document.write( "Question 1026683: f''x=3x^2-5 sin x+2e^x, f'(0)=10 and f(0)=0 what is f(x)? \n" ); document.write( "

Algebra.Com's Answer #642033 by robertb(5830) $\"\"$ $\"About$

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f\"(x) = $\"3x%5E2-5sinx%2B2e%5Ex\"$ \r
\n" ); document.write( "\n" ); document.write( "==> f'(x) = $\"x%5E3%2B5cosx%2B2e%5Ex%2Bc\"$ for some constant c.\r
\n" ); document.write( "\n" ); document.write( "f'(0) = 10 ==> $\"10+=+0%5E3%2B5cos0%2B2e%5E0%2Bc\"$ ==> c = 3.\r
\n" ); document.write( "\n" ); document.write( "==> f'(x) = $\"x%5E3%2B5cosx%2B2e%5Ex%2B3\"$ \r
\n" ); document.write( "\n" ); document.write( "==> $\"f%28x%29+=+x%5E4%2F4+%2B+5sinx+%2B+2e%5Ex+%2B+3x+%2B+k\"$ for some constant k.
\n" ); document.write( "f(0) = 0 ==> $\"f%280%29+=+0%5E4%2F4+%2B+5sin0+%2B+2e%5E0+%2B+3%2A0+%2B+k+=+0\"$ ==> k = -2.\r
\n" ); document.write( "\n" ); document.write( " $\"highlight%28f%28x%29+=+x%5E4%2F4+%2B+5sinx+%2B+2e%5Ex+%2B+3x+-+2%29\"$ \n" ); document.write( "

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