<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/35619602-df41-482e-808a-103b2ba7de93/bg1.png"><div class="c x0 y1 w2 h0"><div class="t m0 x1 h2 y2 ff1 fs0 fc0 sc0 lsa ws5">MATEMÁTICA (<span class="lsb ws0">61</span><span class="ws1">)</span><span class="ff2"> Cátedra A: NUÑEZ, MYRIAM </span></div><div class="t m0 x1 h2 y3 ff1 fs0 fc0 sc0 lsa ws5">2° PARCIAL </div><div class="t m0 x2 h2 y4 ff1 fs0 fc0 sc0 lsa ws5"> </div><div class="t m0 x1 h2 y5 ff2 fs0 fc0 sc0 lsa ws5"> </div><div class="t m0 x1 h3 y6 ff2 fs1 fc0 sc0 lsa ws5"> </div><div class="t m0 x1 h2 y7 ff2 fs0 fc0 sc0 lsc ws2">14<span class="lsa ws3">/06/2023<span class="ff1 ws5"> <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 1 </span></span></div><div class="t m0 x3 h2 y8 ff2 fs0 fc0 sc0 lsa ws5"> Hoja 1 de 4 </div><div class="t m0 x3 h2 y9 ff2 fs0 fc0 sc0 lsa ws5"> </div><div class="t m0 x1 h3 ya ff2 fs1 fc0 sc0 lsa ws5"> </div><div class="t m0 x1 h3 yb ff2 fs1 fc0 sc0 lsa ws5"> </div><div class="t m0 x1 h4 yc ff3 fs2 fc0 sc0 lsa ws5">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 lsa ws5"> </div></div><div class="c x6 yd w4 h5"><div class="t m0 x7 h6 ye ff3 fs3 fc0 sc0 lsa ws5">1 </div></div><div class="c x8 yd w5 h5"><div class="t m0 x7 h6 ye ff3 fs3 fc0 sc0 lsa ws5">2 </div></div><div class="c x9 yd w6 h5"><div class="t m0 x7 h6 ye ff3 fs3 fc0 sc0 lsa ws5">3 </div></div><div class="c xa yd w7 h5"><div class="t m0 x7 h6 ye ff3 fs3 fc0 sc0 lsa ws5">4 </div></div><div class="c x4 yf w3 h7"><div class="t m0 xb h8 y10 ff4 fs2 fc0 sc0 lsa ws5"> </div></div><div class="c x6 yf w4 h7"><div class="t m0 xb h8 y10 ff4 fs2 fc0 sc0 lsa ws5"> </div></div><div class="c x8 yf w5 h7"><div class="t m0 xb h8 y10 ff4 fs2 fc0 sc0 lsa ws5"> </div></div><div class="c x9 yf w6 h7"><div class="t m0 xb h8 y10 ff4 fs2 fc0 sc0 lsa ws5"> </div></div><div class="c xa yf w7 h7"><div class="t m0 xb h8 y10 ff4 fs2 fc0 sc0 lsa ws5"> </div></div><div class="c x4 y11 w5 h9"><div class="t m0 xb ha y12 ff4 fs4 fc0 sc0 lsa ws5">Puntaje de cada </div><div class="t m0 xb ha y13 ff4 fs4 fc0 sc0 lsa ws5">ejercicio </div></div><div class="c x6 y11 w4 h9"><div class="t m0 xc h8 y14 ff4 fs2 fc0 sc0 lsa ws5">2,50 </div></div><div class="c x8 y11 w5 h9"><div class="t m0 xc h8 y14 ff4 fs2 fc0 sc0 lsa ws5">2,50 </div></div><div class="c x9 y11 w6 h9"><div class="t m0 xc h8 y14 ff4 fs2 fc0 sc0 lsa ws5">2,50 </div></div><div class="c xa y11 w7 h9"><div class="t m0 xc h8 y14 ff4 fs2 fc0 sc0 lsa ws5">2,50 </div></div><div class="c x0 y1 w2 h0"><div class="t m0 x1 hb y15 ff5 fs5 fc0 sc0 lsa ws5">Duración del exam<span class="blank _3"> </span>en: 1h <span class="ff6 ws4">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 lsa ws5">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 lsa ws5"> </div><div class="t m0 x1 he y18 ff3 fs2 fc0 sc0 lsa ws5">1. Hallar los intervalos de crecimiento de la función <span class="ff7">\uee8c\udb80\udddb\uee9e\udb80\udddc<span class="blank _4"> </span>\uf34c<span class="blank _4"> </span>\uf0de\ue603<span class="blank"> </span>\uf346<span class="blank"> </span>\ue603\uf0dc\uee9e<span class="fs7 ls0 v1">\uf0db</span><span class="ws6">\uf345<span class="blank"> </span>\uee9e<span class="fs7 ls1 v1">\uf0dc</span><span class="ws7">\ue603</span></span></span> </div><div class="t m0 x1 h6 y19 ff3 fs3 fc0 sc0 lsa ws5"> </div><div class="t m0 x1 hf y1a ff5 fs3 fc0 sc0 lsa ws5">Para <span class="blank _0"></span>analiz<span class="blank _0"></span>ar <span class="blank _0"></span>el <span class="blank _5"></span>crecimie<span class="blank _5"></span>nto y <span class="blank _5"></span>decrecimien<span class="blank _0"></span>to <span class="blank _5"></span>de <span class="blank _5"></span>una <span class="blank _5"></span>f<span class="blank _3"> </span>unción<span class="blank _5"></span> es <span class="blank _5"></span>necesario <span class="blank _5"></span>deter<span class="blank _0"></span>minar <span class="blank _5"></span>previamente <span class="blank _5"></span>su <span class="blank _5"></span>dominio. E<span class="lsd">n </span></div><div class="t m0 x1 h10 y1b ff5 fs3 fc0 sc0 lsa ws5">este caso la función es<span class="blank _5"></span> una función polinómi<span class="blank _0"></span>ca por lo tanto<span class="lse">: <span class="blank _0"></span><span class="ff7 lsa ws8">\uee70\uee95\uee93<span class="v2">\udb80\udddb</span><span class="ls2">\uee8c<span class="ls3 v2">\udb80\udddc</span></span><span class="ws9">\uf34c<span class="blank"> </span>\ueb39<span class="ff5 ws5"> . </span></span></span></span></div><div class="t m0 x1 hf y1c ff5 fs3 fc0 sc0 lsa ws5">Teniendo <span class="blank _6"> </span>en <span class="blank _6"> </span>cuen<span class="blank _0"></span>ta <span class="blank _6"> </span>que <span class="blank _6"> </span>en <span class="blank _6"> </span>los <span class="blank _6"> </span>interv<span class="blank _0"></span>alos <span class="blank _6"> </span>de <span class="blank _6"> </span>creci<span class="blank _0"></span>miento <span class="blank _6"> </span>de <span class="blank _6"> </span>una <span class="blank _6"> </span>función,<span class="blank _5"></span> <span class="blank _7"> </span>su <span class="blank _6"> </span>derivad<span class="blank _5"></span>a <span class="blank _7"> </span>es <span class="blank _6"> </span>positiva <span class="blank _6"> </span>y <span class="blank _6"> </span>en <span class="blank _6"> </span>los <span class="blank _6"> </span>de<span class="blank _5"></span> </div><div class="t m0 x1 h11 y1d ff5 fs3 fc0 sc0 lsa ws5">decrecimiento <span class="blank _3"> </span>su <span class="blank _6"> </span>deriv<span class="blank _0"></span>ada <span class="blank _8"> </span>es <span class="blank _8"> </span>negativa, <span class="blank _8"> </span>hallamos <span class="blank _3"> </span>la <span class="blank _8"> </span>derivada <span class="blank _8"> </span>de <span class="blank _8"> </span>la <span class="blank _8"> </span>func<span class="blank _3"> </span>ión <span class="blank _8"> </span><span class="ff7 ls2">\uee8c</span> <span class="blank _8"> </span>y <span class="blank _8"> </span>determinamos <span class="blank _8"> </span>los <span class="blank _8"> </span>conjuntos <span class="blank _8"> </span>de<span class="blank _5"></span> </div><div class="t m0 x1 h11 y1e ff5 fs3 fc0 sc0 lsa ws5">positivi<span class="blank _5"></span>dad y negatividad de <span class="ff7 ws8">\uee8c\ue7b2</span> . </div><div class="t m0 xf h10 y1f ff7 fs3 fc0 sc0 ls2">\uee8c<span class="lsa ws8 v2">\udb80\udddb<span class="v3">\uee9e</span><span class="ls3">\udb80\udddc</span></span><span class="lsa wsa">\uf34c<span class="blank _9"> </span>\uf0de\ue603<span class="blank"> </span>\uf346<span class="blank"> </span>\ue603\uf0dc\uee9e<span class="fs0 ls4 v4">\uf0db</span><span class="wsb">\uf345<span class="blank"> </span>\uee9e<span class="fs0 ls5 v4">\uf0dc</span><span class="wsc">\ue603<span class="blank"> </span>\uf43a<span class="blank _9"> </span>\uee8c\ue7b2<span class="ws8 v2">\udb80\udddb<span class="v3">\uee9e</span><span class="ls3">\udb80\udddc</span></span><span class="wsd">\uf34c<span class="blank"> </span>\uf346</span></span></span></span><span class="lsf wse">\uf0df\uee9e<span class="blank"> </span></span><span class="lsa wsb">\uf345<span class="blank"> </span>\uf0dc\uee9e<span class="fs0 ls5 v4">\uf0db</span><span class="wsc">\ue603<span class="blank"> </span>\uf43a<span class="blank _9"> </span>\uee8c\ue7b2<span class="ws8 v2">\udb80\udddb<span class="v3">\uee9e</span><span class="ls3">\udb80\udddc</span></span><span class="ls6">\uf34c</span></span></span><span class="lsf wsf">\uf0dc\uee9e</span><span class="lsa ws8 v2">\udb80\udddb</span><span class="lsa ws10">\uf346\uf0db<span class="blank"> </span>\uf345<span class="blank _a"> </span>\uee9e<span class="ws8 v2">\udb80\udddc</span><span class="ff5 ws5"> </span></span></div><div class="t m0 x1 h11 y20 ff5 fs3 fc0 sc0 lsa ws5">Por lo tanto, los<span class="blank _5"></span> puntos críticos de la <span class="blank _0"></span>función son: <span class="ff7 ws11">\uee9e<span class="blank"> </span>\uf34c<span class="blank"> </span>\uf0d9\ue603<span class="blank _a"> </span>\uebe8<span class="blank _b"> </span>\uee9e<span class="blank"> </span>\uf34c<span class="blank"> </span>\uf0db</span><span class="lse"> </span> </div><div class="t m0 x1 hf y21 ff5 fs3 fc0 sc0 lsa ws5">Analizamos los inte<span class="blank _5"></span>rvalos determinados en su do<span class="blank _5"></span>minio: </div></div><div class="c x10 y22 w8 h12"><div class="t m0 x11 h11 y12 ff7 fs3 fc0 sc0 lsa ws8">\udb80\udddb<span class="ws12 v3">\uf346\ue9bb\ue7e2<span class="blank"> </span>\uf0d9</span><span class="ls7">\udb80\udddc</span><span class="ff3 ws5 v3"> </span></div></div><div class="c x12 y22 w8 h12"><div class="t m0 x13 h11 y12 ff7 fs3 fc0 sc0 lsa ws8">\udb80\udddb<span class="ws12 v3">\uf0d9\ue7e2<span class="blank"> </span>\uf0db</span>\udb80\udddc<span class="ff3 ws5 v3"> </span></div></div><div class="c x14 y22 w9 h12"><div class="t m0 x11 h11 y12 ff7 fs3 fc0 sc0 lsa ws8">\udb80\udddb<span class="ws12 v3">\uf0db\ue7e2<span class="blank"> </span>\uf345\ue9bb</span>\udb80\udddc<span class="ff3 ws5 v3"> </span></div></div><div class="c x10 y23 w8 h13"><div class="t m0 x15 h11 y24 ff7 fs3 fc0 sc0 lsa ws13">\uee9e<span class="blank"> </span>\uf34c<span class="blank"> </span>\uf346\uf0da<span class="ff3 ws5"> </span></div><div class="t m0 x16 h10 y25 ff7 fs3 fc0 sc0 lsa ws8">\uee8c\ue7b2<span class="v2">\udb80\udddb</span>\uf346\uf0da<span class="ls3 v2">\udb80\udddc</span><span class="ws14">\uf350<span class="blank"> </span>\uf0d9<span class="ff3 ws5"> </span></span></div><div class="t m0 x17 h14 y26 ff8 fs3 fc0 sc0 lsa ws5">La función es<span class="blank _5"></span> <span class="blank _3"> </span>creciente </div></div><div class="c x12 y23 w8 h13"><div class="t m0 x13 h11 y27 ff7 fs3 fc0 sc0 lsa ws11">\uee9e<span class="blank"> </span>\uf34c<span class="blank"> </span>\uf0da<span class="ff3 ws5"> </span></div><div class="t m0 x18 h10 y28 ff7 fs3 fc0 sc0 lsa ws8">\uee8c\ue7b2<span class="v2">\udb80\udddb</span><span class="ls8">\uf0da<span class="ls3 v2">\udb80\udddc</span></span><span class="ws15">\uf34f<span class="blank"> </span>\uf0d9<span class="ff3 ws5"> </span></span></div><div class="t m0 x1 h14 y29 ff8 fs3 fc0 sc0 lsa ws5">La función es<span class="blank _5"></span> </div><div class="t m0 x19 h14 y2a ff8 fs3 fc0 sc0 lsa ws5">decreciente </div></div><div class="c x14 y23 w9 h13"><div class="t m0 x13 h11 y24 ff7 fs3 fc0 sc0 lsa ws11">\uee9e<span class="blank"> </span>\uf34c<span class="blank"> </span>\uf0dc<span class="ff3 ws5"> </span></div><div class="t m0 x18 h10 y25 ff7 fs3 fc0 sc0 lsa ws8">\uee8c\ue7b2<span class="v2">\udb80\udddb</span>\uf0dc<span class="ls3 v2">\udb80\udddc</span><span class="ws15">\uf350<span class="blank"> </span>\uf0d9<span class="ff3 ws5"> </span></span></div><div class="t m0 x17 h14 y26 ff8 fs3 fc0 sc0 lsa ws5">La función es<span class="blank _5"></span> <span class="blank _3"> </span>creciente </div></div><div class="c x0 y1 w2 h0"><div class="t m0 x1 hf y2b ff5 fs3 fc0 sc0 lsa ws5"> </div><div class="t m0 x1 hf y2c ff5 fs3 fc0 sc0 lsa ws5">Por lo tanto: </div><div class="t m0 x1a h10 y2d ff3 fs3 fc0 sc0 lsa ws5">La función<span class="blank _0"></span><span class="ff7 ws8">\ue603\uee8c<span class="ff3 ws5"> es creciente en <span class="blank _5"></span>l<span class="blank _3"> </span>os intervalos<span class="blank _5"></span>: <span class="blank _3"> </span><span class="ff7 ws8 v2">\udb80\udddb</span><span class="ff7 ws12">\uf346\ue9bb\ue7e2<span class="blank"> </span>\uf0d9<span class="ws8 v2">\udb80\udddc</span></span><span class="ls9"> <span class="ls10">y <span class="blank _3"> </span></span></span><span class="ff7 ws8 v2">\udb80\udddb</span><span class="ff7 ws12">\uf0db\ue7e2<span class="blank"> </span>\uf345\ue9bb<span class="ws8 v2">\udb80\udddc</span></span> </span></span></div><div class="t m0 x1a h10 y2e ff3 fs3 fc0 sc0 lsa ws5">La función <span class="ff7 ls2">\uee8c</span> es dec<span class="blank _5"></span>reciente en el intervalo:<span class="blank _5"></span> <span class="blank _3"> </span> <span class="ff7 ws8 v2">\udb80\udddb</span><span class="ff7 ws12">\uf0d9\ue7e2<span class="blank"> </span>\uf0db<span class="ws8 v2">\udb80\udddc</span></span> </div><div class="t m0 x1 h6 y2f ff3 fs3 fc0 sc0 lsa ws5"> </div><div class="t m0 x1 h6 y30 ff3 fs3 fc0 sc0 lsa ws5"> </div><div class="t m0 x1 hf y31 ff5 fs3 fc0 sc0 lsa ws5"> </div><div class="t m0 x1 hf y32 ff5 fs3 fc0 sc0 lsa ws5"> </div><div class="t m0 x1 hf y33 ff5 fs3 fc0 sc0 lsa ws5"> <span class="blank _c"> </span> </div></div><div class="c x1 y34 wa h15"><div class="t m0 x1b h2 y35 ff2 fs0 fc0 sc0 lsa ws5">APELLIDO: </div></div><div class="c x1c y36 wb h16"><div class="t m0 xb h2 y37 ff2 fs0 fc0 sc0 lsa ws5">CALIFICACIÓN:<span class="blank _5"></span> </div></div><div class="c x1 y38 wa h17"><div class="t m0 xb h2 y14 ff2 fs0 fc0 sc0 lsa ws5">NOMBRE: </div></div><div class="c x1 y36 wa h17"><div class="t m0 xb h2 y14 ff2 fs0 fc0 sc0 lsa ws5">DNI (registrado en S<span class="blank _5"></span>IU Guaraní): </div></div><div class="c x1 y39 wa h18"><div class="t m0 xb h2 y10 ff2 fs0 fc0 sc0 lsa ws5">E-MAIL: </div></div><div class="c x1c y3a wb h19"><div class="t m0 xb h2 y3b ff2 fs0 fc0 sc0 lsa ws5">DOCENTE (nombre<span class="blank _5"></span> y apellido): </div></div><div class="c x1 y3c wa h17"><div class="t m0 xb h2 y14 ff2 fs0 fc0 sc0 lsa ws5">TEL: </div></div><div class="c x1 y3a wa h17"><div class="t m0 xb h2 y14 ff2 fs0 fc0 sc0 lsa ws5">AULA: </div></div><div class="c x0 y3d wc h1a"><div class="t m0 x1b h1b y3e ff4 fs3 fc1 sc0 lsa ws5"><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 x0 y3f wd h1c" alt="" src="https://files.passeidireto.com/35619602-df41-482e-808a-103b2ba7de93/bg2.png"><div class="c x0 y1 w2 h0"><div class="t m0 x1 h2 y2 ff1 fs0 fc0 sc0 lsa ws5">MATEMÁTICA (6<span class="lsb ws0">1)</span><span class="ff2"> Cátedra A: NUÑEZ, MYRIAM</span><span class="ls11"> <span class="ls12"> </span></span>2° PARC<span class="blank _3"> </span>IAL </div><div class="t m0 x1 h2 y3 ff2 fs0 fc0 sc0 lsa ws5"> </div><div class="t m0 x1 h2 y4 ff2 fs0 fc0 sc0 lsa ws5">APELLIDO Y NOMB<span class="blank _5"></span>RE: <span class="blank _0"></span> <span class="blank _5"></span> <span class="blank _5"></span> <span class="blank _3"> </span>DNI:<span class="blank _5"></span><span class="ff1"> <span class="blank _d"> </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 1 </span></div><div class="t m0 x3 h2 y5 ff2 fs0 fc0 sc0 lsa ws5">Hoja 2 de 4 </div><div class="t m0 x3 h2 y40 ff2 fs0 fc0 sc0 lsa ws5"> </div><div class="t m0 x2 h2 y41 ff1 fs0 fc0 sc0 lsa ws5"> </div><div class="t m0 x1 h1d y42 ff3 fs2 fc0 sc0 lsa ws5">2. Sabiendo que<span class="ff7 ws7">\ue603\uee8c<span class="ls13 v2">\udb80\udddb</span><span class="ls14">\uee9e<span class="ls15 v2">\udb80\udddc</span><span class="ls16">\uf34c</span><span class="v5">\ue9be</span></span><span class="ws16">\uee9e<span class="blank"> </span>\uf346<span class="blank"> </span>\uf0dc</span></span>, calcular el área de la región sombreada. </div><div class="t m0 x1 h6 y43 ff3 fs3 fc0 sc0 lsa ws5"> </div><div class="t m0 x1 h6 y44 ff3 fs3 fc0 sc0 lsa ws5"> </div><div class="t m0 x1 h6 y45 ff3 fs3 fc0 sc0 lsa ws5"> </div><div class="t m0 x1d hf y46 ff5 fs3 fc0 sc0 lsa ws5"> </div><div class="t m0 x1d hf y47 ff5 fs3 fc0 sc0 lsa ws5"> </div><div class="t m0 x1d hf y48 ff5 fs3 fc0 sc0 lsa ws5"> </div><div class="t m0 x1 hf y49 ff5 fs3 fc0 sc0 lsa ws5"> </div><div class="t m0 x1 hf y4a ff5 fs3 fc0 sc0 lsa ws5">Como <span class="blank _5"></span>el á<span class="blank _5"></span>rea a<span class="blank _5"></span> calcular <span class="blank _5"></span>está <span class="blank _5"></span>formada <span class="blank _5"></span>por <span class="blank _5"></span>una <span class="blank _5"></span>región <span class="blank _5"></span>por deba<span class="blank _5"></span>jo del<span class="blank _5"></span> eje <span class="blank _5"></span>de <span class="blank _5"></span>abscisas <span class="blank _5"></span>y <span class="blank _5"></span>otra po<span class="blank _5"></span>r<span class="blank _3"> </span> en<span class="blank _5"></span>cima de<span class="blank _0"></span>l <span class="blank _5"></span>mismo, </div><div class="t m0 x1 h11 y4b ff5 fs3 fc0 sc0 lsa ws5">debemos de<span class="blank _5"></span>t<span class="blank _3"> </span>erminar el<span class="blank _5"></span> valor de <span class="ff7 ws8">\uee9e</span> <span class="blank _5"></span>donde la gráfica <span class="blank _5"></span>corta dicho eje<span class="blank _5"></span>.<span class="blank _3"> </span> Es de<span class="blank _5"></span>cir, determinar el <span class="blank _5"></span>valor de <span class="ff7 ws8">\uee9e</span> p<span class="blank _5"></span>ara el cual </div><div class="t m0 x1 h11 y4c ff7 fs3 fc0 sc0 lsa ws17">\uee8c\udb80\udddb\uee9e\udb80\udddc<span class="blank"> </span>\uf34c<span class="blank"> </span>\uf0d9<span class="ff5 ws5">. </span></div><div class="t m0 x1e h10 y4d ff7 fs3 fc0 sc0 ls2">\uee8c<span class="lsa ws8 v2">\udb80\udddb<span class="v3">\uee9e</span><span class="ls3">\udb80\udddc</span></span><span class="lsa ws18">\uf34c<span class="blank"> </span>\uf0d9\ue603<span class="blank"> </span>\uf43a<span class="blank"> </span><span class="ws8 v5">\ue9be</span><span class="ws19">\uee9e<span class="blank _b"> </span>\uf346<span class="blank _a"> </span>\uf0dc<span class="blank _9"> </span>\uf34c<span class="blank _9"> </span>\uf0d9\ue603<span class="blank _9"> </span>\uf43a<span class="blank"> </span>\ue603<span class="blank"> </span><span class="ws8 v5">\ue9be</span><span class="ws11">\uee9e<span class="blank"> </span>\uf34c<span class="blank"> </span>\uf0dc<span class="blank"> </span>\uf43a<span class="blank"> </span>\uee9e<span class="blank"> </span>\uf34c<span class="blank _4"> </span>\uf0e2<span class="ff5 ws5"> </span></span></span></span></div><div class="t m0 x1 hf y4e ff5 fs3 fc0 sc0 lsa ws5">Entonces el área<span class="blank _5"></span> <span class="blank _3"> </span>a calcul<span class="blank _5"></span>ar <span class="blank _3"> </span>es: </div><div class="t m0 x1f h11 y4f ff7 fs3 fc0 sc0 lsa ws1a">\uee6d<span class="blank _9"> </span>\uf34c<span class="blank _9"> </span>\uf346<span class="blank"> </span>\uf3b1<span class="blank"> </span>\uee8c\udb80\udddb\uee9e\udb80\udddc<span class="ls2a">\uee8a\uee9e</span></div><div class="t m0 x20 h1e y50 ff7 fs0 fc0 sc0 lsa">\uf0e2</div><div class="t m0 x21 h1f y51 ff7 fs0 fc0 sc0 ls17">\uf0d9<span class="fs3 lsa wsb v6">\uf345<span class="blank"> </span>\uf3b1<span class="blank _e"> </span>\uee8c\udb80\udddb\uee9e\udb80\udddc</span></div><div class="t m0 x22 h1e y50 ff7 fs0 fc0 sc0 ls2b">\uf0da\uf0df</div><div class="t m0 x23 h1f y51 ff7 fs0 fc0 sc0 ls18">\uf0e2<span class="fs3 ls2a ws1b v6">\uee8a\uee9e<span class="ff3 lsa ws5"> </span></span></div><div class="t m0 x1 hf y52 ff5 fs3 fc0 sc0 lsa ws5">Por otra parte,<span class="blank _5"></span> </div><div class="t m0 x24 h10 y53 ff7 fs3 fc0 sc0 lsa ws1a">\uf3b1<span class="blank"> </span>\uee8c<span class="ls7 v2">\udb80\udddb</span><span class="ws8">\uee9e<span class="v2">\udb80\udddc</span><span class="ls2a ws1c">\uee8a\uee9e<span class="blank"> </span></span><span class="wsc">\ue603<span class="blank"> </span>\uf34c<span class="blank _9"> </span>\uf3b1</span><span class="v3">\uf36b<span class="v5">\ue9be</span></span><span class="wsb">\uee9e<span class="blank"> </span>\uf346<span class="blank"> </span>\uf0dc</span><span class="v3">\uf36f</span><span class="ls2a ws1d">\uee8a\uee9e<span class="blank"> </span></span><span class="ws1e">\uf43a<span class="blank"> </span>\uf3b1<span class="blank"> </span>\uee8c</span><span class="v2">\udb80\udddb</span>\uee9e<span class="v2">\udb80\udddc</span><span class="ls2a ws1c">\uee8a\uee9e<span class="blank"> </span></span><span class="wsc">\ue603<span class="blank"> </span>\uf34c<span class="blank _9"> </span>\uf3b1<span class="blank _f"> </span></span><span class="v5">\ue9be</span>\uee9e<span class="ls2a ws1f">\uee8a\uee9e<span class="blank"> </span></span><span class="ws20">\uf346<span class="blank _b"> </span>\uf3b1<span class="blank"> </span>\uf0dc\uee8a\uee9e<span class="ff3 ws5"> </span></span></span></div><div class="t m0 x25 h20 y54 ff7 fs3 fc0 sc0 lsa ws1a">\uf3b1<span class="blank"> </span>\uee8c<span class="ws8 v2">\udb80\udddb<span class="v3">\uee9e</span>\udb80\udddc</span><span class="ls2a ws1d">\uee8a\uee9e<span class="blank"> </span><span class="ls19">\uf34c</span></span><span class="v7">\uf0db</span></div><div class="t m0 x26 h21 y55 ff7 fs3 fc0 sc0 ls1a">\uf0dc<span class="lsa ws8 v8">\uee9e<span class="fs0 v9">\uf0dc</span></span></div><div class="t m0 x27 h22 y56 ff7 fs0 fc0 sc0 ls4">\uf0db<span class="fs3 ls1b va">\uf346<span class="lsf ws21">\uf0dc\uee9e<span class="blank"> </span><span class="lsa wsb">\uf345<span class="blank"> </span>\uee6f<span class="ff3 ws5"> </span></span></span></span></div><div class="t m0 x1 hf y57 ff5 fs3 fc0 sc0 lsa ws5">Entonces: </div><div class="t m0 x28 h20 y58 ff7 fs3 fc0 sc0 lsa ws22">\uee6d<span class="blank _9"> </span>\uf34c<span class="blank _9"> </span>\uf346<span class="blank"> </span>\uf36c<span class="v7">\uf0db</span></div><div class="t m0 x29 h21 y59 ff7 fs3 fc0 sc0 ls1a">\uf0dc<span class="lsa ws8 v8">\uee9e<span class="fs0 v9">\uf0dc</span></span></div><div class="t m0 x21 h22 y5a ff7 fs0 fc0 sc0 ls4">\uf0db<span class="fs3 ls1b va">\uf346<span class="lsf wsf">\uf0dc\uee9e<span class="lsa ws8">\uf370<span class="ls1c v3">\uf42c</span><span class="fs0 vb">\uf0d9</span></span></span></span></div><div class="t m0 x2a h23 y5b ff7 fs0 fc0 sc0 ls4">\uf0e2<span class="fs3 lsa wsb vc">\uf345<span class="blank"> </span>\uf36c<span class="v7">\uf0db</span></span></div><div class="t m0 x9 h21 y59 ff7 fs3 fc0 sc0 ls1a">\uf0dc<span class="lsa ws8 v8">\uee9e<span class="fs0 v9">\uf0dc</span></span></div><div class="t m0 x2b h22 y5a ff7 fs0 fc0 sc0 ls4">\uf0db<span class="fs3 ls1b va">\uf346<span class="lsf wsf">\uf0dc\uee9e<span class="lsa ws8">\uf370<span class="ls1c v3">\uf42c</span><span class="fs0 vb">\uf0e2</span></span></span></span></div><div class="t m0 x2c h1e y5b ff7 fs0 fc0 sc0 ls2b ws23">\uf0da\uf0df<span class="blank"> </span><span class="ff3 fs3 lsa ws5 vc"> </span></div><div class="t m0 x2d h20 y5c ff7 fs3 fc0 sc0 lsa ws22">\uee6d<span class="blank _9"> </span>\uf34c<span class="blank _9"> </span>\uf346<span class="blank"> </span>\uf36c<span class="v7">\uf0db</span></div><div class="t m0 x2e h21 y5d ff7 fs3 fc0 sc0 ls1d">\uf0dc<span class="lsa ws24 v8">\ue7e4<span class="blank"> </span>\uf0e2<span class="fs0 v9">\uf0dc</span></span></div><div class="t m0 x6 h24 y5e ff7 fs0 fc0 sc0 ls4">\uf0db<span class="fs3 lsa ws24 va">\uf346<span class="blank _b"> </span>\uf0dc\ue7e4<span class="blank"> </span>\uf0e2\uf370<span class="blank _b"> </span>\uf345<span class="blank _a"> </span><span class="ls1e v3">\udb80\udde7</span><span class="v7">\uf0db</span></span></div><div class="t m0 x2f h21 y5d ff7 fs3 fc0 sc0 ls1f">\uf0dc<span class="ls20 v8">\ue7e4<span class="lsf wsf">\uf0da\uf0df<span class="fs0 lsa v9">\uf0dc</span></span></span></div><div class="t m0 x30 h24 y5e ff7 fs0 fc0 sc0 ls4">\uf0db<span class="fs3 lsa ws24 va">\uf346<span class="blank _b"> </span>\uf0dc\ue7e4<span class="blank"> </span><span class="lsf ws25">\uf0da\uf0df<span class="blank"> </span><span class="lsa wsb">\uf346<span class="blank"> </span>\uf36c<span class="v7">\uf0db</span></span></span></span></div><div class="t m0 x31 h21 y5d ff7 fs3 fc0 sc0 ls1a">\uf0dc<span class="lsa ws24 v8">\ue7e4<span class="blank"> </span>\uf0e2<span class="fs0 v9">\uf0dc</span></span></div><div class="t m0 x32 h22 y5e ff7 fs0 fc0 sc0 ls4">\uf0db<span class="fs3 lsa ws24 va">\uf346<span class="blank _b"> </span>\uf0dc\ue7e4<span class="blank"> </span>\uf0e2\uf370<span class="ws8 v3">\udb80\udde8</span><span class="ff3 ws5"> </span></span></div><div class="t m0 x33 h20 y5f ff7 fs3 fc0 sc0 lsa ws26">\uee6d<span class="blank _9"> </span>\uf34c<span class="blank _9"> </span>\uf346<span class="blank"> </span>\uf36c<span class="v7">\uf0db</span></div><div class="t m0 xd h25 y60 ff7 fs3 fc0 sc0 ls1a">\uf0dc<span class="ls20 v8">\ue7e4<span class="lsf ws25">\uf0db\uf0e0<span class="blank"> </span><span class="ls1b">\uf346</span><span class="wsf">\uf0db\uf0e0<span class="lsa ws27">\uf370<span class="blank"> </span>\uf345<span class="blank"> </span><span class="ls1e v3">\udb80\udde7</span><span class="v7">\uf0db</span></span></span></span></span></div><div class="t m0 x34 h25 y60 ff7 fs3 fc0 sc0 ls21">\uf0dc<span class="ls20 v8">\ue7e4<span class="lsf ws25">\uf0df\uf0dd<span class="blank"> </span><span class="ls1b">\uf346</span>\uf0dd\uf0e1<span class="blank"> </span><span class="lsa ws28">\uf346<span class="blank"> </span>\uf36c<span class="v7">\uf0db</span></span></span></span></div><div class="t m0 x35 h26 y60 ff7 fs3 fc0 sc0 ls1a">\uf0dc<span class="ls20 v8">\ue7e4<span class="lsf ws25">\uf0db\uf0e0<span class="blank"> </span><span class="ls1b">\uf346</span><span class="wsf">\uf0db\uf0e0<span class="lsa ws8">\uf370<span class="ls22 v3">\udb80\udde8</span><span class="ff3 ws5"> </span></span></span></span></span></div><div class="t m0 x36 h20 y61 ff7 fs3 fc0 sc0 lsa ws29">\uee6d<span class="blank"> </span>\uf34c<span class="blank"> </span>\uf346<span class="ws8 v2">\udb80\udddb</span><span class="lsf ws25">\uf0da\uf0e1<span class="blank"> </span><span class="ls23">\uf346</span><span class="wsf">\uf0db\uf0e0<span class="ls24 v2">\udb80\udddc</span></span></span><span class="wsb">\uf345<span class="blank"> </span>\uf36c<span class="lsf v7">\uf0da\uf0db\uf0e1</span></span></div><div class="t m0 x6 h25 y62 ff7 fs3 fc0 sc0 ls25">\uf0dc<span class="ls1b v8">\uf346<span class="lsf ws25">\uf0dd\uf0e1<span class="blank"> </span><span class="ls26">\uf346</span>\uf0da\uf0e1<span class="blank"> </span><span class="ls27">\uf345</span><span class="wsf">\uf0db\uf0e0<span class="lsa ws28">\uf370<span class="blank _9"> </span>\uf43a<span class="blank _9"> </span>\uee6d<span class="blank _9"> </span>\uf34c<span class="blank _9"> </span>\uf0e2<span class="blank _a"> </span>\uf345<span class="blank"> </span></span><span class="v7">\uf0da\uf0db\uf0e1</span></span></span></span></div><div class="t m0 x37 h25 y62 ff7 fs3 fc0 sc0 ls25">\uf0dc<span class="ls1b v8">\uf346<span class="lsf wsf">\uf0dc\uf0e2<span class="lsa ws18">\ue603<span class="blank"> </span>\uf43a<span class="blank"> </span>\uee6d<span class="blank"> </span>\uf34c<span class="blank"> </span></span><span class="v7">\uf0dc\uf0e1</span></span></span></div><div class="t m0 x38 h11 y62 ff7 fs3 fc0 sc0 ls28">\uf0dc<span class="ff3 lsa ws5 v8"> </span></div><div class="t m0 x1d hf y63 ff5 fs3 fc0 sc0 lsa ws5"> </div><div class="t m0 x1d hf y64 ff5 fs3 fc0 sc0 ls29 ws5"> <span class="ff4 lsa"> </span></div></div><div class="c x0 y3d wc h1a"><div class="t m0 x1b h1b y3e ff4 fs3 fc1 sc0 lsa ws5"><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="pf3" class="pf w0 h0" data-page-no="3"><div class="pc pc3 w0 h0"><img fetchpriority="low" loading="lazy" class="bi x0 y65 wd h27" alt="" src="https://files.passeidireto.com/35619602-df41-482e-808a-103b2ba7de93/bg3.png"><div class="c x0 y1 w2 h0"><div class="t m0 x1 h2 y2 ff1 fs0 fc0 sc0 lsa ws5">MATEMÁTICA (<span class="lsb ws0">61</span><span class="ws1">)</span><span class="ff2"> Cátedra A: NUÑEZ, MYRIAM</span><span class="ls11"> <span class="ls12"> </span></span>2° PARC<span class="blank _3"> </span>IAL </div><div class="t m0 x1 h2 y3 ff2 fs0 fc0 sc0 lsa ws5"> </div><div class="t m0 x1 h2 y4 ff2 fs0 fc0 sc0 lsa ws5">APELLIDO Y NOMB<span class="blank _5"></span>RE: <span class="blank _0"></span> <span class="blank _5"></span> <span class="blank _5"></span> <span class="blank _3"> </span>DNI:<span class="blank _5"></span><span class="ff1"> <span class="blank _d"> </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 1 </span></div><div class="t m0 x3 h2 y5 ff2 fs0 fc0 sc0 lsa ws5">Hoja 3 de 4 </div><div class="t m0 x3 h2 y40 ff2 fs0 fc0 sc0 lsa ws5"> </div><div class="t m0 x1 he y66 ff3 fs2 fc0 sc0 lsa ws5">3. Hallar el/los valores de <span class="ff7 ws2a">\uee87<span class="blank"> </span>\uebd0<span class="blank"> </span>\uee7e</span> para l<span class="blank _3"> </span>os cuales <span class="blank _5"></span>e<span class="blank _3"> </span>l siguiente sistema resulte <span class="ls3c ws2b">in</span>compatible </div><div class="t m0 x39 h28 y67 ff7 fs2 fc0 sc0 ls2c">\uf35d<span class="lsa ws16 vd">\uee9e<span class="blank"> </span>\uf345<span class="blank"> </span>\uee9f<span class="blank"> </span>\uf345<span class="blank"> </span>\ueea0<span class="blank _4"> </span>\uf34c<span class="blank _9"> </span>\uee87<span class="blank _9"> </span>\uf346<span class="blank"> </span>\uf0da</span></div><div class="t m0 x21 he y68 ff7 fs2 fc0 sc0 ls3c ws2c">\uf0db\uee9e<span class="blank"> </span><span class="ls2d ws2d">\uf345\uee9f\uf345<span class="ls3d ws2e">\uee87\ueea0<span class="blank"> </span><span class="lsa ws2f">\uf34c<span class="blank"> </span>\uee87</span></span></span></div><div class="t m0 x20 h29 y69 ff7 fs2 fc0 sc0 ls2d">\uee9e\uf345<span class="ls3d ws30">\uee87\uee9f<span class="blank"> </span></span><span class="lsa ws16">\uf345<span class="blank"> </span>\ueea0<span class="blank _4"> </span>\uf34c<span class="blank _4"> </span>\uf0da<span class="blank _10"> </span><span class="ff3 ws5 ve"> </span></span></div><div class="t m0 x1 h1b y6a ff4 fs3 fc0 sc0 lsa ws5"> </div><div class="t m0 x1 h1b y6b ff4 fs3 fc0 sc0 lsa ws5">En principio, note<span class="blank _0"></span>mos que el sistema<span class="blank _5"></span>:</div><div class="t m1 x3a h2a y6b ff9 fs8 fc0 sc1 lsa ws5"> </div><div class="t m0 x3b h2b y6c ff7 fs3 fc0 sc0 lsa ws8">\uf35d<span class="wsb ve">\ued54<span class="blank _a"> </span>\uf345<span class="blank"> </span>\ued55<span class="blank _a"> </span>\uf345<span class="blank"> </span>\ued56<span class="blank _4"> </span>\uf34c<span class="blank _9"> </span>\ued3d<span class="blank _a"> </span>\uf346<span class="blank"> </span>\ue973</span></div><div class="t m0 x3c h11 y6d ff7 fs3 fc0 sc0 lsa wsb">\ue974\ued54<span class="blank _a"> </span>\uf345<span class="blank"> </span>\ued55<span class="blank _a"> </span>\uf345<span class="blank"> </span><span class="ls3e ws31">\ued3d\ued56<span class="blank"> </span></span><span class="ws9">\uf34c<span class="blank"> </span>\ued3d</span></div><div class="t m0 x3d h2c y6e ff7 fs3 fc0 sc0 lsa wsb">\ued54<span class="blank _a"> </span>\uf345<span class="blank"> </span><span class="ls3e ws32">\ued3d\ued55<span class="blank"> </span></span>\uf345<span class="blank"> </span>\ued56<span class="blank _4"> </span>\uf34c<span class="blank _9"> </span>\ue973<span class="blank _11"> </span><span class="ff4 ws5 vf"> </span></div><div class="t m0 x1 h2d y6f ffa fs3 fc0 sc0 lsa ws5"> </div><div class="t m0 x1 h1b y16 ff4 fs3 fc0 sc0 lsa ws5">Encuentra su equivalent<span class="blank _5"></span>e matricial en la siguiente <span class="blank _5"></span>expresión: </div><div class="t m0 x3e h2e y70 ff7 fs3 fc0 sc0 lsa ws8">\uf36d<span class="ws33 v10">\ue973<span class="blank"> </span>\ue973<span class="blank"> </span>\ue973</span></div><div class="t m0 x3f h11 y71 ff7 fs3 fc0 sc0 lsa ws33">\ue974<span class="blank"> </span>\ue973<span class="blank"> </span>\ued3d</div><div class="t m0 x3f h2f y72 ff7 fs3 fc0 sc0 lsa ws34">\ue973<span class="blank"> </span>\ued3d<span class="blank _12"> </span>\ue973<span class="wsb v11">\uf371<span class="blank"> </span>\ue9ae<span class="blank"> </span></span><span class="ls2e v11">\udb80\udde7</span><span class="v12">\ued54</span></div><div class="t m0 x2a h11 y73 ff7 fs3 fc0 sc0 lsa">\ued55</div><div class="t m0 x2a h30 y74 ff7 fs3 fc0 sc0 ls2f">\ued56<span class="ls30 v10">\udb80\udde8</span><span class="lsa ws13 v10">\uf34c<span class="blank"> </span>\uf36d</span><span class="lsa ws28 v13">\ued3d<span class="blank _a"> </span>\uf346<span class="blank"> </span>\ue973</span></div><div class="t m0 x40 h11 y75 ff7 fs3 fc0 sc0 lsa">\ued3d</div><div class="t m0 x40 h31 y72 ff7 fs3 fc0 sc0 ls31">\ue973<span class="lsa ws8 v11">\uf371<span class="ff4 ws5"> </span></span></div><div class="t m0 x1 h1b y76 ff4 fs3 fc0 sc0 lsa ws5"> </div><div class="t m0 x1 h1b y77 ff4 fs3 fc0 sc0 lsa ws5">Luego, empleare<span class="blank _5"></span>mos el método de eliminaci<span class="blank _0"></span>ón de Gauss sobre<span class="blank _5"></span> la matriz ampliada com<span class="blank _0"></span>o vía de resolución (ver apunte de<span class="blank _5"></span> </div><div class="t m0 x1 h1b y78 ffb fs3 fc0 sc0 lsa ws5">cátedra \u201cSistema<span class="blank _5"></span>s lineales y matrices\u201d)<span class="ff4">: </span></div><div class="t m0 x1d h2e y79 ff4 fs3 fc0 sc0 ls32 ws5"> <span class="ff7 lsa ws33 v10">\ue973<span class="blank"> </span>\ue973<span class="blank"> </span>\ue973</span></div><div class="t m0 x41 h11 y7a ff7 fs3 fc0 sc0 lsa ws33">\ue974<span class="blank"> </span>\ue973<span class="blank"> </span>\ued3d</div><div class="t m0 x41 h32 y7b ff7 fs3 fc0 sc0 lsa ws34">\ue973<span class="blank"> </span>\ued3d<span class="blank _12"> </span>\ue973<span class="ff4 ls33 ws5 v11"> </span><span class="wsb v14">\ued3d<span class="blank _a"> </span>\uf346<span class="blank"> </span>\ue973</span></div><div class="t m0 x42 h11 y7c ff7 fs3 fc0 sc0 lsa">\ued3d</div><div class="t m0 x42 h32 y7b ff7 fs3 fc0 sc0 ls31">\ue973<span class="ff4 lsa ws5 v11"> </span><span class="fs5 lsa ws35 v11">\uf0db\uee72</span><span class="fs9 ls34 v15">\uf0da</span><span class="fs5 lsa ws36 v11">\uf346<span class="blank"> </span>\uee72</span><span class="fs9 ls35 v15">\uf0db</span><span class="fs5 lsa ws37 v11">\ueb5c<span class="blank"> </span>\uee72</span><span class="fs9 ls36 v15">\uf0db</span><span class="ff4 lsa ws5 v11"> </span><span class="lsa ws38 v14">\ue973<span class="blank"> </span>\ue973<span class="blank _13"> </span>\ue973</span></div><div class="t m0 x43 h11 y7a ff7 fs3 fc0 sc0 lsa ws39">\ue972<span class="blank _14"> </span>\ue973<span class="blank _14"> </span>\ue974<span class="blank"> </span>\uf346<span class="blank"> </span>\ued3d</div><div class="t m0 x43 h32 y7b ff7 fs3 fc0 sc0 lsa ws39">\ue972<span class="blank _15"> </span>\ue973<span class="blank"> </span>\uf346<span class="blank"> </span>\ued3d<span class="blank _16"> </span>\ue972<span class="blank _17"> </span><span class="ff4 ls33 ws5 v11"> </span><span class="wsb v14">\ued3d<span class="blank"> </span>\uf346<span class="blank"> </span>\ue973</span></div><div class="t m0 x44 h11 y7a ff7 fs3 fc0 sc0 lsa wsb">\ued3d<span class="blank"> </span>\uf346<span class="blank"> </span>\ue974</div><div class="t m0 x44 h33 y7b ff7 fs3 fc0 sc0 lsa wsb">\ued3d<span class="blank"> </span>\uf346<span class="blank"> </span>\ue974<span class="ff4 ls33 ws5 v11"> </span><span class="ffa ws3a v11">(1)<span class="ff4 ws5"> </span></span></div><div class="t m0 x1d h1b y7d ff4 fs3 fc0 sc0 lsa ws5"> </div><div class="t m0 x1d h1b y7e ff4 fs3 fc0 sc0 lsa ws5"> </div><div class="t m0 x1d h34 y7f ff7 fs5 fc0 sc0 lsa ws35">\uee72<span class="fs9 ls37 v16">\uf0dc</span><span class="ws36">\uf346<span class="blank"> </span>\udb80\udddb\uf0da<span class="blank"> </span>\uf346<span class="blank"> </span>\uee87\udb80\udddc\uee72<span class="fs9 ls35 v16">\uf0db</span><span class="ws37">\ueb5c<span class="blank"> </span>\uee72<span class="fs9 ls36 v16">\uf0dc</span><span class="ffa ls38 ws5"> <span class="blank _0"></span> <span class="blank _5"></span> <span class="blank _5"></span> <span class="blank _5"></span> <span class="fs3 lsa ws3a">(2)<span class="ff4 ws5"> </span></span></span></span></span></div><div class="t m0 x1d h35 y80 ffa fs5 fc0 sc0 ls38 ws5"> <span class="blank _5"></span> </div><div class="t m0 x45 h11 y81 ff7 fs3 fc0 sc0 lsa ws34">\ue973<span class="blank"> </span>\ue973<span class="blank _18"> </span>\ue973</div><div class="t m0 x45 h11 y82 ff7 fs3 fc0 sc0 lsa ws39">\ue972<span class="blank _15"> </span>\ue973<span class="blank _2"> </span>\ue974<span class="blank"> </span>\uf346<span class="blank"> </span>\ued3d</div><div class="t m0 x45 h36 y83 ff7 fs3 fc0 sc0 lsa ws39">\ue972<span class="blank _15"> </span>\ue972<span class="blank _15"> </span>\udb80\udddb\ue974<span class="blank"> </span>\uf346<span class="blank"> </span>\ued3d<span class="blank _3"> </span>\udb80\udddc\udb80\udddb\ue973<span class="blank"> </span>\uf346<span class="blank"> </span>\ued3d<span class="blank _3"> </span>\udb80\udddc<span class="ff4 ls33 ws5 v10"> <span class="blank _19"> </span></span><span class="wsb v14">\ued3d<span class="blank"> </span>\uf346<span class="blank"> </span>\ue973</span></div><div class="t m0 x46 h11 y84 ff7 fs3 fc0 sc0 lsa wsb">\ued3d<span class="blank"> </span>\uf346<span class="blank"> </span>\ue974</div><div class="t m0 x47 h37 y85 ff7 fs3 fc0 sc0 lsa ws8">\udb80\udddb<span class="wsb v3">\ued3d<span class="blank"> </span>\uf346<span class="blank"> </span>\ue974</span>\udb80\udddc<span class="ws24 v3">\ue7e4<span class="blank"> </span>\uf346\ued3d<span class="blank _3"> </span></span><span class="ffa fs5 ws5 v10"> </span></div><div class="t m0 x1d h1b y86 ff4 fs3 fc0 sc0 lsa ws5"> </div><div class="t m0 x1 h1b y87 ff4 fs3 fc0 sc0 lsa ws5">Del análisis de la<span class="blank _5"></span> última fila de la matriz obtenida <span class="blank _5"></span>en (2) se desprende dire<span class="blank _5"></span>ctamente que: </div><div class="t m0 x48 h2e y88 ffc fs5 fc0 sc0 lsa ws4">\uf0b7<span class="ff5 ls39 ws5"> <span class="ff4 fs3 ls3f">Si <span class="ff7 lsa ws3b">\uee87<span class="blank"> </span>\uf34c<span class="blank"> </span>\uf0db<span class="blank"> </span>\ueb5c</span><span class="ls33"> <span class="ff7 lsa ws34 v10">\ue973<span class="blank"> </span>\ue973<span class="blank"> </span>\ue973</span></span></span></span></div><div class="t m0 x49 h11 y89 ff7 fs3 fc0 sc0 lsa ws34">\ue972<span class="blank"> </span>\ue973<span class="blank"> </span>\ue972</div><div class="t m0 x49 h38 y8a ff7 fs3 fc3 sc0 lsa ws34">\ue972<span class="blank"> </span>\ue972<span class="blank"> </span>\ue972<span class="ff4 fc0 ls33 ws5 v11"> <span class="blank _1a"> </span></span><span class="fc0 v14">\ue973</span></div><div class="t m0 x4a h11 y89 ff7 fs3 fc0 sc0 lsa">\ue972</div><div class="t m0 x4a h39 y8a ff7 fs3 fc3 sc0 ls3a">\ue972<span class="ff4 fc0 lsa ws5 v11"> y por lo tant<span class="blank _5"></span>o<span class="blank _3"> </span> el sistema resulta <span class="blank _5"></span><span class="ffa">c<span class="blank _3"> </span>ompatib<span class="blank _5"></span>l<span class="blank _3"> </span>e indete<span class="blank _5"></span>r<span class="blank _3"> </span>minado <span class="fs5"> </span></span></span></div><div class="t m0 x4b h1b y8b ff4 fs3 fc0 sc0 lsa ws5"> </div><div class="t m0 x1d h2e y8c ff4 fs3 fc0 sc0 ls3f ws5">Si <span class="ff7 lsa ws3b">\uee87<span class="blank"> </span>\uf34c<span class="blank"> </span>\uf0da<span class="blank"> </span>\ueb5c</span><span class="ls33"> <span class="ff7 lsa ws34 v10">\ue973<span class="blank"> </span>\ue973<span class="blank"> </span>\ue973</span></span></div><div class="t m0 x42 h11 y8d ff7 fs3 fc0 sc0 lsa ws34">\ue972<span class="blank"> </span>\ue973<span class="blank"> </span>\ue973</div><div class="t m0 x42 h32 y8e ff7 fs3 fc3 sc0 lsa ws34">\ue972<span class="blank"> </span>\ue972<span class="blank"> </span>\ue972<span class="ff4 fc0 ls33 ws5 v11"> <span class="blank _e"> </span></span><span class="fc0 v14">\ue972</span></div><div class="t m0 x4 h11 y8f ff7 fs3 fc0 sc0 lsa ws8">\uf346\ue973</div><div class="t m0 x4c h33 y8e ff7 fs3 fc3 sc0 ls3b">\ue973<span class="ff4 fc0 ls33 ws5 v11"> <span class="lsa">y por lo tant<span class="blank _5"></span>o, e<span class="blank _3"> </span>n e<span class="blank _0"></span>ste segundo caso, <span class="blank _5"></span>el sistema resulta <span class="ffa ws3a">incompatible</span>, co<span class="blank _5"></span>m<span class="blank _3"> </span>o se </span></span></div><div class="t m0 x1d h1b y90 ff4 fs3 fc0 sc0 lsa ws5">quiere. </div><div class="t m0 x1d h1b y91 ff4 fs3 fc0 sc0 lsa ws5"> </div><div class="t m0 x1d h1b y92 ff4 fs3 fc0 sc0 lsa ws5">Por último, para cual<span class="blank _0"></span>quier otro cas<span class="blank _5"></span>o<span class="blank _3"> </span>, esto es, para <span class="blank _5"></span>to<span class="blank _3"> </span>do valor real <span class="ffb">d<span class="blank _5"></span>e <span class="blank _3"> </span>\u201ca\u201d <span class="ff4">distinto <span class="blank _5"></span>de 1<span class="blank _3"> </span> <span class="ls40">y <span class="blank _5"></span><span class="lsa">2<span class="blank _3"> </span>, el sistema<span class="blank _5"></span> se clasificará </span></span></span></span></div><div class="t m0 x1d h2d y93 ff4 fs3 fc0 sc0 lsa ws5">como <span class="ffa">compatible de<span class="blank _5"></span>terminado. </span></div><div class="t m0 x1d h11 y94 ffa fs3 fc0 sc0 lsa ws5">Luego, el único <span class="blank _5"></span>v<span class="blank _3"> </span>alor de <span class="ff7 ws3c">\uee87<span class="blank"> </span>\uebd0<span class="blank"> </span>\uee7e</span> ta<span class="blank _0"></span>l que el sistema re<span class="blank _5"></span>sulta incompatible es <span class="ff7 ws3b">\uee87<span class="blank"> </span>\uf34c<span class="blank"> </span>\uf0da</span> </div><div class="t m0 x1 hf y95 ff5 fs3 fc0 sc0 lsa ws5"> </div><div class="t m0 x1d h1b y96 ff4 fs3 fc0 sc0 lsa ws5"> </div><div class="t m0 x1 hf y97 ff5 fs3 fc0 sc0 lsa ws5"> </div><div class="t m0 x1 hf y98 ff5 fs3 fc0 sc0 lsa ws5"> <span class="blank _c"> </span> </div></div><div class="c x0 y3d wc h1a"><div class="t m0 x1b h1b y3e ff4 fs3 fc1 sc0 lsa ws5"><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"><img fetchpriority="low" loading="lazy" class="bi x0 y99 wd h3a" alt="" src="https://files.passeidireto.com/35619602-df41-482e-808a-103b2ba7de93/bg4.png"><div class="c x0 y1 w2 h0"><div class="t m0 x1 hf y9a ff5 fs3 fc0 sc0 lsa ws5"> </div><div class="t m0 x1 h2 y9b ff1 fs0 fc0 sc0 lsa ws5">MATEMÁTICA (<span class="ls49 ws3d">61</span><span class="ws1">)</span><span class="ff2"> Cátedra<span class="blank _5"></span> A:<span class="blank _3"> </span> NUÑEZ,<span class="blank _0"></span> MYRIA<span class="blank _0"></span>M<span class="ff1"> 2° PA<span class="blank _0"></span>RCIAL </span></span></div><div class="t m0 x1 h2 y9c ff2 fs0 fc0 sc0 lsa ws5"> </div><div class="t m0 x1 h2 y9d ff2 fs0 fc0 sc0 lsa ws5">APELLIDO Y NOMB<span class="blank _5"></span>RE: <span class="blank _0"></span> <span class="blank _5"></span> <span class="blank _5"></span> DNI:<span class="ff1"> <span class="blank _d"> </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 <span class="blank _0"></span>1 </span></div><div class="t m0 x3 h2 y9e ff2 fs0 fc0 sc0 lsa ws5">Hoja 4 de 4 </div><div class="t m0 x3 h2 y9f ff2 fs0 fc0 sc0 lsa ws5"> </div><div class="t m0 x1 he ya0 ff3 fs2 fc0 sc0 ls2c">4<span class="ls3c ws5">. <span class="blank _b"> </span><span class="lsa">Dados<span class="blank _3"> </span> <span class="blank _b"> </span>los <span class="blank _a"> </span>vectores <span class="blank _a"> </span><span class="ff7">\uee9b</span></span></span></div></div><div class="c x0 y1 we h0"><div class="t m0 x4d he ya1 ff7 fs2 fc0 sc0 lsa">\udb80\uddcd</div></div><div class="c x4e y1 wf h0"><div class="t m0 x4f he ya1 ff7 fs2 fc0 sc0 lsa">\udb80\uddcd</div></div><div class="c x50 y1 w10 h0"><div class="t m0 x51 he ya1 ff7 fs2 fc0 sc0 lsa">\ueb26</div></div><div class="c x0 y1 w2 h0"><div class="t m0 x4c h1d ya0 ff7 fs2 fc0 sc0 ls41">\uf34c<span class="ls13 v2">\udb80\udddb</span><span class="lsa ws3e">\uf0da\ue7e2<span class="blank"> </span>\uf0db\ue7e2<span class="blank"> </span>\uf346\uf0de<span class="ls13 v2">\udb80\udddc</span><span class="ws3f">\ue603\ue7e1<span class="blank"> </span>\uee9c</span></span></div></div><div class="c x0 y1 w11 h0"><div class="t m0 x46 he ya1 ff7 fs2 fc0 sc0 lsa">\udb80\uddcd</div></div><div class="c x43 y1 w12 h0"><div class="t m0 x4f he ya1 ff7 fs2 fc0 sc0 lsa">\udb80\uddcd</div></div><div class="c x43 y1 w13 h0"><div class="t m0 x4f he ya1 ff7 fs2 fc0 sc0 lsa">\ueb26</div></div><div class="c x0 y1 w2 h0"><div class="t m0 x3b h1d ya0 ff7 fs2 fc0 sc0 ls41">\uf34c<span class="ls13 v2">\udb80\udddb</span><span class="lsa ws3e">\uf346\uf0da\ue7e2<span class="blank"> </span>\uf0da\ue7e2<span class="blank"> </span>\uf0da<span class="ls13 v2">\udb80\udddc</span><span class="ws40">\ue7e1<span class="blank"> </span>\uee9d</span></span></div></div><div class="c x0 y1 w14 h0"><div class="t m0 x52 he ya0 ff7 fs2 fc0 sc0 lsa">\udb80\uddcd</div></div><div class="c x53 y1 w15 h0"><div class="t m0 x4f he ya0 ff7 fs2 fc0 sc0 lsa">\udb80\uddcd</div></div><div class="c x54 y1 w15 h0"><div class="t m0 x4f he ya0 ff7 fs2 fc0 sc0 lsa">\udb80\uddcd</div></div><div class="c x55 y1 w16 h0"><div class="t m0 x51 he ya0 ff7 fs2 fc0 sc0 lsa">\ueb26</div></div><div class="c x0 y1 w2 h0"><div class="t m0 x2b he ya0 ff7 fs2 fc0 sc0 lsa ws3e">\uf34c<span class="blank _4"> </span>\udb80\udddb\uf0dc\ue7e2<span class="blank"> </span>\uf346\uf0da\ue7e2<span class="blank"> </span>\uf0da\udb80\udddc<span class="blank _3"></span><span class="ff3 ws5"> <span class="blank _b"> </span>hall<span class="blank _3"> </span>ar <span class="blank _a"> </span>el <span class="blank _a"> </span>valor <span class="blank _b"> </span>del <span class="blank _a"> </span>producto </span></div><div class="t m0 x1 he ya2 ff3 fs2 fc0 sc0 lsa ws5">mixto <span class="ff7">\uee9b</span></div></div><div class="c x0 y1 w17 h0"><div class="t m0 x1d he ya3 ff7 fs2 fc0 sc0 lsa">\udb80\uddcd</div></div><div class="c x41 y1 wf h0"><div class="t m0 x4f he ya3 ff7 fs2 fc0 sc0 lsa">\udb80\uddcd</div></div><div class="c x56 y1 w18 h0"><div class="t m0 x51 he ya3 ff7 fs2 fc0 sc0 lsa">\ueb26</div></div><div class="c x0 y1 w2 h0"><div class="t m0 x57 h1d ya2 ff7 fs2 fc0 sc0 ls42">\ue7e4<span class="ls13 v2">\udb80\udddb</span><span class="lsa">\uee9c</span></div></div><div class="c x0 y1 w19 h0"><div class="t m0 x58 he ya3 ff7 fs2 fc0 sc0 lsa">\udb80\uddcd</div></div><div class="c x59 y1 w1a h0"><div class="t m0 x4f he ya3 ff7 fs2 fc0 sc0 lsa">\udb80\uddcd</div></div><div class="c x59 y1 w1b h0"><div class="t m0 x4f he ya3 ff7 fs2 fc0 sc0 lsa">\ueb26</div></div><div class="c x0 y1 w2 h0"><div class="t m0 x5a he ya2 ff7 fs2 fc0 sc0 lsa ws7">\uee9e\uee9d</div></div><div class="c x0 y1 w1c h0"><div class="t m0 x5b he ya2 ff7 fs2 fc0 sc0 lsa">\udb80\uddcd</div></div><div class="c x5c y1 w15 h0"><div class="t m0 x4f he ya2 ff7 fs2 fc0 sc0 lsa">\udb80\uddcd</div></div><div class="c x4b y1 w15 h0"><div class="t m0 x4f he ya2 ff7 fs2 fc0 sc0 lsa">\udb80\uddcd</div></div><div class="c x4b y1 w1d h0"><div class="t m0 x51 he ya2 ff7 fs2 fc0 sc0 lsa">\ueb26</div></div><div class="c x0 y1 w2 h0"><div class="t m0 x5d he ya4 ff7 fs2 fc0 sc0 ls13">\udb80\udddc<span class="lsa ws7 v3">\ue7e4<span class="ff3 ws5"> </span></span></div><div class="t m0 x1 h6 ya5 ff3 fs3 fc0 sc0 lsa ws5"> </div><div class="t m0 x1 h11 ya6 ff5 fs3 fc0 sc0 lsa ws5">Para de<span class="blank _0"></span>terminar el<span class="blank _5"></span> producto mix<span class="blank _5"></span>to lo primero<span class="blank _0"></span> que<span class="blank _0"></span> debe<span class="blank _0"></span>mos hallar<span class="blank _5"></span> es el pro<span class="blank _5"></span>ducto vectorial <span class="ff7">\uee9c</span></div></div><div class="c x0 y1 w1e h0"><div class="t m0 x5e h11 ya7 ff7 fs3 fc0 sc0 lsa">\udb80\uddcd</div></div><div class="c x5f y1 w1f h0"><div class="t m0 x4f h11 ya7 ff7 fs3 fc0 sc0 lsa">\udb80\uddcd</div></div><div class="c x5f y1 w20 h0"><div class="t m0 x4f h11 ya7 ff7 fs3 fc0 sc0 lsa">\ueb26</div></div><div class="c x0 y1 w2 h0"><div class="t m0 x60 h11 ya6 ff7 fs3 fc0 sc0 lsa ws8">\uee9e\uee9d</div></div><div class="c x0 y1 w21 h0"><div class="t m0 x61 h11 ya8 ff7 fs3 fc0 sc0 lsa">\udb80\uddcd</div></div><div class="c x62 y1 w22 h0"><div class="t m0 x4f h11 ya8 ff7 fs3 fc0 sc0 lsa">\udb80\uddcd</div></div><div class="c x63 y1 w22 h0"><div class="t m0 x4f h11 ya8 ff7 fs3 fc0 sc0 lsa">\udb80\uddcd</div></div><div class="c x64 y1 w23 h0"><div class="t m0 x51 h11 ya8 ff7 fs3 fc0 sc0 lsa">\ueb26</div></div><div class="c x0 y1 w2 h0"><div class="t m0 x65 h6 ya6 ff3 fs3 fc0 sc0 lsa ws5"> <span class="ff5"> (el e<span class="blank _5"></span>star indicad<span class="blank _5"></span>o </span></div><div class="t m0 x1 hf ya9 ff5 fs3 fc0 sc0 lsa ws5">entre paréntesis si<span class="blank _5"></span>g<span class="blank _3"> </span>nifica<span class="blank _5"></span> <span class="blank _3"> </span>que lo debemos<span class="blank _5"></span> <span class="blank _3"> </span>resolver an<span class="blank _5"></span>t<span class="blank _3"> </span>es del producto es<span class="blank _5"></span>calar). </div><div class="t m0 x1f h11 yaa ff7 fs3 fc0 sc0 lsa">\uee9c</div></div><div class="c x0 y1 w24 h0"><div class="t m0 x1f h11 yab ff7 fs3 fc0 sc0 lsa">\udb80\uddcd</div></div><div class="c x3e y1 w1f h0"><div class="t m0 x4f h11 yab ff7 fs3 fc0 sc0 lsa">\udb80\uddcd</div></div><div class="c x3e y1 w25 h0"><div class="t m0 x4f h11 yab ff7 fs3 fc0 sc0 lsa">\ueb26</div></div><div class="c x0 y1 w2 h0"><div class="t m0 x25 h11 yaa ff7 fs3 fc0 sc0 lsa ws8">\uee9e\uee9d</div></div><div class="c x0 y1 w26 h0"><div class="t m0 x66 h11 yac ff7 fs3 fc0 sc0 lsa">\udb80\uddcd</div></div><div class="c x29 y1 w22 h0"><div class="t m0 x4f h11 yac ff7 fs3 fc0 sc0 lsa">\udb80\uddcd</div></div><div class="c x29 y1 w22 h0"><div class="t m0 x4f h11 yac ff7 fs3 fc0 sc0 lsa">\udb80\uddcd</div></div><div class="c x43 y1 w27 h0"><div class="t m0 x51 h11 yac ff7 fs3 fc0 sc0 lsa">\ueb26</div></div><div class="c x0 y1 w2 h0"><div class="t m0 x67 h10 yaa ff7 fs3 fc0 sc0 ls6">\uf34c<span class="lsa ws8 v2">\udb80\udddb</span><span class="lsa ws12">\uf346\uf0da\ue7e2<span class="blank"> </span>\uf0da\ue7e2<span class="blank"> </span>\uf0da<span class="ws8 v2">\udb80\udddc<span class="v3">\ue603\uee9e\ue603</span>\udb80\udddb</span><span class="ws41">\uf0dc\ue7e2<span class="blank"> </span>\uf346\uf0da\ue7e2<span class="blank"> </span>\uf0da<span class="ls43 v2">\udb80\udddc</span><span class="ff3 ws5"> </span></span></span></div><div class="t m0 x50 h11 yad ff7 fs3 fc0 sc0 lsa">\uee9c</div></div><div class="c x0 y1 w28 h0"><div class="t m0 x50 h11 yae ff7 fs3 fc0 sc0 lsa">\udb80\uddcd</div></div><div class="c x68 y1 w29 h0"><div class="t m0 x4f h11 yae ff7 fs3 fc0 sc0 lsa">\udb80\uddcd</div></div><div class="c x68 y1 w2a h0"><div class="t m0 x4f h11 yae ff7 fs3 fc0 sc0 lsa">\ueb26</div></div><div class="c x0 y1 w2 h0"><div class="t m0 x4c h11 yad ff7 fs3 fc0 sc0 lsa ws8">\uee9e\uee9d</div></div><div class="c x0 y1 w2b h0"><div class="t m0 x69 h11 yaf ff7 fs3 fc0 sc0 lsa">\udb80\uddcd</div></div><div class="c x6a y1 w22 h0"><div class="t m0 x4f h11 yaf ff7 fs3 fc0 sc0 lsa">\udb80\uddcd</div></div><div class="c x6b y1 w22 h0"><div class="t m0 x4f h11 yaf ff7 fs3 fc0 sc0 lsa">\udb80\uddcd</div></div><div class="c x6c y1 w2c h0"><div class="t m0 x51 h11 yaf ff7 fs3 fc0 sc0 lsa">\ueb26</div></div><div class="c x0 y1 w2 h0"><div class="t m0 x6d h10 yad ff7 fs3 fc0 sc0 ls6">\uf34c<span class="lsa ws8 v2">\udb80\udddb</span><span class="lsa ws24">\uf0da\ue7e4<span class="blank"> </span>\uf0da<span class="blank _b"> </span>\uf346<span class="blank _b"> </span>\uf0da<span class="ws8 v2">\udb80\udddb<span class="v3">\uf346\uf0da</span>\udb80\udddc</span><span class="ws12">\ue7e2<span class="blank"> </span>\uf0da\ue7e4<span class="blank"> </span>\uf0dc<span class="blank _a"> </span>\uf346<span class="blank _b"> </span><span class="ws8 v2">\udb80\udddb<span class="v3">\uf346\uf0da</span>\udb80\udddc</span><span class="ws42">\ue7e4<span class="blank"> </span>\uf0da\ue7e2<span class="blank _f"> </span><span class="ls43 v2">\udb80\udddb</span><span class="ws8">\uf346\uf0da<span class="v2">\udb80\udddc</span><span class="ls44">\ue7e4</span><span class="v2">\udb80\udddb</span>\uf346\uf0da<span class="ls24 v2">\udb80\udddc</span><span class="ws43">\uf346<span class="blank _a"> </span>\uf0da\ue7e4<span class="blank"> </span>\uf0dc<span class="ls43 v2">\udb80\udddc</span><span class="ff3 ws5"> </span></span></span></span></span></span></div><div class="t m0 x6e h11 yb0 ff7 fs3 fc0 sc0 lsa">\uee9c</div></div><div class="c x0 y1 w2d h0"><div class="t m0 x6e he yb0 ff7 fs2 fc0 sc0 lsa">\udb80\uddcd</div></div><div class="c x21 y1 w2e h0"><div class="t m0 x51 he yb0 ff7 fs2 fc0 sc0 lsa">\ueb26</div></div><div class="c x0 y1 w2 h0"><div class="t m0 x3c h11 yb0 ff7 fs3 fc0 sc0 lsa ws8">\uee9e\uee9d</div></div><div class="c x0 y1 w2f h0"><div class="t m0 x6f he yb0 ff7 fs2 fc0 sc0 lsa">\udb80\uddcd</div></div><div class="c x8 y1 w30 h0"><div class="t m0 x4f he yb0 ff7 fs2 fc0 sc0 lsa">\udb80\uddcd</div></div><div class="c x70 y1 w31 h0"><div class="t m0 x51 he yb0 ff7 fs2 fc0 sc0 lsa">\ueb26</div></div><div class="c x0 y1 w2 h0"><div class="t m0 x2f h1d yb0 ff7 fs3 fc0 sc0 ls45">\uf34c<span class="fs2 ls46 v2">\udb80\udddb</span><span class="lsa ws44">\uf0db\ue7e2<span class="blank"> </span>\uf0dd\ue7e2<span class="blank"> </span>\uf346\uf0db<span class="fs2 ws7 v2">\udb80\udddc</span><span class="ff3 ws5"> </span></span></div><div class="t m0 x1 hf yb1 ff5 fs3 fc0 sc0 lsa ws5">A continuación calculam<span class="blank _5"></span>os el producto escalar: </div><div class="t m0 x71 h11 yb2 ff7 fs3 fc0 sc0 lsa">\uee9b</div></div><div class="c x0 y1 w32 h0"><div class="t m0 x71 h11 yb3 ff7 fs3 fc0 sc0 lsa">\udb80\uddcd</div></div><div class="c xf y1 wf h0"><div class="t m0 x4f h11 yb3 ff7 fs3 fc0 sc0 lsa">\udb80\uddcd</div></div><div class="c xf y1 w33 h0"><div class="t m0 x51 h11 yb3 ff7 fs3 fc0 sc0 lsa">\ueb26</div></div><div class="c x0 y1 w2 h0"><div class="t m0 x72 h10 yb2 ff7 fs3 fc0 sc0 ls20">\ue7e4<span class="lsa ws8 v2">\udb80\udddb</span><span class="lsa">\uee9c</span></div></div><div class="c x0 y1 w34 h0"><div class="t m0 x73 h11 yb3 ff7 fs3 fc0 sc0 lsa">\udb80\uddcd</div></div><div class="c x74 y1 w35 h0"><div class="t m0 x4f h11 yb3 ff7 fs3 fc0 sc0 lsa">\udb80\uddcd</div></div><div class="c x74 y1 w36 h0"><div class="t m0 x4f h11 yb3 ff7 fs3 fc0 sc0 lsa">\ueb26</div></div><div class="c x0 y1 w2 h0"><div class="t m0 x75 h11 yb2 ff7 fs3 fc0 sc0 lsa ws8">\uee9e\uee9d</div></div><div class="c x0 y1 w37 h0"><div class="t m0 x76 h11 yb4 ff7 fs3 fc0 sc0 lsa">\udb80\uddcd</div></div><div class="c x77 y1 w22 h0"><div class="t m0 x4f h11 yb4 ff7 fs3 fc0 sc0 lsa">\udb80\uddcd</div></div><div class="c x78 y1 w22 h0"><div class="t m0 x4f h11 yb4 ff7 fs3 fc0 sc0 lsa">\udb80\uddcd</div></div><div class="c x4d y1 w38 h0"><div class="t m0 x51 h11 yb4 ff7 fs3 fc0 sc0 lsa">\ueb26</div></div><div class="c x0 y1 w2 h0"><div class="t m0 x4e h11 yb5 ff7 fs3 fc0 sc0 ls47">\udb80\udddc<span class="ls48 v3">\uf34c</span><span class="lsa ws8">\udb80\udddb<span class="ws12 v3">\uf0da\ue7e2<span class="blank"> </span>\uf0db\ue7e2<span class="blank"> </span>\uf346\uf0de</span>\udb80\udddc<span class="ls44 v3">\ue7e4</span>\udb80\udddb<span class="ws12 v3">\uf0db\ue7e2<span class="blank"> </span>\uf0dd\ue7e2<span class="blank"> </span>\uf346\uf0db</span><span class="ls3">\udb80\udddc</span><span class="ws45 v3">\uf43a<span class="blank"> </span>\uee9b</span></span></div></div><div class="c x0 y1 w39 h0"><div class="t m0 x2a h11 yb3 ff7 fs3 fc0 sc0 lsa">\udb80\uddcd</div></div><div class="c x79 y1 wf h0"><div class="t m0 x4f h11 yb3 ff7 fs3 fc0 sc0 lsa">\udb80\uddcd</div></div><div class="c x7a y1 w3a h0"><div class="t m0 x51 h11 yb3 ff7 fs3 fc0 sc0 lsa">\ueb26</div></div><div class="c x0 y1 w2 h0"><div class="t m0 x7b h10 yb2 ff7 fs3 fc0 sc0 ls20">\ue7e4<span class="lsa ws8 v2">\udb80\udddb</span><span class="lsa">\uee9c</span></div></div><div class="c x0 y1 w3b h0"><div class="t m0 x7c h11 yb3 ff7 fs3 fc0 sc0 lsa">\udb80\uddcd</div></div><div class="c x23 y1 w1f h0"><div class="t m0 x4f h11 yb3 ff7 fs3 fc0 sc0 lsa">\udb80\uddcd</div></div><div class="c x22 y1 w3c h0"><div class="t m0 x4f h11 yb3 ff7 fs3 fc0 sc0 lsa">\ueb26</div></div><div class="c x0 y1 w2 h0"><div class="t m0 x7d h11 yb2 ff7 fs3 fc0 sc0 lsa ws8">\uee9e\uee9d</div></div><div class="c x0 y1 w3d h0"><div class="t m0 x53 h11 yb4 ff7 fs3 fc0 sc0 lsa">\udb80\uddcd</div></div><div class="c x55 y1 w22 h0"><div class="t m0 x4f h11 yb4 ff7 fs3 fc0 sc0 lsa">\udb80\uddcd</div></div><div class="c x7e y1 w22 h0"><div class="t m0 x4f h11 yb4 ff7 fs3 fc0 sc0 lsa">\udb80\uddcd</div></div><div class="c x44 y1 w3e h0"><div class="t m0 x51 h11 yb4 ff7 fs3 fc0 sc0 lsa">\ueb26</div></div><div class="c x0 y1 w2 h0"><div class="t m0 x2b h11 yb5 ff7 fs3 fc0 sc0 ls3">\udb80\udddc<span class="lsa ws24 v3">\uf34c<span class="blank _9"> </span>\uf0da\ue7e4<span class="blank"> </span>\uf0db<span class="blank _b"> </span>\uf345<span class="blank _a"> </span>\uf0db\ue7e4<span class="blank"> </span>\uf0dd<span class="blank _b"> </span>\uf345<span class="blank _b"> </span></span><span class="lsa ws8">\udb80\udddb<span class="v3">\uf346<span class="blank _3"></span>\uf0de</span>\udb80\udddc<span class="ls44 v3">\ue7e4</span>\udb80\udddb<span class="v3">\uf346\uf0db</span>\udb80\udddc<span class="ff3 ws5 v3"> </span></span></div><div class="t m0 x2e h11 yb6 ff7 fs3 fc0 sc0 lsa">\uee9b</div></div><div class="c x0 y1 w3f h0"><div class="t m0 x2e h11 yb7 ff7 fs3 fc0 sc0 lsa">\udb80\uddcd</div></div><div class="c x7f y1 wf h0"><div class="t m0 x4f h11 yb7 ff7 fs3 fc0 sc0 lsa">\udb80\uddcd</div></div><div class="c x80 y1 w40 h0"><div class="t m0 x51 h11 yb7 ff7 fs3 fc0 sc0 lsa">\ueb26</div></div><div class="c x0 y1 w2 h0"><div class="t m0 x81 h10 yb6 ff7 fs3 fc0 sc0 ls20">\ue7e4<span class="lsa ws8 v2">\udb80\udddb</span><span class="lsa">\uee9c</span></div></div><div class="c x0 y1 w41 h0"><div class="t m0 x82 h11 yb7 ff7 fs3 fc0 sc0 lsa">\udb80\uddcd</div></div><div class="c x4a y1 w12 h0"><div class="t m0 x4f h11 yb7 ff7 fs3 fc0 sc0 lsa">\udb80\uddcd</div></div><div class="c x4a y1 w42 h0"><div class="t m0 x4f h11 yb7 ff7 fs3 fc0 sc0 lsa">\ueb26</div></div><div class="c x0 y1 w2 h0"><div class="t m0 x83 h11 yb6 ff7 fs3 fc0 sc0 lsa ws8">\uee9e\uee9d</div></div><div class="c x0 y1 w43 h0"><div class="t m0 x1f h11 yb8 ff7 fs3 fc0 sc0 lsa">\udb80\uddcd</div></div><div class="c x3e y1 w22 h0"><div class="t m0 x4f h11 yb8 ff7 fs3 fc0 sc0 lsa">\udb80\uddcd</div></div><div class="c x84 y1 w22 h0"><div class="t m0 x4f h11 yb8 ff7 fs3 fc0 sc0 lsa">\udb80\uddcd</div></div><div class="c x85 y1 w44 h0"><div class="t m0 x51 h11 yb8 ff7 fs3 fc0 sc0 lsa">\ueb26</div></div><div class="c x0 y1 w2 h0"><div class="t m0 x3f h11 yb9 ff7 fs3 fc0 sc0 ls3">\udb80\udddc<span class="lsa ws46 v3">\uf34c<span class="blank _9"> </span>\uf0db<span class="blank"> </span>\uf345<span class="blank"> </span>\uf0e1<span class="blank"> </span>\uf345<span class="blank"> </span></span><span class="lsf ws47 v3">\uf0da\uf0d9<span class="blank"> </span></span><span class="lsa ws48 v3">\uf43a<span class="blank"> </span>\uee9b</span></div></div><div class="c x0 y1 w45 h0"><div class="t m0 x86 h11 yb7 ff7 fs3 fc0 sc0 lsa">\udb80\uddcd</div></div><div class="c x54 y1 wf h0"><div class="t m0 x4f h11 yb7 ff7 fs3 fc0 sc0 lsa">\udb80\uddcd</div></div><div class="c x55 y1 w46 h0"><div class="t m0 x51 h11 yb7 ff7 fs3 fc0 sc0 lsa">\ueb26</div></div><div class="c x0 y1 w2 h0"><div class="t m0 x44 h10 yb6 ff7 fs3 fc0 sc0 ls20">\ue7e4<span class="lsa ws8 v2">\udb80\udddb</span><span class="lsa">\uee9c</span></div></div><div class="c x0 y1 w47 h0"><div class="t m0 x40 h11 yb7 ff7 fs3 fc0 sc0 lsa">\udb80\uddcd</div></div><div class="c x87 y1 w1f h0"><div class="t m0 x4f h11 yb7 ff7 fs3 fc0 sc0 lsa">\udb80\uddcd</div></div><div class="c x87 y1 w48 h0"><div class="t m0 x4f h11 yb7 ff7 fs3 fc0 sc0 lsa">\ueb26</div></div><div class="c x0 y1 w2 h0"><div class="t m0 x88 h11 yb6 ff7 fs3 fc0 sc0 lsa ws8">\uee9e\uee9d</div></div><div class="c x0 y1 w49 h0"><div class="t m0 x89 h11 yb8 ff7 fs3 fc0 sc0 lsa">\udb80\uddcd</div></div><div class="c x35 y1 w22 h0"><div class="t m0 x4f h11 yb8 ff7 fs3 fc0 sc0 lsa">\udb80\uddcd</div></div><div class="c x8a y1 w22 h0"><div class="t m0 x4f h11 yb8 ff7 fs3 fc0 sc0 lsa">\udb80\uddcd</div></div><div class="c x8b y1 w4a h0"><div class="t m0 x51 h11 yb8 ff7 fs3 fc0 sc0 lsa">\ueb26</div></div><div class="c x0 y1 w2 h0"><div class="t m0 x8c h11 yb9 ff7 fs3 fc0 sc0 ls47">\udb80\udddc<span class="ls6 v3">\uf34c<span class="lsf wsf">\uf0db\uf0d9<span class="ff5 lsa ws5"> </span></span></span></div><div class="t m0 x1 hf yba ff5 fs3 fc0 sc0 lsa ws5"> </div><div class="t m0 x1 h6 ybb ff3 fs3 fc0 sc0 lsa ws5"> </div><div class="t m0 x1 hf ybc ff5 fs3 fc0 sc0 lsa ws5"> </div></div><div class="c x0 ybd wc h3b"><div class="t m0 x1b h1b y3e ff4 fs3 fc1 sc0 lsa ws5"><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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