document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=127226>Question 127226</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write the following rule as a formula using function notation: Tuition cost in dollars is sixty-five times the number of credit hours.<BR>\n" );
document.write( "Write the following rule as a formula using function notation: Tuition cost in dollars is sixty-five times the number of credit hours.<BR>\n" );
document.write( "Thank you all, for your God given talent that helps us less fortunate.  <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #93208 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=93208\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The answer that I have come up with is: (e -1).2:<BR>\n" );
document.write( "The problem is what are the exact evaluation of, (integral sign), &#61682;2xe^(x^2) dx over the intervals (0, 1). I feel this is not correct, can you verify that for me please? \r<BR>\n" );
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document.write( "Answer: e^x^2 evaluated at 1 minus e^x^2 evaluated at 0<BR>\n" );
document.write( "= e-1<BR>\n" );
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document.write( "Also please, I have determined that In x is not the correct completion of the formula, (integral sign), &#61682;(1/x). Is that correct, or should I do more research on this subject? <BR>\n" );
document.write( "Answer: ln(x) + C because you want the indefinite integral, and C might<BR>\n" );
document.write( "always be part of the function that was differentiated to arrive at <BR>\n" );
document.write( "an answer of ln(x).<BR>\n" );
document.write( "Example: The derivative of f(x) = ln(x) +2 is the same as the derivative<BR>\n" );
document.write( "of f(x)= ln(x) + 5<BR>\n" );
document.write( "So when you integrate ln(x) you should write ln(x)+C to cover all the <BR>\n" );
document.write( "possible constants that might be part of the answer.<BR>\n" );
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document.write( "It's a different story when you take the definite integral from x=a to <BR>\n" );
document.write( "x=b because you subtract out the constant that may have been part of <BR>\n" );
document.write( "the function.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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