document.write( "Question 997555: As part of an exercise how would one get the reverse (antiderivative) of \"e%5E%28x%2F9%29\" and the reverse of \"+e%5E%282x%29+\"\r
\n" ); document.write( "\n" ); document.write( "The last one I was just curious about.
\n" ); document.write( "My problem states to determine the functions with these conditions.\r
\n" ); document.write( "\n" ); document.write( "f'(x) = e^(x/9)
\n" ); document.write( "f(0)=19
\n" ); document.write( "f(x)=Ae^(bx)+c\r
\n" ); document.write( "\n" ); document.write( "My teacher said we cannot use integrals to solve. I am unsure what this question is asking me to do exactly.\r
\n" ); document.write( "\n" ); document.write( "Please help
\n" ); document.write( "Thank you
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Algebra.Com's Answer #615589 by Alan3354(69443)\"\" \"About 
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As part of an exercise how would one get the reverse (antiderivative) of \"e%5E%28x%2F9%29\" and the reverse of \"+e%5E%282x%29+\"
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\n" ); document.write( "(d/dx)9e^(x/9) + C = e^(x/9)
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\n" ); document.write( "\"+e%5E%282x%29+\" --> \"e%5E%282x%29%2F2+%2B+C\"
\n" ); document.write( "-------------
\n" ); document.write( "The last one I was just curious about.
\n" ); document.write( "My problem states to determine the functions with these conditions.\r
\n" ); document.write( "\n" ); document.write( "f'(x) = e^(x/9)
\n" ); document.write( "f(0)=19
\n" ); document.write( "f(x)=Ae^(bx)+c
\n" ); document.write( "---
\n" ); document.write( "f(0) = e^(0)*9 + C = 19
\n" ); document.write( "C = 10
\n" ); document.write( "--> f(x) = 9e^(x/9) + 10
\n" ); document.write( "----------------\r
\n" ); document.write( "\n" ); document.write( "My teacher said we cannot use integrals to solve. I am unsure what this question is asking me to do exactly.
\n" ); document.write( "----
\n" ); document.write( "The anti-derivative is the integral. Not sure what that means about not using integrals.\r
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