document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=972202>Question 972202</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Graph each equation. Identify the conic section and describe the graph and its line of symmetry. Then find the range and domain.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2%2By%5E2=36 ALIGN=MIDDLE  ALT=\"2x%5E2%2By%5E2=36\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Please explain step by step on how you got the answer. I really need help with conics!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #594572 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=594572\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Graph each equation. Identify the conic section and describe the graph and its line of symmetry. Then find the range and domain.<BR>\n" );
document.write( "2x^2+y^2=36} <BR>\n" );
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document.write( "Please explain step by step on how you got the answer. I really need help with conics!!<BR>\n" );
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document.write( "You have to recognize the standard forms for<BR>\n" );
document.write( "the different conics.<BR>\n" );
document.write( "General Form:: ax^2 + by^2 = 1<BR>\n" );
document.write( "If a and b are equal and positive you have a circle<BR>\n" );
document.write( "If a and b are unequal and positive you have an ellipse<BR>\n" );
document.write( "If a and b have opposite signs you have a hyperbola<BR>\n" );
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document.write( "Your Problem<BR>\n" );
document.write( "Divide thru by 36 to get:<BR>\n" );
document.write( "x^2/18 + y^2/36 = 1<BR>\n" );
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document.write( "a and b are unequal and positive<BR>\n" );
document.write( "You have an ellipse<BR>\n" );
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document.write( "Domain... ?<BR>\n" );
document.write( "y^2 = 36-2x^2<BR>\n" );
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document.write( "y = +/-sqrt[36-2x^2]<BR>\n" );
document.write( "Since 36-2x^2 must not be negative,<BR>\n" );
document.write( "So, 2x^2 <= 36<BR>\n" );
document.write( "x^2 <= 18<BR>\n" );
document.write( "-3sqrt(2)<= x <=3sqrt(2)<BR>\n" );
document.write( "That is the Domain<BR>\n" );
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document.write( "Range... ?<BR>\n" );
document.write( "2x^2 = 36-y^2<BR>\n" );
document.write( "x^2 = 18-y^2/2<BR>\n" );
document.write( "x = +-sqrt[18-y^2/2]<BR>\n" );
document.write( "18-y^2/2 >= 0<BR>\n" );
document.write( "y^2 <= 36<BR>\n" );
document.write( "-6<= y <=6<BR>\n" );
document.write( "That is the Range<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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