document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=600133>Question 600133</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 15.  find the standard form of the equation of the ellipse with center at the origin, vertices at the origin, vertices at (+/-5,0) and foci at (+/-3,0)\r<BR>\n" );
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document.write( "16.  Find the standard form of the ellipse with center at the origin, vertices at (0,+/-4), and minor axis of length 6.\r<BR>\n" );
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document.write( "17.  Find the standard form of the equation of the ellipse with vertices at (-2,3) and (6,3) and major axis of length 12.\r<BR>\n" );
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document.write( "18.  find the standard form of the equation of the ellipse with vertices at (5,-2) and (-7,-2) and minor axis of length 4.\r<BR>\n" );
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document.write( "19.  Find the standard form of the equation of the ellipse with minor axis of length 6, center at (5,-1) and a focus at (-1,-1).  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #379229 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=379229\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 15. find the standard form of the equation of the ellipse with center at the origin, vertices at (+/-5,0) and foci at (+/-3,0) <BR>\n" );
document.write( "19. Find the standard form of the equation of the ellipse with minor axis of length 6, center at (5,-1) and a focus at (-1,-1).<BR>\n" );
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document.write( "I will do problems 15 and 19. Problems 16, 17, and 18 are similar to 15\r<BR>\n" );
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document.write( "15. find the standard form of the equation of the ellipse with center at the origin, vertices at (+/-5,0) and foci at (+/-3,0) <BR>\n" );
document.write( "This is an ellipse with horizontal major axis.<BR>\n" );
document.write( "Its standard form of equation: (x-h)^2+(y-k)^2=1, a>b, (h,k)=(x,y) coordinates of center.<BR>\n" );
document.write( "For given ellipse:<BR>\n" );
document.write( "center(0,0)<BR>\n" );
document.write( "a=5<BR>\n" );
document.write( "a^2=25<BR>\n" );
document.write( "c=3<BR>\n" );
document.write( "c^2=9<BR>\n" );
document.write( "c^2=a^2-b^2<BR>\n" );
document.write( "b^2=a^2-c^2<BR>\n" );
document.write( "b^2=25-9=16<BR>\n" );
document.write( "Equation for given ellipse:<BR>\n" );
document.write( "x^2/25+y^2/z16=1<BR>\n" );
document.write( "..<BR>\n" );
document.write( "19. Find the standard form of the equation of the ellipse with minor axis of length 6, center at (5,-1) and a focus at (-1,-1).<BR>\n" );
document.write( "This is an ellipse also with horizontal major axis.<BR>\n" );
document.write( "Its standard form of equation: (x-h)^2+(y-k)^2=1, a>b, (h,k)=(x,y) coordinates of center.<BR>\n" );
document.write( "For given ellipse:<BR>\n" );
document.write( "center: (5,-1)<BR>\n" );
document.write( "2b=6<BR>\n" );
document.write( "b=3<BR>\n" );
document.write( "b^2=9<BR>\n" );
document.write( "c=(5-1/2=4/2=2<BR>\n" );
document.write( "c^2=4<BR>\n" );
document.write( "c^2=a^2-b^2<BR>\n" );
document.write( "a^2=c^2+b^2=4+9=13<BR>\n" );
document.write( "a^2=13<BR>\n" );
document.write( "a&#8776;&#8730;13&#8776;3.6<BR>\n" );
document.write( "Equation for given ellipse:<BR>\n" );
document.write( " (x-5)^2/13+(y+1)^2/9=1<BR>\n" );
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