<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/308d7641-a7ab-4c3f-b692-b126b313113d/bg1.png"><div class="c x0 y1 w2 h0"><div class="t m0 x1 h2 y2 ff1 fs0 fc0 sc0 lsf ws1f">MATEMÁTICA (<span class="ls10 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 lsf ws1f">2° PARCIAL </div><div class="t m0 x2 h2 y4 ff1 fs0 fc0 sc0 lsf ws1f"> </div><div class="t m0 x1 h2 y5 ff2 fs0 fc0 sc0 lsf ws1f"> </div><div class="t m0 x1 h3 y6 ff2 fs1 fc0 sc0 lsf ws1f"> </div><div class="t m0 x1 h2 y7 ff2 fs0 fc0 sc0 ls11 ws2">14<span class="lsf ws3">/06/2023<span class="ff1 ws1f"> <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 3 </span></span></div><div class="t m0 x3 h2 y8 ff2 fs0 fc0 sc0 lsf ws1f"> Hoja 1 de 4 </div><div class="t m0 x3 h2 y9 ff2 fs0 fc0 sc0 lsf ws1f"> </div><div class="t m0 x1 h3 ya ff2 fs1 fc0 sc0 lsf ws1f"> </div><div class="t m0 x1 h3 yb ff2 fs1 fc0 sc0 lsf ws1f"> </div><div class="t m0 x1 h4 yc ff3 fs2 fc0 sc0 lsf ws1f">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 lsf ws1f"> </div></div><div class="c x6 yd w4 h5"><div class="t m0 x7 h6 ye ff3 fs3 fc0 sc0 lsf ws1f">1 </div></div><div class="c x8 yd w5 h5"><div class="t m0 x7 h6 ye ff3 fs3 fc0 sc0 lsf ws1f">2 </div></div><div class="c x9 yd w6 h5"><div class="t m0 x7 h6 ye ff3 fs3 fc0 sc0 lsf ws1f">3 </div></div><div class="c xa yd w7 h5"><div class="t m0 x7 h6 ye ff3 fs3 fc0 sc0 lsf ws1f">4 </div></div><div class="c x4 yf w3 h7"><div class="t m0 xb h8 y10 ff4 fs2 fc0 sc0 lsf ws1f"> </div></div><div class="c x6 yf w4 h7"><div class="t m0 xb h8 y10 ff4 fs2 fc0 sc0 lsf ws1f"> </div></div><div class="c x8 yf w5 h7"><div class="t m0 xb h8 y10 ff4 fs2 fc0 sc0 lsf ws1f"> </div></div><div class="c x9 yf w6 h7"><div class="t m0 xb h8 y10 ff4 fs2 fc0 sc0 lsf ws1f"> </div></div><div class="c xa yf w7 h7"><div class="t m0 xb h8 y10 ff4 fs2 fc0 sc0 lsf ws1f"> </div></div><div class="c x4 y11 w5 h9"><div class="t m0 xb ha y12 ff4 fs4 fc0 sc0 lsf ws1f">Puntaje de cada </div><div class="t m0 xb ha y13 ff4 fs4 fc0 sc0 lsf ws1f">ejercicio </div></div><div class="c x6 y11 w4 h9"><div class="t m0 xc h8 y14 ff4 fs2 fc0 sc0 lsf ws1f">2,50 </div></div><div class="c x8 y11 w5 h9"><div class="t m0 xc h8 y14 ff4 fs2 fc0 sc0 lsf ws1f">2,50 </div></div><div class="c x9 y11 w6 h9"><div class="t m0 xc h8 y14 ff4 fs2 fc0 sc0 lsf ws1f">2,50 </div></div><div class="c xa y11 w7 h9"><div class="t m0 xc h8 y14 ff4 fs2 fc0 sc0 lsf ws1f">2,50 </div></div><div class="c x0 y1 w2 h0"><div class="t m0 x1 hb y15 ff5 fs5 fc0 sc0 lsf ws1f">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 lsf ws1f">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 lsf ws1f"> </div><div class="t m0 x1 he y18 ff3 fs3 fc0 sc0 lsf ws1f">1. Hallar los interv<span class="blank _0"></span>alos de crecimien<span class="blank _0"></span>to de <span class="blank _0"></span>la función <span class="ff7 ws5">\uee8c\udb80\udddb\uee9e\udb80\udddc<span class="blank"> </span>\uf34c<span class="blank"> </span><span class="fs0 v1">\uf0da</span></span></div><div class="t m0 xf hf y19 ff7 fs0 fc0 sc0 ls0">\uf0dc<span class="fs3 lsf ws6 v2">\uee9e</span><span class="ls1 v3">\uf0dc</span><span class="fs3 lsf ws7 v2">\uf345<span class="blank"> </span>\uee9e</span><span class="ls2 v3">\uf0db</span><span class="fs3 lsf ws8 v2">\ue603<span class="blank"> </span>\uf346<span class="blank _4"> </span>\ue603<span class="ls12 ws9">\uf0dc\uee9e<span class="ff3 lsf ws1f"> </span></span></span></div><div class="t m0 x1 h6 y1a ff3 fs3 fc0 sc0 lsf ws1f"> </div><div class="t m0 x1 h10 y1b ff5 fs3 fc0 sc0 lsf ws1f">Para <span class="blank _5"> </span>analiz<span class="blank _0"></span>ar <span class="blank _5"> </span>el <span class="blank _5"> </span>creci<span class="blank _0"></span>miento<span class="blank _0"></span> <span class="blank _5"> </span>de <span class="blank _5"> </span>una<span class="blank _0"></span> <span class="blank _5"> </span>función <span class="blank _5"> </span>es<span class="blank _0"></span> <span class="blank _5"> </span>necesario <span class="blank _5"> </span>d<span class="blank _0"></span>eterminar<span class="blank _0"></span> <span class="blank _5"> </span>prev<span class="blank _0"></span>iamente <span class="blank _5"> </span>su <span class="blank _5"> </span>do<span class="blank _0"></span>minio.<span class="blank _0"></span> <span class="blank _5"> </span>En <span class="blank _5"> </span>este<span class="blank _0"></span> <span class="blank _5"> </span>caso <span class="blank _5"> </span>la </div><div class="t m0 x1 h11 y1c ff5 fs3 fc0 sc0 lsf ws1f">función es una <span class="blank _0"></span>función poli<span class="blank _0"></span>nómica por lo tan<span class="blank _0"></span>to: <span class="ff7 ws6">\uee70\uee95\uee93<span class="v4">\udb80\udddb</span><span class="ls3">\uee8c<span class="ls4 v4">\udb80\udddc</span></span><span class="wsa">\uf34c<span class="blank"> </span>\ueb39</span></span> . </div><div class="t m0 x1 h10 y1d ff5 fs3 fc0 sc0 lsf ws1f">Teniendo <span class="blank _5"> </span>en <span class="blank _5"> </span>cuenta <span class="blank _5"> </span>que<span class="blank _0"></span> <span class="blank _5"> </span>en <span class="blank _5"> </span>los <span class="blank _5"> </span>intervalos <span class="blank _5"> </span>de <span class="blank _5"> </span>cre<span class="blank _0"></span>cimiento <span class="blank _5"> </span>de <span class="blank _5"> </span>una <span class="blank _5"> </span>funci<span class="blank _0"></span>ón, <span class="blank _5"> </span>su <span class="blank _5"> </span>derivada <span class="blank _5"> </span>es <span class="blank _5"> </span>posi<span class="blank _0"></span>tiva, <span class="blank _5"> </span>hallamos <span class="blank _5"> </span>la<span class="blank _0"></span> </div><div class="t m0 x1 h12 y1e ff5 fs3 fc0 sc0 lsf ws1f">derivada de la <span class="blank _0"></span>función <span class="ff7 ls3">\uee8c</span> y deter<span class="blank _0"></span>minamos el con<span class="blank _0"></span>junto de positiv<span class="blank _0"></span>idad de <span class="ff7 ws6">\uee8c\ue7b2</span> . </div><div class="t m0 x10 h13 y1f ff7 fs3 fc0 sc0 ls3">\uee8c<span class="lsf ws6 v4">\udb80\udddb<span class="v5">\uee9e</span><span class="ls5">\udb80\udddc</span></span><span class="ls6">\uf34c<span class="lsf v6">\uf0da</span></span></div><div class="t m0 x11 h14 y20 ff7 fs3 fc0 sc0 ls7">\uf0dc<span class="lsf ws6 v7">\uee9e</span><span class="fs0 ls1 v8">\uf0dc</span><span class="lsf wsb v7">\uf345<span class="blank"> </span>\uee9e</span><span class="fs0 ls8 v8">\uf0db</span><span class="lsf ws8 v7">\ue603<span class="blank"> </span>\uf346<span class="blank _4"> </span>\ue603</span><span class="ls12 ws9 v7">\uf0dc\uee9e</span><span class="lsf wsc v7">\ue603<span class="blank"> </span>\uf43a<span class="blank"> </span>\uee8c\ue7b2</span><span class="lsf ws6 v9">\udb80\udddb<span class="v5">\uee9e</span><span class="ls5">\udb80\udddc</span></span><span class="lsf wsa v7">\uf34c<span class="blank"> </span>\uee9e</span><span class="fs0 ls1 v8">\uf0db</span><span class="ls9 v7">\uf345<span class="ls12 wsd">\uf0db\uee9e<span class="blank"> </span><span class="lsf ws7">\uf346<span class="blank"> </span>\uf0dc\ue603<span class="ff3 ws1f"> </span></span></span></span></div><div class="t m0 x1 h12 y21 ff5 fs3 fc0 sc0 lsf ws1f">Para determinar los<span class="blank _0"></span> puntos crí<span class="blank _0"></span>ticos hallamos<span class="blank _0"></span> los ceros de <span class="ff7 ws6">\uee8c\ue7b2</span>. </div><div class="t m0 x12 h12 y22 ff7 fs3 fc0 sc0 lsf ws6">\uee9e<span class="fs0 ls1 va">\uf0db</span><span class="lsa">\uf345<span class="ls12 wse">\uf0db\uee9e<span class="blank"> </span></span></span><span class="ws7">\uf346<span class="blank"> </span>\uf0dc<span class="blank _6"> </span>\uf34c<span class="blank _6"> </span>\uf0d9<span class="ff3 ws1f"> </span></span></div><div class="t m0 x13 h15 y23 ff7 fs3 fc0 sc0 lsf ws6">\uee9e<span class="fs0 wsf vb">\uf0da\ue7e1\uf0db<span class="blank"> </span></span><span class="ls6">\uf34c</span><span class="ws10 v6">\uf346\uf0db<span class="blank"> </span>\uf347<span class="blank"> </span></span><span class="v6">\uf3a5<span class="v5">\uf0db</span></span><span class="fs0 ls1 v8">\uf0db</span><span class="ws11 v6">\uf346<span class="blank _4"> </span>\uf0dd\ue7e4<span class="blank"> </span>\uf0da\ue7e4<span class="blank"> </span></span><span class="vc">\udb80\udddb<span class="v5">\uf346\uf0dc</span>\udb80\udddc</span></div><div class="t m0 x14 h16 y24 ff7 fs3 fc0 sc0 lsf ws11">\uf0db\ue7e4<span class="blank"> </span>\uf0da<span class="blank _7"> </span><span class="ws12 v7">\uf43a<span class="blank"> </span>\uee9e</span><span class="fs0 ws13 vd">\uf0da\ue7e1\uf0db<span class="blank"> </span></span><span class="ls6 v7">\uf34c</span><span class="ws14 ve">\uf346\uf0db<span class="blank"> </span>\uf347<span class="blank"> </span></span><span class="ws6 vf">\ue9be</span><span class="ls12 ve">\uf0da\uf0df</span></div><div class="t m0 x15 h17 y24 ff7 fs3 fc0 sc0 lsb">\uf0db<span class="lsf ws12 v7">\uf43a<span class="blank"> </span>\uee9e</span><span class="fs0 lsc vd">\uf0da</span><span class="lsf ws15 v7">\uf34c<span class="blank _6"> </span>\uf0da\ue603<span class="blank"> </span>\uebe8<span class="blank"> </span>\uee9e</span><span class="fs0 lsc vd">\uf0db</span><span class="lsf wsa v7">\uf34c<span class="blank"> </span>\uf346\uf0dc<span class="ff3 ws1f"> </span></span></div><div class="t m0 x1 h11 y25 ff5 fs3 fc0 sc0 lsf ws1f">Los puntos crí<span class="blank _0"></span>ticos de la funci<span class="blank _0"></span>ón son: <span class="ff7 ws6">\uee9e<span class="fs0 lsc vb">\uf0da</span><span class="ws16">\uf34c<span class="blank _6"> </span>\uf0da\ue603<span class="blank"> </span>\uebe8<span class="blank"> </span>\uee9e<span class="fs0 lsc vb">\uf0db</span><span class="ws17">\uf34c<span class="blank"> </span>\uf346\uf0dc</span></span></span><span class="ls13"> <span class="ls14">y <span class="blank _3"> </span><span class="ls15"> </span></span></span><span class="ff7 ws6">\uee8c\ue7b2<span class="v4">\udb80\udddb</span>\uee9e<span class="ls5 v4">\udb80\udddc</span><span class="ls6">\uf34c</span><span class="v4">\udb80\udddb</span><span class="ws18">\uee9e<span class="blank"> </span>\uf346<span class="blank"> </span>\uf0da</span><span class="v4">\udb80\udddc\udb80\udddb</span><span class="ws18">\uee9e<span class="blank"> </span>\uf345<span class="blank"> </span>\uf0dc</span><span class="v4">\udb80\udddc</span></span> </div><div class="t m0 x1 h10 y26 ff5 fs3 fc0 sc0 lsf ws1f">Analizamos los inte<span class="blank _0"></span>rvalos dete<span class="blank _0"></span>rminados<span class="blank _0"></span> en su domini<span class="blank _0"></span>o: </div></div><div class="c x16 y27 w8 h18"><div class="t m0 x17 h12 y28 ff7 fs3 fc0 sc0 lsf ws6">\udb80\udddb<span class="ws19 v5">\uf346\ue9bb\ue7e2<span class="blank"> </span>\uf346\uf0dc</span>\udb80\udddc<span class="ff3 ws1f v5"> </span></div></div><div class="c x18 y27 w8 h18"><div class="t m0 x19 h12 y28 ff7 fs3 fc0 sc0 lsf ws6">\udb80\udddb<span class="ws19 v5">\uf346\uf0dc\ue7e2<span class="blank"> </span>\uf0da</span>\udb80\udddc<span class="ff3 ws1f v5"> </span></div></div><div class="c x1a y27 w9 h18"><div class="t m0 x1b h12 y28 ff7 fs3 fc0 sc0 lsf ws6">\udb80\udddb<span class="ws19 v5">\uf0da\ue7e2<span class="blank"> </span>\uf345\ue9bb</span>\udb80\udddc<span class="ff3 ws1f v5"> </span></div></div><div class="c x16 y29 w8 h19"><div class="t m0 x19 h12 y2a ff7 fs3 fc0 sc0 lsf wsa">\uee9e<span class="blank"> </span>\uf34c<span class="blank"> </span>\uf346\uf0dd<span class="ff3 ws1f"> </span></div><div class="t m0 x1c h1a y2b ff7 fs3 fc0 sc0 lsf ws6">\uee8c\ue7b2<span class="v4">\udb80\udddb</span>\uf346\uf0dd<span class="ls5 v4">\udb80\udddc</span><span class="ws1a">\uf350<span class="blank"> </span>\uf0d9<span class="ff3 ws1f"> </span></span></div><div class="t m0 x1d h1b y2c ff8 fs3 fc0 sc0 lsf ws1f">La función es<span class="blank _0"></span> creciente </div></div><div class="c x18 y29 w8 h19"><div class="t m0 x1e h12 y2d ff7 fs3 fc0 sc0 lsf ws1b">\uee9e<span class="blank"> </span>\uf34c<span class="ff3 ws1f"> </span></div><div class="t m0 x17 h11 y2e ff7 fs3 fc0 sc0 lsf ws6">\uee8c\ue7b2<span class="v4">\udb80\udddb</span><span class="lsd">\uf0d9<span class="ls5 v4">\udb80\udddc</span></span><span class="ws1c">\uf34f<span class="blank"> </span>\uf0d9<span class="ff3 ws1f"> </span></span></div><div class="t m0 x1 h1b y2f ff8 fs3 fc0 sc0 lsf ws1f">La función es<span class="blank _0"></span> </div><div class="t m0 x1f h1b y30 ff8 fs3 fc0 sc0 lsf ws1f">decreciente </div></div><div class="c x1a y29 w9 h19"><div class="t m0 x20 h12 y2a ff7 fs3 fc0 sc0 lsf ws1d">\uee9e<span class="blank"> </span>\uf34c<span class="blank"> </span>\uf0db<span class="ff3 ws1f"> </span></div><div class="t m0 x17 h1a y2b ff7 fs3 fc0 sc0 lsf ws6">\uee8c\ue7b2<span class="v4">\udb80\udddb</span>\uf0db<span class="ls5 v4">\udb80\udddc</span><span class="ws1c">\uf350<span class="blank"> </span>\uf0d9<span class="ff3 ws1f"> </span></span></div><div class="t m0 x1d h1b y2c ff8 fs3 fc0 sc0 lsf ws1f">La función es<span class="blank _0"></span> creciente </div></div><div class="c x0 y1 w2 h0"><div class="t m0 x1 h10 y31 ff5 fs3 fc0 sc0 lsf ws1f"> </div><div class="t m0 x1 h10 y32 ff5 fs3 fc0 sc0 lsf ws1f">Por lo tanto: </div><div class="t m0 x16 h11 y33 ff3 fs3 fc0 sc0 lsf ws1f">La función <span class="ff7 ws6">\uee8c\ue603</span>es crec<span class="blank _0"></span>iente en los <span class="blank _0"></span>intervalos: <span class="ff7 ws6 v4">\udb80\udddb</span><span class="ff7 ws19">\uf346\ue9bb\ue7e2<span class="blank"> </span>\uf346\uf0dc<span class="ws6 v4">\udb80\udddc<span class="blank _0"></span><span class="ff3 lse ws1f v5"> <span class="ls16">y <span class="blank _3"> </span><span class="ff7 lsf ws6 v4">\udb80\udddb<span class="ws1e v5">\uf0da\ue7e2<span class="blank"> </span>\uf345\ue9bb</span>\udb80\udddc</span><span class="lsf"> </span></span></span></span></span></div><div class="t m0 x1 h10 y34 ff5 fs3 fc0 sc0 lsf ws1f"> </div><div class="t m0 x1 h6 y35 ff3 fs3 fc0 sc0 lsf ws1f"> </div><div class="t m0 x1 h6 y36 ff3 fs3 fc0 sc0 lsf ws1f"> <span class="blank _8"> </span> </div></div><div class="c x1 y37 wa h1c"><div class="t m0 x21 h2 y38 ff2 fs0 fc0 sc0 lsf ws1f">APELLIDO: </div></div><div class="c x22 y39 wb h1d"><div class="t m0 xb h2 y3a ff2 fs0 fc0 sc0 lsf ws1f">CALIFICACIÓN:<span class="blank _0"></span> </div></div><div class="c x1 y3b wa h1e"><div class="t m0 xb h2 y14 ff2 fs0 fc0 sc0 lsf ws1f">NOMBRE: </div></div><div class="c x1 y39 wa h1e"><div class="t m0 xb h2 y14 ff2 fs0 fc0 sc0 lsf ws1f">DNI (registrado en S<span class="blank _0"></span>IU Guaran<span class="blank _0"></span>í): </div></div><div class="c x1 y3c wa h1f"><div class="t m0 xb h2 y10 ff2 fs0 fc0 sc0 lsf ws1f">E-MAIL: </div></div><div class="c x22 y3d wb h20"><div class="t m0 xb h2 y3e ff2 fs0 fc0 sc0 lsf ws1f">DOCENTE (nombre<span class="blank _0"></span> y apelli<span class="blank _0"></span>do): </div></div><div class="c x1 y3f wa h1e"><div class="t m0 xb h2 y14 ff2 fs0 fc0 sc0 lsf ws1f">TEL: </div></div><div class="c x1 y3d wa h1e"><div class="t m0 xb h2 y14 ff2 fs0 fc0 sc0 lsf ws1f">AULA: </div></div><div class="c x0 y40 wc h21"><div class="t m0 x21 h22 y41 ff4 fs3 fc1 sc0 lsf ws1f"><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 y42 wd h23" alt="" src="https://files.passeidireto.com/308d7641-a7ab-4c3f-b692-b126b313113d/bg2.png"><div class="c x0 y1 w2 h0"><div class="t m0 x1 h2 y2 ff1 fs0 fc0 sc0 lsf ws1f">MATEMÁTICA (<span class="ls10 ws0">61</span><span class="ws1">)</span><span class="ff2"> Cátedra A: NUÑEZ, MYRIAM</span><span class="ls17"> <span class="ls18"> </span></span>2° PARC<span class="blank _3"> </span>IAL </div><div class="t m0 x1 h2 y3 ff2 fs0 fc0 sc0 lsf ws1f"> </div><div class="t m0 x1 h2 y4 ff2 fs0 fc0 sc0 lsf ws1f">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> <span class="blank _0"></span> DNI:<span class="blank _0"></span><span class="ff1"> <span class="blank _9"> </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 3 </span></div><div class="t m0 x3 h2 y5 ff2 fs0 fc0 sc0 lsf ws1f">Hoja 2 de 4 </div><div class="t m0 x3 h2 y43 ff2 fs0 fc0 sc0 lsf ws1f"> </div><div class="t m0 x1 h24 y44 ff3 fs2 fc0 sc0 lsf ws1f">2. Calcular el área de la región comprendida entre el gráfico de <span class="ff7 ls19">\uee8c<span class="ls1a v4">\udb80\udddb</span><span class="ls1b">\uee9e<span class="ls1c v4">\udb80\udddc</span><span class="lsf ws20">\uf34c<span class="blank"> </span>\uee9e<span class="fs7 ls1d v10">\uf0dc</span><span class="ws21">\uf346<span class="blank"> </span>\uf0da</span></span></span></span> <span class="ls1e">, </span><span class="ff7 ws22">\uee9e<span class="blank"> </span>\uf34c<span class="blank"> </span>\uf346\uf0da</span><span class="ls1e"> <span class="ls2c">y <span class="blank _5"> </span></span></span><span class="ff7 ws23">\uee9e<span class="blank"> </span>\uf34c<span class="blank"> </span>\uf0db</span><span class="ls1e">. </span> </div><div class="t m0 x23 h4 y45 ff3 fs2 fc0 sc0 lsf ws1f"> </div><div class="t m0 x23 h10 y46 ff5 fs3 fc0 sc0 lsf ws1f"> </div><div class="t m0 x23 h10 y47 ff5 fs3 fc0 sc0 lsf ws1f"> </div><div class="t m0 x23 h10 y48 ff5 fs3 fc0 sc0 lsf ws1f">Como <span class="blank _0"></span>el<span class="blank _0"></span> <span class="blank _a"></span>área <span class="blank _a"></span>a <span class="blank _a"></span>calcular <span class="blank _a"></span>está<span class="blank _0"></span> <span class="blank _a"></span>formada <span class="blank _a"></span>por <span class="blank _a"></span>una <span class="blank _a"></span>región <span class="blank _a"></span>por <span class="blank _a"></span>debajo<span class="blank _0"></span> <span class="blank _a"></span>del <span class="blank _a"></span>eje <span class="blank _0"></span>de <span class="blank _a"></span>abscisas </div><div class="t m0 x23 h12 y49 ff5 fs3 fc0 sc0 lsf ws1f">y <span class="blank _5"> </span>otra <span class="blank _5"> </span>por <span class="blank _5"> </span>enci<span class="blank _0"></span>ma <span class="blank _5"> </span>del <span class="blank _5"> </span>mi<span class="blank _0"></span>smo, <span class="blank _5"> </span>debemos<span class="blank _0"></span> <span class="blank _5"> </span>determin<span class="blank _0"></span>ar <span class="blank _5"> </span>el <span class="blank _5"> </span>valor <span class="blank _5"> </span>de<span class="blank _0"></span> <span class="blank _5"> </span><span class="ff7 ws6">\uee9e</span> <span class="blank _5"> </span>donde <span class="blank _5"> </span>la <span class="blank _5"> </span>gráfica<span class="blank _0"></span> </div><div class="t m0 x23 h12 y4a ff5 fs3 fc0 sc0 lsf ws1f">corta dicho eje.<span class="blank _0"></span> Es decir, dete<span class="blank _0"></span>rminar el val<span class="blank _0"></span>or de <span class="ff7 ws6">\uee9e</span> para el cual <span class="ff7 ws5">\uee8c\udb80\udddb\uee9e\udb80\udddc<span class="blank"> </span>\uf34c<span class="blank"> </span>\uf0d9</span>. </div><div class="t m0 x23 h12 y4b ff5 fs3 fc0 sc0 lsf ws1f">Verificamos <span class="blank _b"> </span>que <span class="blank _b"> </span><span class="ff7 ws1d">\uee9e<span class="blank"> </span>\uf34c<span class="blank _c"> </span>\uf0da</span> <span class="blank _4"> </span>es<span class="blank _a"></span> <span class="blank _4"> </span>el <span class="blank _b"> </span>punto <span class="blank _4"> </span>de <span class="blank _b"> </span>intersección<span class="blank _0"></span> <span class="blank _4"> </span>d<span class="blank _a"></span>e <span class="blank _4"> </span>la <span class="blank _b"> </span>gráfica <span class="blank _4"> </span>con<span class="blank _a"></span> <span class="blank _4"> </span>el <span class="blank _b"> </span>eje <span class="blank _b"> </span>de </div><div class="t m0 x23 h11 y4c ff5 fs3 fc0 sc0 lsf ws1f">abscisas, ya que <span class="blank _0"></span><span class="ff7 ls3">\uee8c<span class="lsf ws6 v4">\udb80\udddb<span class="v5">\uf0da</span><span class="ls5">\udb80\udddc</span></span><span class="lsf wsa">\uf34c<span class="blank"> </span>\uf0da<span class="fs0 ls1 va">\uf0dc</span><span class="ws7">\uf346<span class="blank"> </span>\uf0da<span class="blank _6"> </span>\uf34c<span class="blank _6"> </span>\uf0d9<span class="ff5 ws1f"> </span></span></span></span></div><div class="t m0 x23 h10 y4d ff5 fs3 fc0 sc0 lsf ws1f">Entonces el área<span class="blank _0"></span> a calcular es: </div><div class="t m0 x24 h12 y4e ff7 fs3 fc0 sc0 lsf ws24">\uee6d<span class="blank _6"> </span>\uf34c<span class="blank _6"> </span>\uf346<span class="blank _d"> </span>\uf3b1<span class="blank"> </span>\uee8c\udb80\udddb\uee9e\udb80\udddc<span class="ls2d">\uee8a\uee9e</span></div><div class="t m0 x25 h25 y4f ff7 fs0 fc0 sc0 lsf">\uf0da</div><div class="t m0 x26 h26 y50 ff7 fs0 fc0 sc0 lsf ws25">\uf13f\uf0da<span class="blank"> </span><span class="fs3 ws24 vf">\uf345<span class="blank _4"> </span>\uf3b1<span class="blank"> </span>\uee8c\udb80\udddb\uee9e\udb80\udddc</span></div><div class="t m0 x27 h25 y4f ff7 fs0 fc0 sc0 lsf">\uf0db</div><div class="t m0 x28 h26 y50 ff7 fs0 fc0 sc0 ls1f">\uf0da<span class="fs3 ls2d ws26 vf">\uee8a\uee9e<span class="ff9 lsf ws1f"> </span></span></div><div class="t m0 x1 h22 y51 ff4 fs3 fc0 sc0 lsf ws1f">Por otra parte, </div><div class="t m0 x29 h11 y52 ff7 fs3 fc0 sc0 lsf ws24">\uf3b1<span class="blank"> </span>\uee8c<span class="ws6 v4">\udb80\udddb<span class="v5">\uee9e</span>\udb80\udddc</span><span class="ls2d ws27">\uee8a\uee9e<span class="blank"> </span></span><span class="ws28">\ue603<span class="blank"> </span>\uf34c<span class="blank _6"> </span>\uf3b1<span class="ws6 v5">\uf36b<span class="v0">\uee9e<span class="fs0 ls1 va">\uf0dc</span><span class="ws7">\uf346<span class="blank"> </span>\uf0da</span></span>\uf36f</span><span class="ls2d ws29">\uee8a\uee9e<span class="blank"> </span></span></span>\uf43a<span class="blank"> </span>\uf3b1<span class="blank"> </span>\uee8c<span class="ws6 v4">\udb80\udddb<span class="v5">\uee9e</span>\udb80\udddc</span><span class="ls2d ws27">\uee8a\uee9e<span class="blank"> </span></span><span class="ws28">\ue603<span class="blank"> </span>\uf34c<span class="blank _6"> </span>\uf3b1<span class="blank _b"> </span>\uee9e<span class="fs0 ls20 va">\uf0dc</span><span class="ls2d ws2a">\uee8a\uee9e<span class="blank"> </span></span><span class="ws2b">\uf346<span class="blank _4"> </span>\uf3b1<span class="blank"> </span><span class="ls2d ws26">\uee8a\uee9e</span><span class="ff9 ws1f"> </span></span></span></div><div class="t m0 x2a h13 y53 ff7 fs3 fc0 sc0 lsf ws24">\uf3b1<span class="blank"> </span>\uee8c<span class="ws6 v4">\udb80\udddb<span class="v5">\uee9e</span>\udb80\udddc</span><span class="ls2d ws29">\uee8a\uee9e<span class="blank"> </span><span class="ls21">\uf34c</span></span><span class="v6">\uf0da</span></div><div class="t m0 x2b h17 y54 ff7 fs3 fc0 sc0 ls7">\uf0dd<span class="lsf ws6 v7">\uee9e</span><span class="fs0 ls1 v8">\uf0dd</span><span class="lsf ws7 v7">\uf346<span class="blank"> </span>\uee9e<span class="blank"> </span>\uf345<span class="blank"> </span>\uee6f<span class="ff9 ws1f"> </span></span></div><div class="t m0 x1 h22 y55 ff4 fs3 fc0 sc0 lsf ws1f">Entonces: </div><div class="t m0 x2c h13 y56 ff7 fs3 fc0 sc0 lsf ws2c">\uee6d<span class="blank _6"> </span>\uf34c<span class="blank _6"> </span>\uf346<span class="blank"> </span>\uf36c<span class="v6">\uf0da</span></div><div class="t m0 x2d h17 y57 ff7 fs3 fc0 sc0 ls7">\uf0dd<span class="lsf ws6 v7">\uee9e</span><span class="fs0 ls1 v8">\uf0dd</span><span class="lsf ws7 v7">\uf346<span class="blank"> </span>\uee9e\uf370</span><span class="ls22 v7">\uf42c</span><span class="fs0 lsf ws2d vb">\uf13f\uf0da</span></div><div class="t m0 x2b h27 y58 ff7 fs0 fc0 sc0 ls23">\uf0da<span class="fs3 lsf ws7 v11">\uf345<span class="blank"> </span>\uf36c<span class="v6">\uf0da</span></span></div><div class="t m0 x2e h17 y57 ff7 fs3 fc0 sc0 ls7">\uf0dd<span class="lsf ws6 v7">\uee9e</span><span class="fs0 ls1 v8">\uf0dd</span><span class="lsf ws7 v7">\uf346<span class="blank"> </span>\uee9e\uf370</span><span class="ls22 v7">\uf42c</span><span class="fs0 lsf vb">\uf0da</span></div><div class="t m0 x2f h25 y58 ff7 fs0 fc0 sc0 ls20">\uf0db<span class="ff9 fs3 lsf ws1f v11"> </span></div><div class="t m0 x30 h13 y59 ff7 fs3 fc0 sc0 lsf ws2e">\uee6d<span class="blank _6"> </span>\uf34c<span class="blank _6"> </span>\uf346<span class="blank"> </span>\uf36d<span class="v6">\uf0da</span></div><div class="t m0 x31 h16 y5a ff7 fs3 fc0 sc0 ls24">\uf0dd<span class="lsf ws11 v7">\ue7e4<span class="blank"> </span>\uf0da</span><span class="fs0 ls1 v8">\uf0dd</span><span class="ls9 ws2f v7">\uf346\uf0da\uf346</span><span class="ls25 v7">\udb80\udde7</span><span class="lsf ve">\uf0da</span></div><div class="t m0 x32 h16 y5a ff7 fs3 fc0 sc0 ls7">\uf0dd<span class="ls26 v7">\ue7e4</span><span class="lsf ws6 v9">\udb80\udddb<span class="v5">\uf346\uf0da</span>\udb80\udddc<span class="fs0 ls1 v12">\uf0dd</span><span class="lsa v5">\uf346</span>\udb80\udddb<span class="v5">\uf346\uf0da</span>\udb80\udddc<span class="ls25 v5">\udb80\udde8</span><span class="ws30 v5">\uf371<span class="blank"> </span>\uf345<span class="blank"> </span></span><span class="ls25 v5">\udb80\udde7</span><span class="v9">\uf0da</span></span></div><div class="t m0 x33 h16 y5a ff7 fs3 fc0 sc0 ls27">\uf0dd<span class="lsf ws11 v7">\ue7e4<span class="blank"> </span>\uf0db</span><span class="fs0 ls1 v8">\uf0dd</span><span class="lsf ws7 v7">\uf346<span class="blank"> </span>\uf0db<span class="blank"> </span>\uf346<span class="blank"> </span>\uf36c<span class="v6">\uf0da</span></span></div><div class="t m0 x34 h17 y5a ff7 fs3 fc0 sc0 ls28">\uf0dd<span class="lsf ws11 v7">\ue7e4<span class="blank"> </span>\uf0da</span><span class="fs0 ls1 v8">\uf0dd</span><span class="lsf wsb v7">\uf346<span class="blank"> </span>\uf0da\uf370</span><span class="lsf ws6 v7">\udb80\udde8</span><span class="ff9 lsf ws1f v7"> </span></div><div class="t m0 x4 h13 y5b ff7 fs3 fc0 sc0 lsf ws2e">\uee6d<span class="blank _6"> </span>\uf34c<span class="blank _6"> </span>\uf346<span class="blank"> </span>\uf36c\uf346<span class="blank"> </span><span class="v6">\uf0dc</span></div><div class="t m0 x35 h16 y26 ff7 fs3 fc0 sc0 ls29">\uf0dd<span class="lsa v7">\uf346</span><span class="lsf ve">\uf0de</span></div><div class="t m0 x36 h16 y26 ff7 fs3 fc0 sc0 lsf ws6">\uf0dd<span class="wsb v7">\uf370<span class="blank"> </span>\uf345<span class="blank"> </span>\uf36c\uf0db<span class="blank _4"> </span>\uf345<span class="blank _4"> </span></span><span class="ve">\uf0dc</span></div><div class="t m0 x37 h16 y26 ff7 fs3 fc0 sc0 lsf ws6">\uf0dd<span class="ws31 v7">\uf370<span class="blank _6"> </span>\uf43a<span class="blank _6"> </span>\uee6d<span class="blank _6"> </span>\uf34c<span class="blank _6"> </span>\uf0db<span class="blank"> </span>\uf345<span class="blank"> </span></span><span class="ls12 ve">\uf0da\uf0da</span></div><div class="t m0 x38 h16 y26 ff7 fs3 fc0 sc0 ls2a">\uf0dd<span class="lsf ws28 v7">\ue603<span class="blank"> </span>\uf43a<span class="blank _6"> </span>\uee6d<span class="blank _6"> </span>\uf34c<span class="blank _6"> </span></span><span class="ls12 ve">\uf0da\uf0e2</span></div><div class="t m0 x39 h12 y26 ff7 fs3 fc0 sc0 ls2b">\uf0dd<span class="ff9 lsf ws1f v7"> </span></div><div class="t m0 x1 h10 y5c ff5 fs3 fc0 sc0 lsf ws1f"> </div><div class="t m0 x1 h10 y5d ff5 fs3 fc0 sc0 lsf ws1f"> <span class="blank _8"> </span> </div></div><div class="c x0 y40 wc h21"><div class="t m0 x21 h22 y41 ff4 fs3 fc1 sc0 lsf ws1f"><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 y5e wd h28" alt="" src="https://files.passeidireto.com/308d7641-a7ab-4c3f-b692-b126b313113d/bg3.png"><div class="c x0 y1 w2 h0"><div class="t m0 x1 h29 y5f ff5 fs6 fc0 sc0 lsf ws1f"> </div><div class="t m0 x1 h2 y60 ff1 fs0 fc0 sc0 lsf ws1f">MATEMÁTICA (<span class="ls3c ws32">61</span><span class="ws1">)</span><span class="ff2"> Cátedra<span class="blank _0"></span> A: NUÑEZ, <span class="blank _0"></span>MYRIAM<span class="ff1"> <span class="blank _0"></span> 2° PARC<span class="blank _0"></span>IAL </span></span></div><div class="t m0 x1 h2 y61 ff2 fs0 fc0 sc0 lsf ws1f"> </div><div class="t m0 x1 h2 y62 ff2 fs0 fc0 sc0 lsf ws1f">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> <span class="blank _a"></span> <span class="blank _3"> </span>DNI:<span class="ff1"> <span class="blank _9"> </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 3<span class="blank _0"></span> </span></div><div class="t m0 x3 h2 y63 ff2 fs0 fc0 sc0 lsf ws1f">Hoja 3 de 4 </div><div class="t m0 x3 h2 y64 ff2 fs0 fc0 sc0 lsf ws1f"> </div><div class="t m0 x2 h2 y65 ff1 fs0 fc0 sc0 ls2e ws1f"> <span class="ff3 fs2 lsf v13">3. Dado el siguiente sistema: </span></div><div class="t m0 x3a h2a y66 ff7 fs2 fc0 sc0 lsf ws33">\uee6d<span class="blank"> </span>\uf349<span class="blank"> </span>\udb80\udde7<span class="v14">\uee9e</span></div><div class="t m0 x14 h2b y67 ff7 fs2 fc0 sc0 lsf">\uee9f</div><div class="t m0 x3b h2c y68 ff7 fs2 fc0 sc0 ls2f">\ueea0<span class="lsf ws34 v15">\udb80\udde8<span class="blank _c"> </span>\uf34c<span class="blank _c"> </span>\uf36d<span class="blank"> </span></span><span class="lsf ws35 v16">\ue603\ue603\uf0d9</span></div><div class="t m0 x3c h2b y69 ff7 fs2 fc0 sc0 lsf ws35">\ue603\ue603\uf0dc</div><div class="t m0 x3d h2d y6a ff7 fs2 fc0 sc0 lsf ws35">\uf346\uf0da<span class="v14">\uf371<span class="ff3 ls1e ws1f"> <span class="lsf">siendo </span></span>\uee6d<span class="fs7 ls30 v10">\uee9a</span><span class="ws22">\uf34c<span class="blank"> </span>\uf36d<span class="ws36 v15">\uf0da<span class="blank"> </span>\uf0dc<span class="blank"> </span>\uf0d9</span></span></span></div><div class="t m0 x3e h2b y69 ff7 fs2 fc0 sc0 lsf ws37">\uf0db<span class="blank"> </span>\uf346\uf0da<span class="blank"> </span>\uf0e0</div><div class="t m0 x3e h2e y6a ff7 fs2 fc0 sc0 lsf ws38">\uf0da<span class="blank"> </span>\uee91<span class="blank"> </span>\uf0da<span class="ws35 v14">\uf371<span class="ff3 ws1f"> </span></span></div><div class="t m0 x1 h2b y6b ff3 fs2 fc0 sc0 lsf ws1f">Determinar <span class="ls3d ws39">el</span> o los valor<span class="ls3d ws39">es</span> de <span class="ff7 ws3a">\uee91<span class="blank"> </span>\uebd0<span class="blank"> </span>\ueb39</span> para que el sistema sea compatible determinado.<span class="fc3"> </span></div><div class="t m0 x1 h22 y6c ff4 fs3 fc0 sc0 lsf ws1f"> </div><div class="t m0 x1 h12 y6d ff5 fs3 fc0 sc0 lsf ws1f">Para resolv<span class="blank _0"></span>er el sistema pl<span class="blank _0"></span>anteado necesitamos<span class="blank _a"></span> <span class="blank _3"> </span>determi<span class="blank _0"></span>nar la matriz<span class="blank _0"></span> <span class="ff7 ls31">\uee6d</span><span class="ff3 ws3b">.</span> </div><div class="t m0 x3f h2f y6e ff7 fs3 fc0 sc0 ls31">\uee6d<span class="fs0 ls32 va">\uee9a</span><span class="lsf wsa">\uf34c<span class="blank"> </span>\uf36d<span class="ws3c v17">\uf0da<span class="blank"> </span>\uf0dc<span class="blank"> </span>\uf0d9</span></span></div><div class="t m0 x32 h12 yf ff7 fs3 fc0 sc0 lsf ws3d">\uf0db<span class="blank"> </span>\uf346\uf0da<span class="blank"> </span>\uf0e0</div><div class="t m0 x32 h30 y6f ff7 fs3 fc0 sc0 lsf ws3e">\uf0da<span class="blank"> </span>\uee91<span class="blank"> </span>\uf0da<span class="ws3f v15">\uf371<span class="blank"> </span>\uf43a<span class="blank"> </span>\uee6d<span class="blank"> </span>\uf34c<span class="blank"> </span>\uf36d</span><span class="ws3c v18">\uf0da<span class="blank"> </span>\uf0db<span class="blank _e"> </span>\uf0da</span></div><div class="t m0 x25 h12 yf ff7 fs3 fc0 sc0 lsf ws3d">\uf0dc<span class="blank"> </span>\uf346\uf0da<span class="blank"> </span>\uee91</div><div class="t m0 x25 h31 y6f ff7 fs3 fc0 sc0 lsf ws3c">\uf0d9<span class="blank"> </span>\uf0e0<span class="blank"> </span>\uf0da<span class="ws6 v15">\uf371<span class="ff5 ws1f"> </span></span></div><div class="t m0 x1 h10 y70 ff5 fs3 fc0 sc0 lsf ws1f">La matriz ampli<span class="blank _0"></span>ada del sistema<span class="blank _0"></span> es: </div><div class="t m0 x3c h2f y71 ff7 fs3 fc0 sc0 ls31">\uee6d<span class="fs0 ls33 va">\uebdb</span><span class="lsf wsa">\uf34c<span class="blank"> </span>\uf36d<span class="ws40 v17">\uf0da<span class="blank"> </span>\uf0db<span class="blank"> </span>\uf0da</span></span></div><div class="t m0 x40 h12 y72 ff7 fs3 fc0 sc0 lsf ws3d">\uf0dc<span class="blank"> </span>\uf346\uf0da<span class="blank"> </span>\uee91</div><div class="t m0 x40 h30 y73 ff7 fs3 fc0 sc0 lsf ws41">\uf0d9<span class="blank _f"> </span>\uf0e0<span class="blank _f"> </span>\uf0da<span class="blank"> </span><span class="ls34 v15">\uf42d</span><span class="v18">\uf0d9</span></div><div class="t m0 x41 h12 y74 ff7 fs3 fc0 sc0 lsf">\uf0dc</div><div class="t m0 x26 h31 y73 ff7 fs3 fc0 sc0 lsf ws6">\uf346\uf0da<span class="v15">\uf371<span class="ff3 ws1f"> </span></span></div><div class="t m0 x1 h10 y75 ff5 fs3 fc0 sc0 lsf ws1f">El paso siguiente e<span class="blank _0"></span>s buscar la for<span class="blank _0"></span>ma escalonad<span class="blank _0"></span>a de la matriz<span class="blank _0"></span> ampliada. </div><div class="t m0 x1 h12 y76 ff5 fs3 fc0 sc0 lsf ws1f">Buscamos <span class="ls3e">un </span>cero en<span class="blank _0"></span> <span class="ls3e ws42">el</span> lugar <span class="ff7 ws6">\uee87<span class="fs0 ls3f ws43 vb">\uf0db\uf0da</span></span>. <span class="blank _3"> </span>Hacemos <span class="blank _0"></span> <span class="ff7 ws11">\uf0dc\ue7e4<span class="blank"> </span>\uee72<span class="fs0 ls1 vb">\uf0da</span><span class="ws7">\uf346<span class="blank"> </span>\uee72<span class="fs0 ls35 vb">\uf0db</span><span class="ws12">\uf437<span class="blank"> </span>\uee72<span class="fs0 ls36 vb">\uf0db</span></span></span></span><span class="ff3"> </span></div><div class="t m0 x32 h32 y77 ff7 fs3 fc0 sc0 ls31">\uee6d<span class="fs0 ls37 v10">\uebdb</span><span class="ls38">\uf34c<span class="fs2 ls39">\uf36d</span><span class="lsf ws44 v15">\uf0da<span class="blank"> </span>\uf0db<span class="blank _10"> </span>\uf0da</span></span></div><div class="t m0 x42 h12 y78 ff7 fs3 fc0 sc0 lsf ws45">\uf0d9<span class="blank _11"> </span>\uf0e0<span class="blank _11"> </span>\uf0dc<span class="blank"> </span>\uf346<span class="blank"> </span>\uee91</div><div class="t m0 x42 h33 y79 ff7 fs3 fc0 sc0 lsf ws44">\uf0d9<span class="blank"> </span>\uf0e0<span class="blank _10"> </span>\uf0da<span class="blank"> </span><span class="fs2 ls3a v14">\uf42d</span><span class="v19">\uf0d9</span></div><div class="t m0 x25 h12 y78 ff7 fs3 fc0 sc0 lsf ws6">\uf346\uf0dc</div><div class="t m0 x25 h34 y7a ff7 fs3 fc0 sc0 lsf ws6">\uf346\uf0da<span class="fs2 ls39 v14">\uf371</span><span class="ff3 ws1f v14"> </span></div><div class="t m0 x1 h12 y7b ff5 fs3 fc0 sc0 lsf ws1f">Buscamos un ce<span class="blank _0"></span>ro en el l<span class="blank _0"></span>ugar <span class="ff7 ws6">\uee87<span class="fs0 ls3f ws43 vb">\uf0dc\uf0db<span class="blank"> </span></span></span>. Hacemos <span class="ff7 ls3b">\uee72<span class="fs0 ls1 vb">\uf0db</span><span class="lsf ws7">\uf346<span class="blank"> </span>\uee72<span class="fs0 ls35 vb">\uf0dc</span><span class="ws46">\uf437<span class="blank"> </span>\uee72<span class="fs0 ls36 vb">\uf0dc</span></span></span></span><span class="ff3"> </span></div><div class="t m0 x32 h35 y7c ff7 fs3 fc0 sc0 ls31">\uee6d<span class="fs0 ls37 v1a">\uebdb</span><span class="ls38">\uf34c<span class="fs2 ls39">\uf36d</span><span class="lsf ws44 v1b">\uf0da<span class="blank"> </span>\uf0db<span class="blank _10"> </span>\uf0da</span></span></div><div class="t m0 x42 h12 y7d ff7 fs3 fc0 sc0 lsf ws45">\uf0d9<span class="blank _11"> </span>\uf0e0<span class="blank _11"> </span>\uf0dc<span class="blank"> </span>\uf346<span class="blank"> </span>\uee91</div><div class="t m0 x42 h36 y7e ff7 fs3 fc0 sc0 lsf ws47">\uf0d9<span class="blank _11"> </span>\uf0d9<span class="blank _11"> </span>\uf0db<span class="blank _4"> </span>\uf346<span class="blank _6"> </span>\uee91<span class="blank"> </span><span class="fs2 ls3a v14">\uf42d</span><span class="v19">\uf0d9</span></div><div class="t m0 x25 h12 y7d ff7 fs3 fc0 sc0 lsf ws6">\uf346\uf0dc</div><div class="t m0 x25 h34 y7f ff7 fs3 fc0 sc0 lsf ws6">\uf346\uf0db<span class="fs2 ls39 v14">\uf371</span><span class="ff3 ws1f v14"> </span></div><div class="t m0 x1 h10 y80 ff5 fs3 fc0 sc0 lsf ws1f">La matriz y<span class="blank _0"></span>a está en su <span class="blank _0"></span>forma escalonada.<span class="blank _0"></span> </div><div class="t m0 x1 h10 y81 ff5 fs3 fc0 sc0 lsf ws1f">Para <span class="blank _12"> </span>que <span class="blank _12"> </span>el <span class="blank _12"> </span>sistema <span class="blank _12"> </span>sea <span class="blank _12"> </span>compatibl<span class="blank _0"></span>e <span class="blank _13"> </span>determina<span class="blank _a"></span>do, <span class="blank _13"> </span>el <span class="blank _12"> </span>rango <span class="blank _12"> </span>de <span class="blank _12"> </span>la <span class="blank _12"> </span>matriz<span class="blank _a"></span> <span class="blank _13"> </span>debe <span class="blank _12"> </span>ser <span class="blank _12"> </span>igual <span class="blank _12"> </span>al <span class="blank _12"> </span>rango <span class="blank _12"> </span>de <span class="blank _12"> </span>la <span class="blank _12"> </span>matriz </div><div class="t m0 x1 h12 y82 ff5 fs3 fc0 sc0 lsf ws1f">ampliada <span class="blank _5"> </span>e <span class="blank _5"> </span>igual <span class="blank _12"> </span>al<span class="blank _0"></span> <span class="blank _5"> </span>número <span class="blank _5"> </span>de <span class="blank _5"> </span>incógnitas. <span class="blank _5"> </span>En <span class="blank _5"> </span>este <span class="blank _5"> </span>caso <span class="blank _5"> </span>el <span class="blank _12"> </span>nú<span class="blank _0"></span>mero <span class="blank _5"> </span>de <span class="blank _5"> </span>incógnitas <span class="blank _5"> </span>es <span class="blank _12"> </span><span class="ff7 ws6">\uf0dc</span> <span class="blank _5"> </span>y <span class="blank _5"> </span>el <span class="blank _5"> </span>r<span class="blank _3"> </span>ango <span class="blank _5"> </span>de <span class="blank _5"> </span>la <span class="blank _5"> </span>matriz </div><div class="t m0 x1 h12 y83 ff5 fs3 fc0 sc0 lsf ws1f">ampliada es <span class="ff7 ws6">\uf0dc</span>. Anali<span class="blank _0"></span>zamos que ocu<span class="blank _0"></span>rre con <span class="ff7 ws6">\uee91<span class="ff3 lse">.</span></span> </div><div class="t m0 x1 h12 y84 ff5 fs3 fc0 sc0 ls40 ws1f">Si <span class="ff7 lsf ws48">\uee91<span class="blank"> </span>\uf34c<span class="blank"> </span>\uf0db</span><span class="lsf"> <span class="blank _3"> </span>entonces el <span class="blank _0"></span>rango de l<span class="blank _0"></span>a matriz es <span class="ff7 ws6">\uf0db</span> y por lo <span class="blank _0"></span>tanto el sistema <span class="blank _0"></span>sería compa<span class="blank _0"></span>tible indeter<span class="blank _0"></span>minado. </span></div><div class="t m0 x1 h12 y85 ff5 fs3 fc0 sc0 lsf ws1f">Por lo tanto el siste<span class="blank _0"></span>ma es co<span class="blank _0"></span>mpatible dete<span class="blank _0"></span>rminado para<span class="blank _0"></span> todo val<span class="blank _0"></span>or real <span class="ff7 ws49">\uee91<span class="blank"> </span>\uf34d<span class="blank"> </span>\uf0db<span class="ff3 ws3b">.</span></span> </div><div class="t m0 x1 h22 y86 ff4 fs3 fc0 sc0 lsf ws1f"> </div><div class="t m0 x43 h22 y87 ff4 fs3 fc0 sc0 lsf ws1f"> </div><div class="t m0 x1 h6 y88 ff3 fs3 fc0 sc0 lsf ws1f"> <span class="blank _8"> </span> </div></div><div class="c x0 y89 wc h37"><div class="t m0 x21 h22 y41 ff4 fs3 fc1 sc0 lsf ws1f"><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 y8a wd h38" alt="" src="https://files.passeidireto.com/308d7641-a7ab-4c3f-b692-b126b313113d/bg4.png"><div class="c x0 y1 w2 h0"><div class="t m0 x1 h2 y2 ff1 fs0 fc0 sc0 lsf ws1f">MATEMÁTICA (<span class="ls10 ws0">61</span><span class="ws1">)</span><span class="ff2"> Cátedra A: NUÑEZ, MYRIAM</span><span class="ls17"> <span class="ls18"> </span></span>2° PARC<span class="blank _3"> </span>IAL </div><div class="t m0 x1 h2 y3 ff2 fs0 fc0 sc0 lsf ws1f"> </div><div class="t m0 x1 h2 y4 ff2 fs0 fc0 sc0 lsf ws1f">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> <span class="blank _0"></span> DNI<span class="blank _0"></span>:<span class="ff1"> <span class="blank _9"> </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 3 </span></div><div class="t m0 x3 h2 y5 ff2 fs0 fc0 sc0 lsf ws1f">Hoja 4 de 4 </div><div class="t m0 x3 h2 y43 ff2 fs0 fc0 sc0 lsf ws1f"> </div><div class="t m0 x1 h22 y8b ff4 fs3 fc0 sc0 lsf ws1f"> </div><div class="t m0 x1 h2b y8c ff3 fs2 fc0 sc0 ls3d">4<span class="ls1e ws1f">. <span class="blank _12"> </span><span class="lsf">Dados<span class="blank _3"> </span> <span class="blank _12"> </span>los <span class="blank _13"> </span>vectores <span class="blank _13"> </span><span class="ff7">\uee9b</span></span></span></div></div><div class="c x0 y1 we h0"><div class="t m0 x29 h2b y8d ff7 fs2 fc0 sc0 lsf">\udb80\uddcd</div></div><div class="c x44 y1 wf h0"><div class="t m0 x45 h2b y8d ff7 fs2 fc0 sc0 lsf">\udb80\uddcd</div></div><div class="c x46 y1 w10 h0"><div class="t m0 x47 h2b y8d ff7 fs2 fc0 sc0 lsf">\ueb26</div></div><div class="c x0 y1 w2 h0"><div class="t m0 x23 h24 y8c ff7 fs2 fc0 sc0 ls41">\uf34c<span class="ls1a v4">\udb80\udddb</span><span class="lsf ws4a">\uf346\uf0da\ue7e2<span class="blank"> </span>\uf0db\ue7e2<span class="blank"> </span>\uf0de<span class="ls1a v4">\udb80\udddc</span><span class="ws4b">\ue603\ue7e1<span class="blank"> </span>\uee9c</span></span></div></div><div class="c x0 y1 w11 h0"><div class="t m0 x48 h2b y8d ff7 fs2 fc0 sc0 lsf">\udb80\uddcd</div></div><div class="c x3c y1 w12 h0"><div class="t m0 x45 h2b y8d ff7 fs2 fc0 sc0 lsf">\udb80\uddcd</div></div><div class="c x49 y1 w13 h0"><div class="t m0 x45 h2b y8d ff7 fs2 fc0 sc0 lsf">\ueb26</div></div><div class="c x0 y1 w2 h0"><div class="t m0 x2d h24 y8c ff7 fs2 fc0 sc0 ls42">\uf34c<span class="ls1a v4">\udb80\udddb</span><span class="lsf ws4a">\uf0da\ue7e2<span class="blank"> </span>\uf346\uf0da\ue7e2<span class="blank"> </span>\uf0da<span class="ls1a v4">\udb80\udddc</span><span class="ws4c">\ue7e1<span class="blank"> </span>\uee9d</span></span></div></div><div class="c x0 y1 w14 h0"><div class="t m0 x4a h2b y8c ff7 fs2 fc0 sc0 lsf">\udb80\uddcd</div></div><div class="c x9 y1 w15 h0"><div class="t m0 x45 h2b y8c ff7 fs2 fc0 sc0 lsf">\udb80\uddcd</div></div><div class="c x4b y1 w15 h0"><div class="t m0 x45 h2b y8c ff7 fs2 fc0 sc0 lsf">\udb80\uddcd</div></div><div class="c x4c y1 w16 h0"><div class="t m0 x47 h2b y8c ff7 fs2 fc0 sc0 lsf">\ueb26</div></div><div class="c x0 y1 w2 h0"><div class="t m0 x4d h2b y8c ff7 fs2 fc0 sc0 lsf ws4a">\uf34c<span class="blank _c"> </span>\udb80\udddb\uf346\uf0dc\ue7e2<span class="blank"> </span>\uf0da\ue7e2<span class="blank _14"> </span>\uf346\uf0da\udb80\udddc<span class="ff3 ws1f"> <span class="blank _13"> </span>hallar <span class="blank _13"> </span>el <span class="blank _13"> </span>valor <span class="blank _12"> </span>del <span class="blank _13"> </span>producto </span></div><div class="t m0 x1 h2b y8e ff3 fs2 fc0 sc0 lsf ws1f">mixto <span class="ff7">\uee9c</span></div></div><div class="c x0 y1 w17 h0"><div class="t m0 x43 h2b y8f ff7 fs2 fc0 sc0 lsf">\udb80\uddcd</div></div><div class="c x4e y1 w12 h0"><div class="t m0 x45 h2b y8f ff7 fs2 fc0 sc0 lsf">\udb80\uddcd</div></div><div class="c x4e y1 w18 h0"><div class="t m0 x45 h2b y8f ff7 fs2 fc0 sc0 lsf">\ueb26</div></div><div class="c x0 y1 w2 h0"><div class="t m0 x4f h24 y8e ff7 fs2 fc0 sc0 ls43">\ue7e4<span class="ls1a v4">\udb80\udddb</span><span class="lsf">\uee9b</span></div></div><div class="c x0 y1 w19 h0"><div class="t m0 x50 h2b y8f ff7 fs2 fc0 sc0 lsf">\udb80\uddcd</div></div><div class="c x51 y1 wf h0"><div class="t m0 x45 h2b y8f ff7 fs2 fc0 sc0 lsf">\udb80\uddcd</div></div><div class="c x16 y1 w1a h0"><div class="t m0 x47 h2b y8f ff7 fs2 fc0 sc0 lsf">\ueb26</div></div><div class="c x0 y1 w2 h0"><div class="t m0 x52 h2b y8e ff7 fs2 fc0 sc0 lsf ws35">\uee9e\uee9d</div></div><div class="c x0 y1 w1b h0"><div class="t m0 x53 h2b y8e ff7 fs2 fc0 sc0 lsf">\udb80\uddcd</div></div><div class="c x54 y1 w15 h0"><div class="t m0 x45 h2b y8e ff7 fs2 fc0 sc0 lsf">\udb80\uddcd</div></div><div class="c x55 y1 w15 h0"><div class="t m0 x45 h2b y8e ff7 fs2 fc0 sc0 lsf">\udb80\uddcd</div></div><div class="c x56 y1 w1c h0"><div class="t m0 x47 h2b y8e ff7 fs2 fc0 sc0 lsf">\ueb26</div></div><div class="c x0 y1 w2 h0"><div class="t m0 x57 h2b y90 ff7 fs2 fc0 sc0 ls1a">\udb80\udddc<span class="lsf ws35 v5">\ue7e4<span class="ff3 ws1f"> </span></span></div><div class="t m0 x1 h4 y91 ff3 fs2 fc0 sc0 lsf ws1f"> </div><div class="t m0 x1 h12 y92 ff5 fs3 fc0 sc0 lsf ws1f">Para de<span class="blank _0"></span>terminar <span class="blank _0"></span>el p<span class="blank _0"></span>roducto<span class="blank _0"></span> mixto <span class="blank _0"></span>lo <span class="blank _0"></span>primero<span class="blank _0"></span> que<span class="blank _0"></span> debe<span class="blank _0"></span>mos hal<span class="blank _0"></span>lar es<span class="blank _0"></span> el<span class="blank _0"></span> producto<span class="blank _0"></span> vectori<span class="blank _0"></span>al <span class="ff7">\uee9b</span></div></div><div class="c x0 y1 w1d h0"><div class="t m0 x58 h12 y93 ff7 fs3 fc0 sc0 lsf">\udb80\uddcd</div></div><div class="c x59 y1 wf h0"><div class="t m0 x45 h12 y93 ff7 fs3 fc0 sc0 lsf">\udb80\uddcd</div></div><div class="c x5a y1 w1e h0"><div class="t m0 x47 h12 y93 ff7 fs3 fc0 sc0 lsf">\ueb26</div></div><div class="c x0 y1 w2 h0"><div class="t m0 x5b h12 y92 ff7 fs3 fc0 sc0 lsf ws6">\uee9e\uee9d</div></div><div class="c x0 y1 w1f h0"><div class="t m0 x5c h12 y94 ff7 fs3 fc0 sc0 lsf">\udb80\uddcd</div></div><div class="c x5d y1 w20 h0"><div class="t m0 x45 h12 y94 ff7 fs3 fc0 sc0 lsf">\udb80\uddcd</div></div><div class="c x5e y1 w20 h0"><div class="t m0 x45 h12 y94 ff7 fs3 fc0 sc0 lsf">\udb80\uddcd</div></div><div class="c x5f y1 w21 h0"><div class="t m0 x47 h12 y94 ff7 fs3 fc0 sc0 lsf">\ueb26</div></div><div class="c x0 y1 w2 h0"><div class="t m0 x60 h6 y92 ff3 fs3 fc0 sc0 lsf ws1f"> <span class="ff5"> <span class="blank _0"></span>(el esta<span class="blank _0"></span>r <span class="blank _a"></span>indicado </span></div><div class="t m0 x1 h10 y95 ff5 fs3 fc0 sc0 lsf ws1f">entre paréntesis si<span class="blank _a"></span>g<span class="blank _3"> </span>nifica que lo debe<span class="blank _0"></span>mos resolv<span class="blank _0"></span>er antes del p<span class="blank _0"></span>roducto escalar). </div><div class="t m0 x61 h12 y96 ff7 fs3 fc0 sc0 lsf">\uee9b</div></div><div class="c x0 y1 w22 h0"><div class="t m0 x61 h12 y97 ff7 fs3 fc0 sc0 lsf">\udb80\uddcd</div></div><div class="c x18 y1 wf h0"><div class="t m0 x45 h12 y97 ff7 fs3 fc0 sc0 lsf">\udb80\uddcd</div></div><div class="c x62 y1 w23 h0"><div class="t m0 x47 h12 y97 ff7 fs3 fc0 sc0 lsf">\ueb26</div></div><div class="c x0 y1 w2 h0"><div class="t m0 x63 h12 y96 ff7 fs3 fc0 sc0 lsf ws6">\uee9e\uee9d</div></div><div class="c x0 y1 w24 h0"><div class="t m0 x64 h12 y98 ff7 fs3 fc0 sc0 lsf">\udb80\uddcd</div></div><div class="c x48 y1 w20 h0"><div class="t m0 x45 h12 y98 ff7 fs3 fc0 sc0 lsf">\udb80\uddcd</div></div><div class="c x3d y1 w20 h0"><div class="t m0 x45 h12 y98 ff7 fs3 fc0 sc0 lsf">\udb80\uddcd</div></div><div class="c x3c y1 w25 h0"><div class="t m0 x47 h12 y98 ff7 fs3 fc0 sc0 lsf">\ueb26</div></div><div class="c x0 y1 w2 h0"><div class="t m0 x65 h11 y96 ff7 fs3 fc0 sc0 ls6">\uf34c<span class="lsf ws6 v4">\udb80\udddb</span><span class="lsf ws19">\uf346\uf0da\ue7e2<span class="blank"> </span>\uf0db\ue7e2<span class="blank"> </span>\uf0de<span class="ws6 v4">\udb80\udddc<span class="v5">\ue603\uee9e\ue603</span>\udb80\udddb</span>\uf346\uf0dc\ue7e2<span class="blank"> </span>\uf0da\ue7e2<span class="blank"> </span>\uf346\uf0da<span class="ws6 v4">\udb80\udddc</span><span class="ff3 ws1f"> </span></span></div><div class="t m0 x66 h12 y99 ff7 fs3 fc0 sc0 lsf">\uee9b</div></div><div class="c x0 y1 w26 h0"><div class="t m0 x66 h12 y9a ff7 fs3 fc0 sc0 lsf">\udb80\uddcd</div></div><div class="c x67 y1 wf h0"><div class="t m0 x45 h12 y9a ff7 fs3 fc0 sc0 lsf">\udb80\uddcd</div></div><div class="c x68 y1 w27 h0"><div class="t m0 x47 h12 y9a ff7 fs3 fc0 sc0 lsf">\ueb26</div></div><div class="c x0 y1 w2 h0"><div class="t m0 x69 h12 y99 ff7 fs3 fc0 sc0 lsf ws6">\uee9e\uee9d</div></div><div class="c x0 y1 w28 h0"><div class="t m0 x6a h12 y9b ff7 fs3 fc0 sc0 lsf">\udb80\uddcd</div></div><div class="c x46 y1 w20 h0"><div class="t m0 x45 h12 y9b ff7 fs3 fc0 sc0 lsf">\udb80\uddcd</div></div><div class="c x6b y1 w20 h0"><div class="t m0 x45 h12 y9b ff7 fs3 fc0 sc0 lsf">\udb80\uddcd</div></div><div class="c x6c y1 w29 h0"><div class="t m0 x47 h12 y9b ff7 fs3 fc0 sc0 lsf">\ueb26</div></div><div class="c x0 y1 w2 h0"><div class="t m0 x31 h11 y99 ff7 fs3 fc0 sc0 ls44">\uf34c<span class="lsf ws6 v5">\uf36b</span><span class="lsf ws4d">\uf0db\ue7e4<span class="blank"> </span><span class="ws6 v4">\udb80\udddb<span class="v5">\uf346\uf0da</span><span class="ls45">\udb80\udddc</span></span><span class="ws11">\uf346<span class="blank _14"> </span>\uf0de\ue7e4<span class="blank"> </span>\uf0da\ue7e2<span class="blank"> </span>\uf0de\ue7e4<span class="blank"> </span><span class="ws6 v4">\udb80\udddb<span class="v5">\uf346\uf0dc</span><span class="ls46">\udb80\udddc</span></span><span class="lsa">\uf346</span><span class="ws6 v4">\udb80\udddb<span class="v5">\uf346\uf0da</span>\udb80\udddc</span><span class="ls47">\ue7e4</span><span class="ws6 v4">\udb80\udddb<span class="v5">\uf346\uf0da</span>\udb80\udddc</span><span class="ls48">\ue7e2</span><span class="ws6 v4">\udb80\udddb<span class="v5">\uf346\uf0da</span>\udb80\udddc</span>\ue7e4<span class="blank"> </span>\uf0da<span class="blank _4"> </span>\uf346<span class="blank _4"> </span>\uf0db\ue7e4<span class="blank"> </span><span class="ws6 v4">\udb80\udddb<span class="v5">\uf346\uf0dc</span>\udb80\udddc<span class="v5">\uf36f</span></span><span class="ff3 ws1f"> </span></span></span></div><div class="t m0 x65 h12 y9c ff7 fs3 fc0 sc0 lsf">\uee9c</div></div><div class="c x0 y1 w2a h0"><div class="t m0 x65 h2b y9c ff7 fs2 fc0 sc0 lsf">\udb80\uddcd</div></div><div class="c x6d y1 w2b h0"><div class="t m0 x47 h2b y9c ff7 fs2 fc0 sc0 lsf">\ueb26</div></div><div class="c x0 y1 w2 h0"><div class="t m0 x6e h12 y9c ff7 fs3 fc0 sc0 lsf ws6">\uee9e\uee9d</div></div><div class="c x0 y1 w2c h0"><div class="t m0 x6f h2b y9c ff7 fs2 fc0 sc0 lsf">\udb80\uddcd</div></div><div class="c x70 y1 w2d h0"><div class="t m0 x45 h2b y9c ff7 fs2 fc0 sc0 lsf">\udb80\uddcd</div></div><div class="c x71 y1 w2e h0"><div class="t m0 x47 h2b y9c ff7 fs2 fc0 sc0 lsf">\ueb26</div></div><div class="c x0 y1 w2 h0"><div class="t m0 x72 h24 y9c ff7 fs3 fc0 sc0 ls49">\uf34c<span class="fs2 ls1a v4">\udb80\udddb</span><span class="lsf ws1e">\uf346\uf0e0\ue7e2<span class="blank"> </span>\uf346</span><span class="ls12 ws9">\uf0da\uf0df</span><span class="lsf ws1e">\ue7e2<span class="blank"> </span>\uf0de<span class="fs2 ws35 v4">\udb80\udddc</span><span class="ff3 ws1f"> </span></span></div><div class="t m0 x1 h10 y9d ff5 fs3 fc0 sc0 lsf ws1f">A continuación calculam<span class="blank _0"></span>os el producto<span class="blank _0"></span> escalar: </div><div class="t m0 x73 h12 y9e ff7 fs3 fc0 sc0 lsf">\uee9c</div></div><div class="c x0 y1 w2f h0"><div class="t m0 x73 h12 y9f ff7 fs3 fc0 sc0 lsf">\udb80\uddcd</div></div><div class="c x74 y1 w12 h0"><div class="t m0 x45 h12 y9f ff7 fs3 fc0 sc0 lsf">\udb80\uddcd</div></div><div class="c x74 y1 w30 h0"><div class="t m0 x45 h12 y9f ff7 fs3 fc0 sc0 lsf">\ueb26</div></div><div class="c x0 y1 w2 h0"><div class="t m0 x75 h11 y9e ff7 fs3 fc0 sc0 ls26">\ue7e4<span class="lsf ws6 v4">\udb80\udddb</span><span class="ls4c ws4e">\uee9b\uee9e<span class="lsf">\uee9d</span></span></div></div><div class="c x0 y1 w31 h0"><div class="t m0 x76 h12 ya0 ff7 fs3 fc0 sc0 lsf">\udb80\uddcd</div></div><div class="c x77 y1 w20 h0"><div class="t m0 x45 h12 ya0 ff7 fs3 fc0 sc0 lsf">\udb80\uddcd</div></div><div class="c x78 y1 w20 h0"><div class="t m0 x45 h12 ya0 ff7 fs3 fc0 sc0 lsf">\udb80\uddcd</div></div><div class="c x79 y1 w32 h0"><div class="t m0 x47 h12 ya0 ff7 fs3 fc0 sc0 lsf">\ueb26</div></div><div class="c x0 y1 w2 h0"><div class="t m0 x7a h12 ya1 ff7 fs3 fc0 sc0 ls5">\udb80\udddc<span class="ls6 v5">\uf34c</span><span class="lsf ws6">\udb80\udddb<span class="ws19 v5">\uf0da\ue7e2<span class="blank"> </span>\uf346\uf0da\ue7e2<span class="blank"> </span>\uf0da</span>\udb80\udddc<span class="ls26 v5">\ue7e4</span>\udb80\udddb<span class="ws19 v5">\uf346\uf0e0\ue7e2<span class="blank"> </span>\uf346</span></span><span class="ls12 ws9 v5">\uf0da\uf0df</span><span class="lsf ws4f v5">\ue7e2<span class="blank"> </span>\uf0de</span>\udb80\udddc<span class="lsf ws46 v5">\uf43a<span class="blank"> </span>\uee9b</span></div></div><div class="c x0 y1 w33 h0"><div class="t m0 x7b h12 y9f ff7 fs3 fc0 sc0 lsf">\udb80\uddcd</div></div><div class="c x2b y1 wf h0"><div class="t m0 x45 h12 y9f ff7 fs3 fc0 sc0 lsf">\udb80\uddcd</div></div><div class="c x24 y1 w34 h0"><div class="t m0 x47 h12 y9f ff7 fs3 fc0 sc0 lsf">\ueb26</div></div><div class="c x0 y1 w2 h0"><div class="t m0 x7c h11 y9e ff7 fs3 fc0 sc0 ls26">\ue7e4<span class="lsf ws6 v4">\udb80\udddb</span><span class="lsf">\uee9c</span></div></div><div class="c x0 y1 w35 h0"><div class="t m0 x7d h12 y9f ff7 fs3 fc0 sc0 lsf">\udb80\uddcd</div></div><div class="c x7e y1 w12 h0"><div class="t m0 x45 h12 y9f ff7 fs3 fc0 sc0 lsf">\udb80\uddcd</div></div><div class="c x7e y1 w36 h0"><div class="t m0 x45 h12 y9f ff7 fs3 fc0 sc0 lsf">\ueb26</div></div><div class="c x0 y1 w2 h0"><div class="t m0 x7f h12 y9e ff7 fs3 fc0 sc0 lsf ws6">\uee9e\uee9d</div></div><div class="c x0 y1 w37 h0"><div class="t m0 x9 h12 ya0 ff7 fs3 fc0 sc0 lsf">\udb80\uddcd</div></div><div class="c x4b y1 w20 h0"><div class="t m0 x45 h12 ya0 ff7 fs3 fc0 sc0 lsf">\udb80\uddcd</div></div><div class="c x4c y1 w20 h0"><div class="t m0 x45 h12 ya0 ff7 fs3 fc0 sc0 lsf">\udb80\uddcd</div></div><div class="c x2e y1 w38 h0"><div class="t m0 x47 h12 ya0 ff7 fs3 fc0 sc0 lsf">\ueb26</div></div><div class="c x0 y1 w2 h0"><div class="t m0 xf h12 ya1 ff7 fs3 fc0 sc0 ls5">\udb80\udddc<span class="lsf ws11 v5">\uf34c<span class="blank _6"> </span>\uf0da\ue7e4<span class="blank"> </span></span><span class="lsf ws6">\udb80\udddb<span class="v5">\uf346\uf0e0</span><span class="ls4a">\udb80\udddc<span class="ls9 v5">\uf345</span></span>\udb80\udddb<span class="v5">\uf346\uf0da</span>\udb80\udddc<span class="ls26 v5">\ue7e4</span>\udb80\udddb<span class="ls4b v5">\uf346</span></span><span class="ls12 ws9 v5">\uf0da\uf0df</span><span class="ls45">\udb80\udddc<span class="lsf ws11 v5">\uf345<span class="blank _4"> </span>\uf0da\ue7e4<span class="blank"> </span>\uf0de<span class="ff3 ws1f"> </span></span></span></div><div class="t m0 x80 h12 ya2 ff7 fs3 fc0 sc0 lsf">\uee9b</div></div><div class="c x0 y1 w39 h0"><div class="t m0 x80 h12 ya3 ff7 fs3 fc0 sc0 lsf">\udb80\uddcd</div></div><div class="c x81 y1 wf h0"><div class="t m0 x45 h12 ya3 ff7 fs3 fc0 sc0 lsf">\udb80\uddcd</div></div><div class="c x82 y1 w3a h0"><div class="t m0 x47 h12 ya3 ff7 fs3 fc0 sc0 lsf">\ueb26</div></div><div class="c x0 y1 w2 h0"><div class="t m0 x3f h11 ya2 ff7 fs3 fc0 sc0 ls26">\ue7e4<span class="lsf ws6 v4">\udb80\udddb</span><span class="lsf">\uee9c</span></div></div><div class="c x0 y1 w3b h0"><div class="t m0 xd h12 ya3 ff7 fs3 fc0 sc0 lsf">\udb80\uddcd</div></div><div class="c x2c y1 w12 h0"><div class="t m0 x45 h12 ya3 ff7 fs3 fc0 sc0 lsf">\udb80\uddcd</div></div><div class="c x35 y1 w3c h0"><div class="t m0 x45 h12 ya3 ff7 fs3 fc0 sc0 lsf">\ueb26</div></div><div class="c x0 y1 w2 h0"><div class="t m0 x11 h12 ya2 ff7 fs3 fc0 sc0 lsf ws6">\uee9e\uee9d</div></div><div class="c x0 y1 w3d h0"><div class="t m0 x61 h12 ya4 ff7 fs3 fc0 sc0 lsf">\udb80\uddcd</div></div><div class="c x18 y1 w20 h0"><div class="t m0 x45 h12 ya4 ff7 fs3 fc0 sc0 lsf">\udb80\uddcd</div></div><div class="c x62 y1 w20 h0"><div class="t m0 x45 h12 ya4 ff7 fs3 fc0 sc0 lsf">\udb80\uddcd</div></div><div class="c x83 y1 w3e h0"><div class="t m0 x47 h12 ya4 ff7 fs3 fc0 sc0 lsf">\ueb26</div></div><div class="c x0 y1 w2 h0"><div class="t m0 x84 h12 ya5 ff7 fs3 fc0 sc0 ls5">\udb80\udddc<span class="lsf ws31 v5">\uf34c<span class="blank _6"> </span>\uf346\uf0e0<span class="blank"> </span>\uf345<span class="blank"> </span></span><span class="ls12 ws50 v5">\uf0da\uf0df<span class="blank"> </span></span><span class="lsf ws7 v5">\uf345<span class="blank"> </span>\uf0de<span class="blank _6"> </span>\uf43a<span class="blank _6"> </span>\uee9b</span></div></div><div class="c x0 y1 w3f h0"><div class="t m0 x26 h12 ya3 ff7 fs3 fc0 sc0 lsf">\udb80\uddcd</div></div><div class="c x4d y1 wf h0"><div class="t m0 x45 h12 ya3 ff7 fs3 fc0 sc0 lsf">\udb80\uddcd</div></div><div class="c x41 y1 w40 h0"><div class="t m0 x47 h12 ya3 ff7 fs3 fc0 sc0 lsf">\ueb26</div></div><div class="c x0 y1 w2 h0"><div class="t m0 x25 h11 ya2 ff7 fs3 fc0 sc0 ls26">\ue7e4<span class="lsf ws6 v4">\udb80\udddb</span><span class="lsf">\uee9c</span></div></div><div class="c x0 y1 w41 h0"><div class="t m0 x85 h12 ya3 ff7 fs3 fc0 sc0 lsf">\udb80\uddcd</div></div><div class="c x86 y1 w12 h0"><div class="t m0 x45 h12 ya3 ff7 fs3 fc0 sc0 lsf">\udb80\uddcd</div></div><div class="c x86 y1 w42 h0"><div class="t m0 x45 h12 ya3 ff7 fs3 fc0 sc0 lsf">\ueb26</div></div><div class="c x0 y1 w2 h0"><div class="t m0 x3e h12 ya2 ff7 fs3 fc0 sc0 lsf ws6">\uee9e\uee9d</div></div><div class="c x0 y1 w43 h0"><div class="t m0 x87 h12 ya4 ff7 fs3 fc0 sc0 lsf">\udb80\uddcd</div></div><div class="c x88 y1 w20 h0"><div class="t m0 x45 h12 ya4 ff7 fs3 fc0 sc0 lsf">\udb80\uddcd</div></div><div class="c x89 y1 w20 h0"><div class="t m0 x45 h12 ya4 ff7 fs3 fc0 sc0 lsf">\udb80\uddcd</div></div><div class="c x8a y1 w44 h0"><div class="t m0 x47 h12 ya4 ff7 fs3 fc0 sc0 lsf">\ueb26</div></div><div class="c x0 y1 w2 h0"><div class="t m0 x8b h12 ya5 ff7 fs3 fc0 sc0 ls5">\udb80\udddc<span class="ls6 v5">\uf34c<span class="ls12 ws9">\uf0da\uf0dd<span class="ff5 lsf ws1f"> </span></span></span></div><div class="t m0 x1 h10 ya6 ff5 fs3 fc0 sc0 lsf ws1f"> </div><div class="t m0 x1 h6 ya7 ff3 fs3 fc0 sc0 lsf ws1f"> </div><div class="t m0 x1 h39 ya8 ffa fs3 fc0 sc0 lsf ws1f"> </div></div><div class="c x0 y40 wc h21"><div class="t m0 x21 h22 y41 ff4 fs3 fc1 sc0 lsf ws1f"><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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