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Unformatted text preview: x b. f(x ) = 1/ x c. f ( x ) = x n , n ≠1 Example 1 (4.9) ANTIDERIVATIVES Find all functions g such that Example 2 (4.9) 5 2 '( ) 4sin x x g x x x= + Find f if f’ ( x ) = e x + 20(1 + x 2 )1 and f (0) = – 2 Example 3 (4.9) DIFFERENTIAL EQUATIONS Find f if f’’ ( x ) = 12 x 2 + 6 x – 4, f (0) = 4, and f (1) = 1. Example 4 (4.9) DIFFERENTIAL EQUATIONS The graph of a function f is given. Make a rough sketch of an antiderivative F , given that F (0) = 2. Example 5 (4.9) GRAPH...
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 Fall '08
 Noohi
 Differential Equations, Calculus, Derivative, physicist, certain time period

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