186

<body topmargin=0 leftmargin=0 marginheight=0 marginwidth=0> <table cellpadding=0 cellspacing=0 border=0><tr> <td valign="top" colspan=3 height=24 BGCOLOR="#003333" TEXT="#F7F7FF"> <div> <FONT SIZE="4" COLOR="#FFFFFF" FACE="Georgia" ><B>M</B></FONT><FONT SIZE="4" COLOR="#FFFFFF" FACE="Georgia" ><B>atemáticas de la U</B></FONT><B> (MatU)  | </B><A HREF="http://www.jcbmat.com/" TARGET="_top" TITLE="http://www.jcbmat.com/"><U><B>Home</B></U></A><B> | </B><A HREF="index.htm" TARGET="_top" TITLE="Álgebra de Baldor"><U><B>Algebra de Baldor</B></U></A><B> |  </B><A HREF="id1076.htm" TARGET="_top" TITLE="Índice temático"><U><B>Índice temático</B></U></A><B>  |  </B><A HREF="id1073.htm" TARGET="_top" TITLE="Lista"><U><B>Lista de Ejercicios</B></U></A><B> |</B></div> </td> </tr><tr> <td valign="top" rowspan="2" width=165 BGCOLOR="#FFFFFF" TEXT="#080000"> <div> <B> <script async src="//pagead2.googlesyndication.com/pagead/js/adsbygoogle.js"></script>  <ins class="adsbygoogle" style="display:inline-block;width:160px;height:600px" data-ad-client="ca-pub-1578463498418701" data-ad-slot="3073775660"></ins> <script> (adsbygoogle = window.adsbygoogle || []).push({}); </script>  </B></div> </td> <td valign="top" height=432 BGCOLOR="#FFFFFF" TEXT="#080000"> <div> <B>186</B></div> <div> <B>Ecuaciones simultáneas con tres incógnitas</B></div> <bR> <div>  <script async src="https://pagead2.googlesyndication.com/pagead/js/adsbygoogle.js"></script>  <ins class="adsbygoogle" style="display:inline-block;width:970px;height:250px" data-ad-client="ca-pub-1578463498418701" data-ad-slot="8553279920"></ins> <script> (adsbygoogle = window.adsbygoogle || []).push({}); </script>  </div> <bR> <div> <B>P r o c e d i m i e n t o</B></div> <div> <B>P</B><FONT SIZE="4" COLOR="#111111" FACE="Bell MT" >ara resolver un sistema de tres ecuaciones con tres incógnitas, se procede de la siguiente manera:</FONT></div> <div> <B>1.</B><FONT SIZE="4" COLOR="#000000" FACE="Bell MT" >  </FONT><FONT SIZE="4" COLOR="#111111" FACE="Bell MT" >Se nombran las ecuaciones</FONT></div> <div> <B>2.</B><FONT SIZE="4" COLOR="#000000" FACE="Bell MT" > </FONT><FONT SIZE="4" COLOR="#111111" FACE="Bell MT" > Se combinan dos de las ecuaciones y se elimina una de las incógnitas (por suma  o resta: previamente multiplicando los coeficientes por números adecuados); se obtiene así una ecuación con sólo dos incógnitas</FONT></div> <div> <B>3.</B><FONT SIZE="4" COLOR="#333399" FACE="Bell MT" >  </FONT><FONT SIZE="4" COLOR="#111111" FACE="Bell MT" >Se combina la otra ecuación con una cualquiera de las anteriores y, de manera similar al paso anterior, eliminamos la misma incógnita; obteniéndose así otra ecuación con dos incógnitas</FONT></div> <div> <B>4.</B><FONT SIZE="4" COLOR="#0000FF" FACE="Bell MT" > </FONT><FONT SIZE="4" COLOR="#333399" FACE="Bell MT" > </FONT><FONT SIZE="4" COLOR="#111111" FACE="Bell MT" >Solucionamos el sistema de dos ecuaciones con dos incógnitas halladas en los dos pasos precedentes; encontrando así los valores de las dos incógnitas</FONT></div> <div> <B>5.</B><FONT SIZE="4" COLOR="#0000FF" FACE="Bell MT" > </FONT><FONT SIZE="4" COLOR="#111111" FACE="Bell MT" > Se sustituye, en una de las ecuaciones originales, los valores de las dos incógnitas encontrados en el paso anterior, para hallar así la tercera incógnita.</FONT></div> <bR> <DIV ALIGN="LEFT"></DIV> <div> <B>Enunciados y enlaces a las soluciones de los problemas del Ejercicio 186</B></div> <bR> <div> <B>S</B><FONT SIZE="4" COLOR="#000000" FACE="Bell MT" >olución en imagen <IMG SRC="598018180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"> y o video <IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"> de los treinta y dos problemas del Ejercicio 186:</FONT></div> <div> <B>R</B><FONT SIZE="4" COLOR="#000000" FACE="Bell MT" >esolver los sitemas:</FONT></div> <div> <FONT SIZE="4" COLOR="#000000" FACE="Times New Roman" ><IMG SRC="8188a5540.gif" border=0 width="165" height="84" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></FONT><A HREF="#1_1" TITLE="186"><U><IMG SRC="598018180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A><A HREF="https://youtu.be/lLXFlhzHECE" TARGET="_top" TITLE="https://youtu.be/lLXFlhzHECE"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A><FONT SIZE="4" COLOR="#000000" FACE="Times New Roman" >       <IMG SRC="818991540.gif" border=0 width="145" height="84" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></FONT><A HREF="https://youtu.be/Y40V36KCkdk" TARGET="_top" TITLE="https://youtu.be/Y40V36KCkdk"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A><FONT SIZE="4" COLOR="#000000" FACE="Times New Roman" >       <IMG SRC="818aa7540.gif" border=0 width="167" height="84" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></FONT><A HREF="https://youtu.be/0yLU6KVW6FM" TARGET="_top" TITLE="https://youtu.be/0yLU6KVW6FM"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A><FONT SIZE="4" COLOR="#000000" FACE="Times New Roman" >       <IMG SRC="818bb0540.gif" border=0 width="176" height="84" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></FONT><A HREF="https://youtu.be/z3GRL7sehUU" TARGET="_top" TITLE="https://youtu.be/z3GRL7sehUU"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> <div> <FONT SIZE="4" COLOR="#000000" FACE="Times New Roman" ><IMG SRC="818cb0540.gif" border=0 width="176" height="84" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></FONT><A HREF="https://youtu.be/Y40V36KCkdk" TARGET="_top" TITLE="https://youtu.be/Y40V36KCkdk"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A><FONT SIZE="4" COLOR="#000000" FACE="Times New Roman" >       <IMG SRC="818dbb540.gif" border=0 width="187" height="84" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></FONT><A HREF="https://youtu.be/24nGjRlvOCQ" TARGET="_top" TITLE="https://youtu.be/24nGjRlvOCQ"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A>       <FONT SIZE="4" COLOR="#000000" FACE="Times New Roman" ><IMG SRC="8193ad540.gif" border=0 width="173" height="84" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></FONT><A HREF="https://youtu.be/24nGjRlvOCQ" TARGET="_top" TITLE="https://youtu.be/24nGjRlvOCQ"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A><FONT SIZE="4" COLOR="#000000" FACE="Times New Roman" >       <IMG SRC="8194b4540.gif" border=0 width="180" height="84" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></FONT><A HREF="https://youtu.be/IzhH11I_F1g" TARGET="_top" TITLE="https://youtu.be/IzhH11I_F1g"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> <div> <IMG SRC="8195ab540.gif" border=0 width="171" height="84" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"><FONT SIZE="4" COLOR="#000000" FACE="Bell MT" ><A HREF="https://youtu.be/yzPL9Qh3PVo" TARGET="_top" TITLE="https://youtu.be/yzPL9Qh3PVo"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></FONT>       <IMG SRC="8196b3540.gif" border=0 width="179" height="84" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"><FONT SIZE="4" COLOR="#000000" FACE="Bell MT" ><A HREF="https://youtu.be/G20PZy1UpwE" TARGET="_top" TITLE="https://youtu.be/G20PZy1UpwE"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></FONT>       <IMG SRC="8197c4540.gif" border=0 width="196" height="84" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"><FONT SIZE="4" COLOR="#000000" FACE="Bell MT" ><A HREF="https://youtu.be/G20PZy1UpwE" TARGET="_top" TITLE="https://youtu.be/G20PZy1UpwE"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></FONT>       <IMG SRC="8198b7540.gif" border=0 width="183" height="84" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"><FONT SIZE="4" COLOR="#000000" FACE="Bell MT" ><A HREF="https://youtu.be/rDaxQhshftc" TARGET="_top" TITLE="https://youtu.be/rDaxQhshftc"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></FONT></div> <div> <IMG SRC="8199d1540.gif" border=0 width="209" height="84" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"><FONT SIZE="4" COLOR="#000000" FACE="Bell MT" ><A HREF="https://youtu.be/_GtqmOXFI5M" TARGET="_top" TITLE="https://youtu.be/_GtqmOXFI5M"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></FONT>       <IMG SRC="81a0b9540.gif" border=0 width="185" height="84" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"><FONT SIZE="4" COLOR="#000000" FACE="Bell MT" ><A HREF="https://youtu.be/eNunAhjCsLk" TARGET="_top" TITLE="https://youtu.be/eNunAhjCsLk"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></FONT>       <IMG SRC="81a183540.gif" border=0 width="131" height="84" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"><FONT SIZE="4" COLOR="#000000" FACE="Bell MT" ><A HREF="https://youtu.be/yX9T7UGP2fg" TARGET="_top" TITLE="https://youtu.be/yX9T7UGP2fg"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></FONT>       <IMG SRC="819a8d540.gif" border=0 width="141" height="84" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"><FONT SIZE="4" COLOR="#000000" FACE="Bell MT" ><A HREF="https://youtu.be/yX9T7UGP2fg" TARGET="_top" TITLE="https://youtu.be/yX9T7UGP2fg"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></FONT>       </div> <div> <IMG SRC="819b95540.gif" border=0 width="149" height="84" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"><FONT SIZE="4" COLOR="#000000" FACE="Bell MT" ><A HREF="https://youtu.be/mSl8rMFxtSs" TARGET="_top" TITLE="https://youtu.be/mSl8rMFxtSs"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></FONT>       <IMG SRC="818e95540.gif" border=0 width="149" height="84" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"><FONT SIZE="4" COLOR="#000000" FACE="Bell MT" ><A HREF="#18" TITLE="186"><U><IMG SRC="598018180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A><A HREF="https://youtu.be/1Wa03p-rED4" TARGET="_top" TITLE="https://youtu.be/1Wa03p-rED4"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></FONT>       <IMG SRC="819c9f540.gif" border=0 width="159" height="84" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"><FONT SIZE="4" COLOR="#000000" FACE="Bell MT" ><A HREF="https://youtu.be/PNSi1aJIASc" TARGET="_top" TITLE="https://youtu.be/PNSi1aJIASc"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></FONT>       <IMG SRC="819d93540.gif" border=0 width="147" height="84" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"><FONT SIZE="4" COLOR="#000000" FACE="Bell MT" ><A HREF="https://youtu.be/PNSi1aJIASc" TARGET="_top" TITLE="https://youtu.be/PNSi1aJIASc"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></FONT>       </div> <div> <FONT SIZE="4" COLOR="#000000" FACE="Times New Roman" ><IMG SRC="819ea5540.gif" border=0 width="165" height="84" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></FONT><A HREF="https://youtu.be/kwKWu-IukyU" TARGET="_top" TITLE="https://youtu.be/kwKWu-IukyU"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A><FONT SIZE="4" COLOR="#000000" FACE="Times New Roman" >       <IMG SRC="819faf540.gif" border=0 width="175" height="84" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></FONT><A HREF="https://youtu.be/kwKWu-IukyU" TARGET="_top" TITLE="https://youtu.be/kwKWu-IukyU"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A>       <FONT SIZE="4" COLOR="#000000" FACE="Times New Roman" ><IMG SRC="81a294410.gif" border=0 width="148" height="65" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></FONT><A HREF="https://youtu.be/mSl8rMFxtSs" TARGET="_top" TITLE="https://youtu.be/mSl8rMFxtSs"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A><FONT SIZE="4" COLOR="#000000" FACE="Times New Roman" >       <IMG SRC="81a3a37f0.gif" border=0 width="163" height="127" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></FONT><A HREF="https://youtu.be/HBpX7AxA494" TARGET="_top" TITLE="https://youtu.be/HBpX7AxA494"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> <div> <FONT SIZE="4" COLOR="#000000" FACE="Times New Roman" > <IMG SRC="818fa7990.gif" border=0 width="167" height="153" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></FONT><A HREF="#25" TITLE="186"><U><IMG SRC="598018180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A><A HREF="https://youtu.be/H5ofIET8TU8" TARGET="_top" TITLE="https://youtu.be/H5ofIET8TU8"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A>          <IMG SRC="81d099770.gif" border=0 width="153" height="119" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"><A HREF="https://youtu.be/GcKN1kVXDcs" TARGET="_top" TITLE="https://youtu.be/GcKN1kVXDcs"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A>       <FONT SIZE="4" COLOR="#000000" FACE="Times New Roman" ><IMG SRC="819081a10.gif" border=0 width="129" height="161" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></FONT><A HREF="#31" TITLE="186"><U><IMG SRC="598018180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A><FONT SIZE="4" COLOR="#000000" FACE="Times New Roman" >       <IMG SRC="8191a8a40.gif" border=0 width="168" height="164" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></FONT><A HREF="#32" TITLE="186"><U><IMG SRC="598018180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> <bR> <DIV ALIGN="LEFT"></DIV> <div> <B>Lista de reproducción sobre las soluciones del Ejercicio 186</B></div> <bR> <div> <B> <iframe width="560" height="315" src="https://www.youtube.com/embed/videoseries?list=PLq_SQwoOZHo1SheMuRAsGB2vP_baj0naC" frameborder="0" allow="autoplay; encrypted-media" allowfullscreen></iframe>  </B></div> <div>  <A NAME="1_1"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A><FONT SIZE="3" COLOR="#FFFFFF" FACE="Times New Roman" >1</FONT></div> <div> <IMG SRC="60b1c9a70.gif" border=0 width="713" height="679" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <div>  <A NAME="18"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>18</div> <div> <IMG SRC="60b247ac0.gif" border=0 width="839" height="684" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <div>  <A NAME="25"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>25</div> <div> <IMG SRC="60b368470.gif" border=0 width="872" height="839" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <div>  <A NAME="31"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>31</div> <div> <IMG SRC="617650fc0.gif" border=0 width="592" height="1020" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <div>  <A NAME="32"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>32</div> <div> <IMG SRC="61758cdc0.gif" border=0 width="652" height="1244" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <bR> <bR> <DIV ALIGN="LEFT"></DIV> <div> <A HREF="http://twitter.com/Calculo21" TARGET="_top" TITLE="http://twitter.com/Calculo21"><U><IMG SRC="2fc828280.jpg" border=0 width="40" height="40" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A><A HREF="http://www.facebook.com/juan.beltran.58511" TARGET="_top" TITLE="http://www.facebook.com/juan.beltran.585"><U><IMG SRC="76fa28280.gif" border=0 width="40" height="40" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A><A HREF="https://www.youtube.com/user/MatematicaAplicadas" TARGET="_top" TITLE="https://www.youtube.com/user/MatematicaA"><U><IMG SRC="2fca28280.jpg" border=0 width="40" height="40" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> <bR> <div> Por: <FONT SIZE="4" COLOR="#FF9900" FACE="Times New Roman" >Juan Carlos </FONT><FONT SIZE="4" COLOR="#0000FF" FACE="Times New Roman" >Beltrán</FONT> <FONT SIZE="4" COLOR="#FF0000" FACE="Times New Roman" >Beltrán </FONT></div> <bR> <div>  <script async src="https://pagead2.googlesyndication.com/pagead/js/adsbygoogle.js"></script>  <ins class="adsbygoogle" style="display:inline-block;width:970px;height:250px" data-ad-client="ca-pub-1578463498418701" data-ad-slot="8553279920"></ins> <script> (adsbygoogle = window.adsbygoogle || []).push({}); </script>  </div> <bR> <div> <A HREF="http://calculo21.com/" TARGET="_top" TITLE="http://calculo21.com/"><U><B><IMG SRC="76fee5530.gif" border=0 width="741" height="83" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></B></U></A></div> <div> | <A HREF="https://calculo21.com/tabla-de-contenido/funciones-y-sus-graficas/" TARGET="_top" TITLE="https://calculo21.com/tabla-de-contenido"><U>Funciones</U></A> | <A HREF="https://calculo21.com/tabla-de-contenido/limites-y-continuidad/" TARGET="_top" TITLE="https://calculo21.com/tabla-de-contenido"><U>Límites y continuidad</U></A> | <A HREF="https://calculo21.com/tabla-de-contenido/la-derivada/" TARGET="_top" TITLE="https://calculo21.com/tabla-de-contenido"><U>La derivada</U></A> | <A HREF="https://calculo21.com/aplicaciones-de-la-derivada/" TARGET="_top" TITLE="https://calculo21.com/aplicaciones-de-la"><U>Aplicaciones de la derivada</U></A> |</div> <div> | <A HREF="https://calculo21.com/tabla-de-contenido/la-integral-y-tecnicas-ee-integracion/" TARGET="_top" TITLE="https://calculo21.com/tabla-de-contenido"><U>La integral</U></A> | <A HREF="https://calculo21.com/aplicaciones-de-la-integral/" TARGET="_top" TITLE="https://calculo21.com/aplicaciones-de-la"><U>Aplicaciones de la integral</U></A> |</div> <div> | <A HREF="https://calculo21.com/tabla-de-contenido/sucesiones-y-series/" TARGET="_top" TITLE="https://calculo21.com/tabla-de-contenido"><U>Sucesiones y series infinitas</U></A> |</div> <div> | <A HREF="https://calculo21.com/ecuaciones-parametricas-y-coordenadas-polares/" TARGET="_top" TITLE="https://calculo21.com/ecuaciones-paramet"><U>Cónicas - Polares - Paramétricas</U></A> |</div> <div> | <A HREF="https://calculo21.com/ecuaciones-diferenciales/" TARGET="_top" TITLE="https://calculo21.com/ecuaciones-diferen"><U>Ecuaciones diferenciales</U></A> |</div> <div> | <A HREF="https://calculo21.com/calculo-vectorial/" TARGET="_top" TITLE="https://calculo21.com/calculo-vectorial/"><U>Cálculo vectorial</U></A> | <A HREF="https://calculo21.com/algebra-lineal/" TARGET="_top" TITLE="https://calculo21.com/algebra-lineal/"><U>Álgebra lineal</U></A> |</div> <div> | <A HREF="http://www.algebra.jcbmat.com/index.htm" TARGET="_top" TITLE="http://www.algebra.jcbmat.com/index.htm"><U>Álgebra de Baldor</U></A> | </div> <div> | <A HREF="http://calculo21.blogspot.com/" TARGET="_top" TITLE="http://calculo21.blogspot.com/"><U>Blog Cálculo21</U></A> | <A HREF="http://videomate21.blogspot.com/" TARGET="_top" TITLE="http://videomate21.blogspot.com/"><U>Blog Algebra de Baldor</U></A> | <A HREF="http://equat21z.blogspot.com/" TARGET="_top" TITLE="http://equat21z.blogspot.com/"><U>Blog Ecuaciones diferenciales</U></A> | <A HREF="http://bancomate.blogspot.com.co/" TARGET="_top" TITLE="http://bancomate.blogspot.com.co/"><U>Blog Banco de matemáticas</U></A> |</div> <div> | <A HREF="https://www.youtube.com/user/MatematicaAplicadas" TARGET="_top" TITLE="https://www.youtube.com/user/MatematicaA"><U>Canal de YouTube</U></A> |</div> <bR> </td> <td valign="top" rowspan="2" width=105 BGCOLOR="#FFFFFF" TEXT="#080000"> <div> <A HREF="https://www.youtube.com/user/MatematicaAplicadas" TARGET="_top" TITLE="https://www.youtube.com/user/MatematicaA"><U><B><IMG SRC="76f464580.gif" border=0 width="100" height="600" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></B></U></A></div> <bR> </td> </tr><tr> <td valign="top" height=24 BGCOLOR="#003333" TEXT="#F7F7FF"> <div>  <form action="http://www.google.com.co" id="cse-search-box" target="_blank"> <div> <input type="hidden" name="cx" value="partner-pub-6266400581769473:6497222116" /> <input type="hidden" name="ie" value="UTF-8" /> <input type="text" name="q" size="64" /> <input type="submit" name="sa" value="Buscar en MatU" /> </div> </form> <script type="text/javascript" src="http://www.google.com.co/coop/cse/brand?form=cse-search-box&lang=es"></script>  </div> </td> </tr></table></body>