document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=175227>Question 175227</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A right triangle is formed in the 1st quadrant. It has vertices at A(0,0), B(0,y), and C(x,y). Point C is on the graph of the function f(x)=8+x-x^4. Write an equation to show how the triangle area varies with x and find the maximum area. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #130364 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=130364\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The area of the triangle is the base times the height divided by 2, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=xy%2F2 ALIGN=MIDDLE  ALT=\"xy%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so the Area function is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%28x%29=%288x+%2B+x%5E2+-+x%5E5%29%2F2 ALIGN=MIDDLE  ALT=\"A%28x%29=%288x+%2B+x%5E2+-+x%5E5%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  The first derivitive of the Area function: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dA%28x%29%2Fdx=8+%2B+2x+-+5x%5E4 ALIGN=MIDDLE  ALT=\"dA%28x%29%2Fdx=8+%2B+2x+-+5x%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" >, set equal to zero will yield the x coordinate of the extreme point.   </SPAN>\n" );
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