document.write( "Question 909276: Find the area of the triangle formed by x and y axis and the tangent line to \r
\n" ); document.write( "\n" ); document.write( "\"+f%28x%29+=+1%2Fx%5E2+\" at points ( 3, f(3) )
\n" ); document.write( "

Algebra.Com's Answer #551746 by josgarithmetic(39617)\"\" \"About 
You can put this solution on YOUR website!
\"df%2Fdx=%28d%2Fdx%29%28x%5E-2%29\"
\n" ); document.write( "\"df%2Fdx=-2x%5E-3\"
\n" ); document.write( "-
\n" ); document.write( "\"df%2Fdx\" at 3 is \"-2%2A%283%29%5E-3=-2%2F27\".
\n" ); document.write( "Line containing that slope and (3,f(3)) is \"y-f%283%29=-%282%2F27%29%28x-3%29\"
\n" ); document.write( "\"y-%281%2F9%29=-%282%2F27%29%28x-3%29\"
\n" ); document.write( "\"y-1%2F9=-%282%2F27%29x%2B2%2F9\"
\n" ); document.write( "\"y=-%282%2F27%29x%2B1%2F3\"------One point is obviously (0, 1/3) and another would be (0,0).\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Use the linear equation to find the x-axis intercept (when y=0).\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"0=-%282%2F27%29x%2B1%2F3\"
\n" ); document.write( "\"%282%2F27%29x=1%2F3\"
\n" ); document.write( "\"x=%2827%2F2%29%281%2F3%29\"
\n" ); document.write( "\"x=9%2F2\"-------The point being, ( 9/2, 0 ).\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "SUMMARY:
\n" ); document.write( "The triangle's points are ( 0,0 ), ( 9/2, 0 ), and ( 0, 1/3 ).
\n" ); document.write( "Finish the area calculation.
\n" ); document.write( "
\n" );