document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1076372>Question 1076372</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose the spread of an oil leak from a tanker can be approximated by a circle with the tanker at its center and radius r, in feet. The radius of the spill t hours after the beginning of the leak is given by <BR>\n" );
document.write( "r(t) = 48t.<BR>\n" );
document.write( "(a) Find the area of the spill as a function of time.<BR>\n" );
document.write( "A(t) = ........\r<BR>\n" );
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document.write( "(b) What is the area of the spill after 8 h? Round to the nearest whole number.<BR>\n" );
document.write( "............ ft2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #691004 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=691004\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "The area of a circle is given by <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large A\ =\ \pi r^2\">\r<BR>\n" );
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document.write( "Since your radius is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 48(t)\">, your area must be\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \  A\ =\ \pi\left(48t\right)^2\">\r<BR>\n" );
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document.write( "You can simplify as required.\r<BR>\n" );
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document.write( "To find the area at 8 hours, erase the <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large t\"> and replace it with an 8.  Then do the indicated arithmetic.  Since the radius was given in feet and during the calculation of the Area you squared the radius, the answer must be expressed in square feet.  Your answer should be more than 450,000 square feet and less than 500,000 square feet.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \\r\"> </SPAN>\n" );
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