Exam3Prac - Math 604 Sample Questions from Chapter 5 1. Use...

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Math 604 – Sample Questions from Chapter 5 1. Use RRAM 4 to approximate the definite integral 3 + x 2 ( ) dx - 1 7 2. Express the limit of the Riemann sum as a definite integral lim || P || 0 1 1 + c k 2 k = 1 n Δ x k where P is a partition of [-3,2] 3. Evaluate the definite integral 25 - x 2 dx - 5 0 4. Suppose f and h are continuous functions and that f ( x ) dx - 3 5 = 8 , f ( x ) dx - 3 0 = - 2 , h ( x ) dx = 6 - 3 0 . Find the following a. f ( x ) 2 dx = - 3 5 b. h ( y ) dy = 0 - 3 c. [5 h ( x ) - 2 f ( x )] dx = - 3 0 d. f ( x ) dx 0 5 = 5. Draw a sketch of the region in the xy plane described by the definite integral: 3 - 3 x ( ) dx - 1 4 . a. Use geometry to evaluate the definite integral. Be sure to show your work. b. Use the F.T.C. part 2 to evaluate the definite integral. c. Are the answers to part a and b supposed to be equal? Are they? 6. State the definition of the average value of a function.
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7. Average Values a. Compute the average value of f ( x
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Exam3Prac - Math 604 Sample Questions from Chapter 5 1. Use...

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