document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=784568>Question 784568</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please, someone should help me. Here is the question. Transform this equation from polar coordinate to rectangular coordinate. r= 3 raise to the power theta. Thanks. I tried to multiply thru by r so that i can substitute r^2 for x^2 +y^2 but how to manipulate the side is the problem.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #477145 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</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=477145\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Convert the polar equation\r<BR>\n" );
document.write( "\n" );
document.write( "given: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=+3%5E%28theta%29 ALIGN=MIDDLE  ALT=\"r=+3%5E%28theta%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "to rectangular form.\r<BR>\n" );
document.write( "\n" );
document.write( "Solution :\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "     <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=+3%5E%28theta%29 ALIGN=MIDDLE  ALT=\"r=+3%5E%28theta%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >....multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r ALIGN=MIDDLE  ALT=\"r\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%2Ar=+r%2A3%5E%28theta%29 ALIGN=MIDDLE  ALT=\"r%2Ar=+r%2A3%5E%28theta%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5E2=+r%2A3%5E%28theta%29+ ALIGN=MIDDLE  ALT=\"r%5E2=+r%2A3%5E%28theta%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "We now use the relationship between polar and rectangular coordinates: \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5E+2+=+x+%5E2+%2B+y%5E+2 ALIGN=MIDDLE  ALT=\"r%5E+2+=+x+%5E2+%2B+y%5E+2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+r%2A3%5E%28theta%29 ALIGN=MIDDLE  ALT=\"y+=+r%2A3%5E%28theta%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  to rewrite the equation as follows:\r<BR>\n" );
document.write( "\n" );
document.write( "   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E2+%2B+y+%5E2+=+r%2A3%5E%28theta%29 ALIGN=MIDDLE  ALT=\"+x%5E2+%2B+y+%5E2+=+r%2A3%5E%28theta%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
document.write( "\n" );
document.write( "    <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E+2+%2B+y+%5E2+-+y++=+0 ALIGN=MIDDLE  ALT=\"x%5E+2+%2B+y+%5E2+-+y++=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >....complete the square\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E+2+%2B+y+%5E2+-+y%2B1%2F4-1%2F4++=+0 ALIGN=MIDDLE  ALT=\"x%5E+2+%2B+y+%5E2+-+y%2B1%2F4-1%2F4++=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E+2+%2B+%28y++-1%2F2%29%5E2++=+1%2F4 ALIGN=MIDDLE  ALT=\"x%5E+2+%2B+%28y++-1%2F2%29%5E2++=+1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > or\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-0%29%5E+2+%2B+%28y++-1%2F2%29%5E2++=+%281%2F2%29%5E2 ALIGN=MIDDLE  ALT=\"%28x-0%29%5E+2+%2B+%28y++-1%2F2%29%5E2++=+%281%2F2%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
document.write( "\n" );
document.write( "so, it is the equation of a circle with\r<BR>\n" );
document.write( "\n" );
document.write( "center:   ( <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+0+ ALIGN=MIDDLE  ALT=\"+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >)   <BR>\n" );
document.write( "radius: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   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=drawing%28+600%2C+600%2C+-3%2C+3%2C+-3%2C+3%2Ccircle%280%2C1%2F2%2C0.05%29%2C%0D%0A++grid%28+1+%29%2C%0D%0A++circle%28+0%2C+1%2F2%2C+1%2F2+%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );