank _5"> </span><span class="ff8 ls2f ws38">\ue973\ue978<span class="blank"> </span><span class="ls9">\uf345</span></span></div><div class="t m0 x1 h10 y9a ff8 fs2 fc0 sc0 ls9 ws3a">\ue976\ue7e4<span class="blank"> </span>\udb80\udddb\ued3f<span class="blank _8"> </span>\uf346<span class="blank _8"> </span>\ue974\udb80\udddc<span class="ff9 ws17"> debe ser cero, es decir: </span></div><div class="t m0 x31 h10 y9b ff8 fs2 fc0 sc0 ls2f ws38">\ue973\ue978<span class="blank"> </span><span class="ls9 ws1b">\uf345<span class="blank _8"> </span>\ue976\ue7e4<span class="blank"> </span>\udb80\udddb\ued3f<span class="blank _8"> </span>\uf346<span class="blank _8"> </span>\ue974\udb80\udddc<span class="blank _a"> </span>\uf34c<span class="blank _7"> </span>\ue972<span class="ff9 ws17"> </span></span></div><div class="t m0 x1 h10 y9c ff9 fs2 fc0 sc0 ls9 ws17">Despejamos </div><div class="t m0 x8 h10 y9d ff8 fs2 fc0 sc0 ls9 ws1b">\ue976\ue7e4<span class="blank"> </span><span class="ls0 v2">\udb80\udddb</span><span class="ws11">\ued3f<span class="blank _a"> </span>\uf346<span class="blank"> </span>\ue974<span class="lsf v2">\udb80\udddc</span><span class="ws6">\uf34c<span class="blank"> </span>\uf346<span class="ls2f ws3b">\ue973\ue978</span><span class="ff9 ws17"> </span></span></span></div><div class="t m0 x1e h10 y9e ff8 fs2 fc0 sc0 ls9 ws11">\ued3f<span class="blank _8"> </span>\uf346<span class="blank"> </span>\ue974<span class="blank _7"> </span>\uf34c<span class="blank _7"> </span>\uf346\ue976<span class="ff9 ws17"> </span></div><div class="t m0 x1 h10 y9f ff9 fs2 fc0 sc0 ls9 ws17">Entonces: </div><div class="t m0 x32 h10 ya0 ff8 fs2 fc0 sc0 ls9 wsa">\ued3f<span class="blank _7"> </span>\uf34c<span class="blank"> </span>\uf346<span class="blank _3"> </span>\ue974<span class="ff9 ws17"> </span></div><div class="t m0 x1 h10 ya1 ff9 fs2 fc0 sc0 ls9 ws17"> </div><div class="t m0 x1 h10 ya2 ff9 fs2 fc0 sc0 ls9 ws17">Al resolver el ejercicio utilizamos los conceptos de func<span class="blank _0"></span>ión lineal, función cuadrática <span class="blank _3"> </span>y<span class="blank _0"></span> de ecuaciones cuadráticas.<span class="blank _3"> </span> </div><div class="t m0 x1 h10 ya3 ff9 fs2 fc0 sc0 ls9 ws17"> </div><div class="t m0 x32 h10 ya4 ff9 fs2 fc0 sc0 ls9 ws17"> <span class="blank _f"> </span> </div></div><div class="c x0 ya5 wa h29"><div class="t m0 x15 h1a y32 ff4 fs3 fc1 sc0 ls9 ws17"><span class="fc2 sc0"> </span></div></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 x0 ya6 wd h2a" alt="" src="https://files.passeidireto.com/b6432c13-20c3-4467-a9e4-a38dbf1ec503/bg6.png"><div class="c x0 y1 w2 h0"><div class="t m0 x1 h2 y2 ff1 fs0 fc0 sc0 ls9 ws17">MATEMÁTICA (6<span class="lsa ws0">1)</span><span class="ff2"> Cátedra A: NUÑEZ, MYRIAM</span><span class="ls30"> <span class="ls31"> </span></span>RECUPERATOR<span class="blank _3"> </span>IO 1° PARC<span class="blank _3"> </span>IAL </div><div class="t m0 x1 h2 y3 ff2 fs0 fc0 sc0 ls9 ws17"> </div><div class="t m0 x1 h2 y4 ff2 fs0 fc0 sc0 ls9 ws17">APELLIDO Y NOMB<span class="blank _0"></span>RE: <span class="blank _0"></span> <span class="blank _0"></span> <span class="blank _0"></span> <span class="blank _c"></span> DNI:<span class="ff1"> <span class="blank _10"> </span> <span class="blank _2"> </span> <span class="blank _2"> </span> <span class="blank _2"> </span> <span class="blank _2"> </span> <span class="blank _2"> </span>TEMA 4 </span></div><div class="t m0 x3 h2 y5 ff2 fs0 fc0 sc0 ls9 ws17">Hoja 4 de 4 </div><div class="t m0 x3 h2 ya7 ff2 fs0 fc0 sc0 ls9 ws17"> </div><div class="t m0 x1 h1a ya8 ff4 fs3 fc0 sc0 ls9 ws17"> </div><div class="t m0 x1 he ya9 ff9 fs2 fc0 sc0 ls9 ws17">4. Hallar el valor de <span class="ff8 ls8">\ued47</span> para que la función <span class="ff8 ls6">\ued42<span class="ls0 v2">\udb80\udddb</span><span class="ls8">\ued54<span class="ls2 v2">\udb80\udddc</span><span class="ls32">\uf34c<span class="fs7 ls9 ws8 v3">\uf137\uf13f\uf136\uf1eb</span></span></span></span></div><div class="t m0 x12 h2b yaa ff8 fs7 fc0 sc0 ls3a ws3c">\uf1de\uf1eb<span class="ls9 ws8">\uf13f\uf139<span class="ff9 fs2 ws17 v4"> tenga una asíntota en <span class="ff8 ws3d">\ued55<span class="blank"> </span>\ue603<span class="blank _7"> </span>\uf34c<span class="blank _9"> </span>\ue603<span class="blank _9"> </span></span></span><span class="v11">\uf135</span></span></div><div class="t m0 x33 h1f yaa ff8 fs7 fc0 sc0 ls9 ws8">\uf138<span class="ff9 fs2 ws17 v4"> . </span></div><div class="t m0 x1 h1e yab ff5 fs3 fc0 sc0 ls9 ws17"> </div><div class="t m0 x34 he yac ff9 fs2 fc0 sc0 ls9 ws17">Si la recta <span class="ff8 ws6">\ued55<span class="blank _7"> </span>\uf34c<span class="blank"> </span><span class="fs7 v3">\uf135</span></span></div><div class="t m0 x35 h1f yad ff8 fs7 fc0 sc0 ls9 ws8">\uf138<span class="ff9 fs2 ws17 v4"> es asíntota de la función significa que: </span></div><div class="t m0 x36 h20 yae ff8 fs2 fc0 sc0 ls9 ws4">\ued48\ued45\ued49</div><div class="t m0 x37 h2c yaf ff8 fs7 fc0 sc0 ls9 ws3e">\uf1eb\ueb5c\uf1b6<span class="blank _12"> </span><span class="fs2 ls6 v12">\ued42<span class="ls0 v2">\udb80\udddb</span><span class="ls8">\ued54<span class="ls2 v2">\udb80\udddc</span><span class="ls3">\uf34c<span class="ls9 v8">\ue973</span></span></span></span></div><div class="t m0 x38 h2d yb0 ff8 fs2 fc0 sc0 ls33">\ue976<span class="ls9 ws3f v9">\ue603\ue603\ue603<span class="blank"> </span>\uf43a<span class="blank"> </span>\ue603\ue603\ue603<span class="blank _a"> </span>\ued48\ued45\ued49</span></div><div class="t m0 x39 h2c yaf ff8 fs7 fc0 sc0 ls9 ws40">\uf1eb\ueb5c\uf1b6<span class="blank _12"> </span><span class="fs2 ws4 v12">\ue603<span class="ws11 v8">\ue975<span class="blank"> </span>\uf346<span class="blank"> </span>\ue974\ued54</span></span></div><div class="t m0 x3a h2e yb0 ff8 fs2 fc0 sc0 ls3b ws41">\ued47\ued54<span class="blank"> </span><span class="ls9 ws11">\uf346<span class="blank"> </span>\ue977<span class="blank _a"> </span><span class="ls28 v9">\uf34c</span><span class="vc">\ue973</span></span></div><div class="t m0 x3b h27 yb0 ff8 fs2 fc0 sc0 ls34">\ue976<span class="ffb ls9 ws17 v9"> </span></div><div class="t m0 x34 h10 yb1 ff9 fs2 fc0 sc0 ls9 ws17">Al <span class="blank _5"> </span>evaluar <span class="blank _3"> </span>numerador <span class="blank _6"> </span>y<span class="blank _c"></span> <span class="blank _5"> </span>denominador <span class="blank _5"> </span>nos <span class="blank _5"> </span>encontramos <span class="blank _3"> </span>que <span class="blank _5"> </span>ambos <span class="blank _5"> </span>tienden <span class="blank _3"> </span>a <span class="blank _6"> </span><span class="ff8 ws4">\ue9bb</span> <span class="blank _3"> </span>, <span class="blank _5"> </span>por <span class="blank _5"> </span>lo <span class="blank _5"> </span>tanto <span class="blank _3"> </span>se<span class="blank _3"> </span> <span class="blank _3"> </span>pres<span class="blank _3"> </span>enta </div><div class="t m0 x34 h10 yb2 ff9 fs2 fc0 sc0 ls9 ws17">una indeterminación que debemos resolver; para ello dividimos numerador y<span class="blank _0"></span> denominador por <span class="blank _3"> </span><span class="ff8 ls8">\ued54</span> : </div><div class="t m0 x3c h20 yb3 ff8 fs2 fc0 sc0 ls9 ws4">\ued48\ued45\ued49</div><div class="t m0 x3d h2f y5c ff8 fs7 fc0 sc0 ls9 ws40">\uf1eb\ueb5c<span class="blank"> </span>\uf1b6<span class="blank _12"> </span><span class="fs2 v12">\ue603</span></div><div class="t m0 x14 h20 yb4 ff8 fs2 fc0 sc0 ls9 ws36">\ue975<span class="blank"> </span>\uf346<span class="blank"> </span>\ue974\ued54</div><div class="t m0 x1e h20 yb5 ff8 fs2 fc0 sc0 ls9">\ued54</div><div class="t m0 x14 h20 yb6 ff8 fs2 fc0 sc0 ls3b ws42">\ued47\ued54<span class="blank"> </span><span class="ls9 ws1c">\uf346<span class="blank"> </span>\ue977</span></div><div class="t m0 x1e h20 yb7 ff8 fs2 fc0 sc0 ls9">\ued54</div><div class="t m0 x3e h20 yb3 ff8 fs2 fc0 sc0 ls9 ws43">\ue603<span class="blank"> </span>\uf34c<span class="blank"> </span>\ue603<span class="blank _a"> </span>\ued48\ued45\ued49</div><div class="t m0 x3f h2f y5c ff8 fs7 fc0 sc0 ls9 ws40">\uf1eb\ueb5c\uf1b6<span class="blank _12"> </span><span class="fs2 v12">\ue603</span></div><div class="t m0 x40 h20 yb4 ff8 fs2 fc0 sc0 ls9">\ue975</div><div class="t m0 x40 h30 yb5 ff8 fs2 fc0 sc0 ls35">\ued54<span class="ls9 ws11 v4">\uf346<span class="blank"> </span>\ue974</span></div><div class="t m0 x40 h31 yb8 ff8 fs2 fc0 sc0 ls9 ws11">\ued47<span class="blank _a"> </span>\uf346<span class="blank"> </span><span class="v3">\ue977</span></div><div class="t m0 xa h20 yb7 ff8 fs2 fc0 sc0 ls9">\ued54</div><div class="t m0 x41 h32 yb3 ffb fs2 fc0 sc0 ls9 ws17"> </div><div class="t m0 x34 he yb9 ff9 fs2 fc0 sc0 ls9 ws17">En esta expresión <span class="ff8 fs7 v3">\uf137</span></div><div class="t m0 x42 h2b yba ff8 fs7 fc0 sc0 ls36">\uf1eb<span class="ff9 fs2 ls9 ws17 v4"> y <span class="blank _3"> </span></span><span class="ls9 v11">\uf139</span></div><div class="t m0 x43 h1f yba ff8 fs7 fc0 sc0 ls36">\uf1eb<span class="ff9 fs2 ls9 ws17 v4"> se aproximan a <span class="ff8 ws4">\ue972</span> , por lo t<span class="blank _3"> </span>anto el numerador tiende a <span class="ff8 ws4">\uf346\ue974</span> <span class="blank _3"> </span>y el denominador se </span></div><div class="t m0 x34 h10 ybb ff9 fs2 fc0 sc0 ls9 ws17">aproxima a <span class="ff8 ls8">\ued47</span> . Entonces: </div><div class="t m0 x44 h20 ybc ff8 fs2 fc0 sc0 ls9 ws4">\ued48\ued45\ued49</div><div class="t m0 x45 h2c ybd ff8 fs7 fc0 sc0 ls9 ws40">\uf1eb\ueb5c<span class="blank"> </span>\uf1b6<span class="blank _12"> </span><span class="fs2 ws4 v12">\ue603<span class="ws27 v8">\ue975<span class="blank"> </span>\uf346<span class="blank"> </span>\ue974\ued54</span></span></div><div class="t m0 x46 h2e ybe ff8 fs2 fc0 sc0 ls3b ws44">\ued47\ued54<span class="blank"> </span><span class="ls9 ws11">\uf346<span class="blank"> </span>\ue977<span class="blank _7"> </span><span class="ws45 v9">\uf34c<span class="blank _a"> </span>\uf346<span class="blank"> </span></span><span class="vc">\ue974</span></span></div><div class="t m0 x47 h27 ybe ff8 fs2 fc0 sc0 ls8">\ued47<span class="ffb ls9 ws17 v9"> </span></div><div class="t m0 x34 he ybf ff9 fs2 fc0 sc0 ls9 ws17">Si <span class="ff8 ls37">\uf346<span class="fs7 ls9 v3">\uf136</span></span></div><div class="t m0 x48 h2b yc0 ff8 fs7 fc0 sc0 ls38">\uf1de<span class="fs2 ls3 v4">\uf34c</span><span class="ls9 v11">\uf135</span></div><div class="t m0 x29 h1f yc0 ff8 fs7 fc0 sc0 ls39">\uf138<span class="fs2 ls9 ws46 v4">\ue603\ue603<span class="blank"> </span>\uf43a<span class="blank _7"> </span>\ue603\ue603\ued47<span class="blank _7"> </span>\uf34c<span class="blank _7"> </span>\uf346\ue97a<span class="ff9 ws17"> </span></span></div><div class="t m0 x1 h10 yc1 ff9 fs2 fc0 sc0 ls9 ws17"> </div><div class="t m0 x1 h32 yc2 ffb fs2 fc0 sc0 ls9 ws17"> </div></div><div class="c x0 y31 wa h19"><div class="t m0 x15 h1a y32 ff4 fs3 fc1 sc0 ls9 ws17"><span class="fc2 sc0"> </span></div></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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