document.write( "Question 1051165: the function is such the f'(x)=5-2x^2 and (3,5)is a point on the curve y=f(x).Find f(x) \n" ); document.write( "

Algebra.Com's Answer #666754 by Fombitz(32388) $\"\"$ $\"About$

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Integrating,
\n" ); document.write( " $\"f%28x%29=5x-%282%2F3%29x%5E3%2BC\"$
\n" ); document.write( "Using the point,
\n" ); document.write( " $\"5=5%283%29-%282%2F3%29%283%29%5E3%2BC\"$
\n" ); document.write( " $\"C=8\"$
\n" ); document.write( "So then,
\n" ); document.write( " $\"highlight%28f%28x%29=-%282%2F3%29x%5E3%2B5x%2B8%29\"$
\n" ); document.write( " \n" ); document.write( "

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