document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=212725>Question 212725</A>: <I><SPAN STYLE=\"word-break: break-all;\"> slope of a tan line to a curve at P (3,3) is 4. Use the equation of this tanngent to find its value for x=9. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #160646 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=160646\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> slope of a tan line to a curve at P (3,3) is 4. Use the equation of this tangent to find its value for x=9.<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Find the equation of the tangent line:<BR>\n" );
document.write( "slope = 4<BR>\n" );
document.write( "Form = y = mx+b<BR>\n" );
document.write( "3 = 4*3+b<BR>\n" );
document.write( "b = -9<BR>\n" );
document.write( "Equation of the tangent: y = 4x-9<BR>\n" );
document.write( "This is the definite derivative of the function \"P\"<BR>\n" );
document.write( "at x = 3<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Integrate to get P:<BR>\n" );
document.write( "P(x) = 4(x^2/2) - 9x<BR>\n" );
document.write( "P(x) = 2x^2 -9x<BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "P(9) = 2(9^2)-9*9<BR>\n" );
document.write( "P(9) = 81<BR>\n" );
document.write( "=================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );