HW_4_9_mod

HW_4_9_mod - G ( x ) = for x 7) Find the most general...

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Student Name: Sections 4.9 (Due: Thursday, 11/08) Description : This homework will help you understand antiderivatives with and without initial conditions. Show all work to get full credit. 1) Find the most general antiderivative of the function. Use C for any needed constant. f ( x ) = 0.5 x 2 + 2 x + 3 F ( x ) = 2) Find the most general antiderivative of the function. Use C for any needed constant. f ( x ) = ( x + 1 )( 2 x + 3 ) F ( x ) = 3) Find the most general antiderivative of the function. Use C for any needed constant. f ( x ) = 2 x 1/8 - 6 x 7/8 F ( x ) = 4) Find the most general antiderivative of the function. (Check your answer by differentiation.) F ( x ) = 5) Find the most general antiderivative of the function. Use C for any needed constant. F ( x ) = 6) Find the most general antiderivative of the function. (Check your answer by differentiation.)
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Unformatted text preview: G ( x ) = for x 7) Find the most general antiderivative of the function. Use C for any needed constant. f ( x ) = 5 e x + 3 sec 2 ( x ) F ( x ) = 8) Find the most general antiderivative of the function. Use C for any needed constant. g ( ) = cos( ) - 9 sin( ) G ( ) = 9) Find the most general f . Use C for the constant of the first antiderivative and D for the constant of the second antiderivative. f ''( x ) = 30 x + 12 x 2 f ( x ) = 10) Find the most general f . Use C for the constant of the first antiderivative and D for the constant of the second antiderivative. f ''( x ) = 2 x + sin( x ) f ( x ) = 11) Find f . Student Name: f '( t ) = 4 cos( t ) + sec 2 ( t ) f ( t ) = 12) Find f . f ''( x ) = x-2 x > 0 f (1) = 0 f ( 8 ) = 0 f ( x ) =...
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HW_4_9_mod - G ( x ) = for x 7) Find the most general...

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