document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=61773>Question 61773</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Evaluate:<BR>\n" );
document.write( " 7 <BR>\n" );
document.write( "     (8x2 + 8x - 18) dx <BR>\n" );
document.write( "-4   <BR>\n" );
document.write( "(2 decimal places)\r<BR>\n" );
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document.write( "Evaluate:<BR>\n" );
document.write( " 8 <BR>\n" );
document.write( "     (9x2 - 4x - 31) dx <BR>\n" );
document.write( "1   <BR>\n" );
document.write( "(2 decimal places)\r<BR>\n" );
document.write( "\n" );
document.write( "The marginal cost function for producing x units of a certain product is given by:<BR>\n" );
document.write( "C'(x) = 2 + 0.08x\r<BR>\n" );
document.write( "\n" );
document.write( "Find the total cost incurred by increasing the production level from 900 to 500 units. (2 decimal places)\r<BR>\n" );
document.write( "\n" );
document.write( "Find the average value of the function<BR>\n" );
document.write( "f(x) = 4x3 - 6x over the interval [-4,9].\r<BR>\n" );
document.write( "\n" );
document.write( "Evaluate:<BR>\n" );
document.write( " 7 <BR>\n" );
document.write( "     (7x - 5)4 dx <BR>\n" );
document.write( "-3   <BR>\n" );
document.write( "(2 decimal places) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #42525 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=42525\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Evaluate:<BR>\n" );
document.write( "7 <BR>\n" );
document.write( "(8x^2 + 8x - 18) dx <BR>\n" );
document.write( "-4 <BR>\n" );
document.write( "(2 decimal places) <BR>\n" );
document.write( "Evaluate:\r<BR>\n" );
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document.write( "F(x)=[(8/3)x^3+4x^2-18x] evaluated between x=-4 and x=7<BR>\n" );
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document.write( "Comment: f(x) has zeroes at x=-2.08 and x=1.08<BR>\n" );
document.write( "Evaluating F(x) between x=-4 and x=7 involves three definate<BR>\n" );
document.write( "integrals:<BR>\n" );
document.write( "Int from -4 to 7 = int from -4 to -2.08 minus int from x=-2.08<BR>\n" );
document.write( "to x=1.08 plus Int x=1.08 to x=7<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "This is a mess to evaluate so I'll leave it you.<BR>\n" );
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document.write( "Here is some of the arithmetic.<BR>\n" );
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document.write( "F(7)=(8/3)(7^3)+4(7^2)-18(7)<BR>\n" );
document.write( "=179148.67<BR>\n" );
document.write( "---------<BR>\n" );
document.write( "F(-4)=(8/3)(-4)^3+4(-4)^2-18(-4)<BR>\n" );
document.write( "=-10850.67<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
document.write( "\n" );
document.write( "8 <BR>\n" );
document.write( "(9x2 - 4x - 31) dx <BR>\n" );
document.write( "1 <BR>\n" );
document.write( "(2 decimal places) <BR>\n" );
document.write( "The marginal cost function for producing x units of a certain product is given by:<BR>\n" );
document.write( "C'(x) = 2 + 0.08x <BR>\n" );
document.write( "Find the total cost incurred by increasing the production level from 900 to 500 units. (2 decimal places) <BR>\n" );
document.write( "Find the average value of the function<BR>\n" );
document.write( "f(x) = 4x3 - 6x over the interval [-4,9]. <BR>\n" );
document.write( "Evaluate:<BR>\n" );
document.write( "7 <BR>\n" );
document.write( "(7x - 5)4 dx <BR>\n" );
document.write( "-3 <BR>\n" );
document.write( "(2 decimal places)<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );