Chap4_Sec9

Chap4_Sec9 - x b. f(x ) = 1/ x c. f ( x ) = x n , n -1...

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A physicist who knows the velocity of a particle might wish to know its position at a given time. An engineer who can measure the variable rate at which water is leaking from a tank wants to know the amount leaked over a certain time period. A biologist who knows the rate at which a bacteria population is increasing might want to deduce what the size of the population will be at some future time. INTRODUCTION to ANTIDERIVATIVE
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ANTIDERIVATIVES Find the most general antiderivative of each function. a. f ( x ) = sin
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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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This note was uploaded on 05/23/2011 for the course MAC 2311 taught by Professor Noohi during the Fall '08 term at FSU.

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Chap4_Sec9 - x b. f(x ) = 1/ x c. f ( x ) = x n , n -1...

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