document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=976137>Question 976137</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A spherical weather balloon is being inflated. The radius of the balloon is increasing at the rate of 3 cm per second. Express the surface area of the balloon as a function of time t (in seconds). If needed you can enter  \pi  as pi. Recall surface area of a sphere is   4*pi*r^2 .\r<BR>\n" );
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document.write( "please give answer (last tutor did not) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #597798 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=597798\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=4pi%2Ar%5E2 ALIGN=MIDDLE  ALT=\"A=4pi%2Ar%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, your surface area formula, variable being r.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dA%2Fdt=4pi%2A2r%2A%28dr%2Fdt%29 ALIGN=MIDDLE  ALT=\"dA%2Fdt=4pi%2A2r%2A%28dr%2Fdt%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dA%2Fdt=8pi%2Ar%28dr%2Fdt%29 ALIGN=MIDDLE  ALT=\"dA%2Fdt=8pi%2Ar%28dr%2Fdt%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Chain Rule is used because radius r is a function of time, and using t for time variable.\r<BR>\n" );
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document.write( "Your example specifically specified, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dr%2Fdt=3 ALIGN=MIDDLE  ALT=\"dr%2Fdt=3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, in cm squared per second. </SPAN>\n" );
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