document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1157773>Question 1157773</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write each cartesian equation in polar form<BR>\n" );
document.write( "a) x^2 + y^2 = 16<BR>\n" );
document.write( "b) x^2 + y^2 = 10<BR>\n" );
document.write( "c) y = 3<BR>\n" );
document.write( "d) y = -4x<BR>\n" );
document.write( "e) 3xy = 5 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #780719 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=780719\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a)\r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+y%5E2+=+16 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+y%5E2+=+16\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "to convert to Polar apply: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=r%2Acos+%28theta+%29 ALIGN=MIDDLE  ALT=\"x=r%2Acos+%28theta+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=r%2Asin%28theta+%29 ALIGN=MIDDLE  ALT=\"y=r%2Asin%28theta+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28r%2Acos+%28theta+%29%29%5E2+%2B+%28r%2Asin%28theta+%29%29%5E2+=+16 ALIGN=MIDDLE  ALT=\"%28r%2Acos+%28theta+%29%29%5E2+%2B+%28r%2Asin%28theta+%29%29%5E2+=+16\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5E2%2Acos%5E2+%28theta+%29+%2B+r%5E2%2Asin%5E2%28theta+%29+=+16 ALIGN=MIDDLE  ALT=\"r%5E2%2Acos%5E2+%28theta+%29+%2B+r%5E2%2Asin%5E2%28theta+%29+=+16\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5E2%28cos%5E2+%28theta+%29+%2B+sin%5E2%28theta+%29%29+=+16 ALIGN=MIDDLE  ALT=\"r%5E2%28cos%5E2+%28theta+%29+%2B+sin%5E2%28theta+%29%29+=+16\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5E2%281%29+=+16 ALIGN=MIDDLE  ALT=\"r%5E2%281%29+=+16\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So, in your case, the equation becomes simply \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5E2+=+16 ALIGN=MIDDLE  ALT=\"r%5E2+=+16\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "This means that the equation represents all the points with distance<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4 ALIGN=MIDDLE  ALT=\"+4\"   DISABLED_style= \"max-width:90%; height:auto;\" > from the origin, which is a circumference with radius <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4 ALIGN=MIDDLE  ALT=\"4\"   DISABLED_style= \"max-width:90%; height:auto;\" >, centered in the origin.\r<BR>\n" );
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document.write( "b) \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+y%5E2+=+10 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+y%5E2+=+10\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=r%2Acos+%28theta+%29 ALIGN=MIDDLE  ALT=\"x=r%2Acos+%28theta+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=r%2Asin%28theta+%29 ALIGN=MIDDLE  ALT=\"y=r%2Asin%28theta+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28r%2Acos+%28theta+%29%29%5E2+%2B+%28r%2Asin%28theta+%29%29%5E2+=+10 ALIGN=MIDDLE  ALT=\"%28r%2Acos+%28theta+%29%29%5E2+%2B+%28r%2Asin%28theta+%29%29%5E2+=+10\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5E2%28cos%5E2+%28theta+%29+%2B+sin%5E2%28theta+%29%29+=+10 ALIGN=MIDDLE  ALT=\"r%5E2%28cos%5E2+%28theta+%29+%2B+sin%5E2%28theta+%29%29+=+10\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5E2%281%29+=+10 ALIGN=MIDDLE  ALT=\"r%5E2%281%29+=+10\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "the equation becomes simply \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5E2+=+10 ALIGN=MIDDLE  ALT=\"r%5E2+=+10\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "c) \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+3 ALIGN=MIDDLE  ALT=\"y+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=r%2Asin%28theta+%29 ALIGN=MIDDLE  ALT=\"y=r%2Asin%28theta+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%2Asin%28theta+%29=3 ALIGN=MIDDLE  ALT=\"r%2Asin%28theta+%29=3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "d) \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+-4x ALIGN=MIDDLE  ALT=\"y+=+-4x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%2Asin%28theta+%29=-4r%2Acos+%28theta+%29 ALIGN=MIDDLE  ALT=\"r%2Asin%28theta+%29=-4r%2Acos+%28theta+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%2Asin%28theta+%29%2B4r%2Acos+%28theta+%29=0 ALIGN=MIDDLE  ALT=\"r%2Asin%28theta+%29%2B4r%2Acos+%28theta+%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%28sin%28theta%29+%2B+4cos%28theta%29%29+=+0 ALIGN=MIDDLE  ALT=\"r%28sin%28theta%29+%2B+4cos%28theta%29%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "e) \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3xy+=+5 ALIGN=MIDDLE  ALT=\"3xy+=+5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3r%2Acos+%28theta+%29%2Ar%2Asin%28theta+%29=5 ALIGN=MIDDLE  ALT=\"3r%2Acos+%28theta+%29%2Ar%2Asin%28theta+%29=5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3r%5E2%2Acos+%28theta+%29%2Asin%28theta+%29=5 ALIGN=MIDDLE  ALT=\"3r%5E2%2Acos+%28theta+%29%2Asin%28theta+%29=5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );