document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1180307>Question 1180307</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the tangent to each curve at the point where t = 3:<BR>\n" );
document.write( "x = 5(t)^2, y = 10t\r<BR>\n" );
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document.write( "answer is y = (1/3)x + 15 </SPAN>\n" );
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document.write( "The point of tangency is (x(3),y(3)) = (45,30)<br><BR>\n" );
document.write( "The slope of the tangent is the derivative of the curve at t=3.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dy%2Fdx=%28dy%2Fdt%29%2F%28dx%2Fdt%29+=+%2810%29%2F%2810t%29+=+1%2Ft ALIGN=MIDDLE  ALT=\"dy%2Fdx=%28dy%2Fdt%29%2F%28dx%2Fdt%29+=+%2810%29%2F%2810t%29+=+1%2Ft\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "So at t=3 the slope is 1/3.<br><BR>\n" );
document.write( "Use basic algebra with a slope of 1/3 and a point (45,30) to confirm the correctness of the answer you show.<br><BR>\n" );
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