document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1081076>Question 1081076</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find a polar equation of a hyperbola with its focus at the pole, an eccentricity of e =<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F2 ALIGN=MIDDLE  ALT=\"5%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and directrix at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=4 ALIGN=MIDDLE  ALT=\"y=4\"   DISABLED_style= \"max-width:90%; height:auto;\" >, thank you. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #695167 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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/cgi-bin/show-face.mpl?user=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=695167\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> given:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=e+=5%2F2 ALIGN=MIDDLE  ALT=\"e+=5%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and directrix at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=4 ALIGN=MIDDLE  ALT=\"y=4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The standard form for the polar conics is:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r+=+ep%2F%281+%2B+e%2Asin%28theta%29%29 ALIGN=MIDDLE  ALT=\"r+=+ep%2F%281+%2B+e%2Asin%28theta%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r+=+%285%2F2%294+%2F+%281+%2B+%285%2F2%29sin%28theta%29%29 ALIGN=MIDDLE  ALT=\"r+=+%285%2F2%294+%2F+%281+%2B+%285%2F2%29sin%28theta%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r+=+%285%2Fcross%282%29%29cross%284%292+%2F+%281+%2B+%285%2F2%29sin%28theta%29%29 ALIGN=MIDDLE  ALT=\"r+=+%285%2Fcross%282%29%29cross%284%292+%2F+%281+%2B+%285%2F2%29sin%28theta%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r+=+%285%2A2%29+%2F+%281+%2B+%285%2F2%29sin%28theta%29%29 ALIGN=MIDDLE  ALT=\"r+=+%285%2A2%29+%2F+%281+%2B+%285%2F2%29sin%28theta%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r+=+10+%2F+%281+%2B+%285%2F2%29sin%28theta%29%29 ALIGN=MIDDLE  ALT=\"r+=+10+%2F+%281+%2B+%285%2F2%29sin%28theta%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "to make it clear what the parameters are, <BR>\n" );
document.write( "or, if you dislike fractions,\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r+=+10+%2F+%281%2F2%29%282+%2B+5sin%28theta%29%29 ALIGN=MIDDLE  ALT=\"r+=+10+%2F+%281%2F2%29%282+%2B+5sin%28theta%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r+=+10%2A2%2F%282%2B5sin%28theta%29%29 ALIGN=MIDDLE  ALT=\"r+=+10%2A2%2F%282%2B5sin%28theta%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r+=+20%2F%282%2B5sin%28theta%29%29 ALIGN=MIDDLE  ALT=\"r+=+20%2F%282%2B5sin%28theta%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );