UFCalcSet32 - Exercises UF Calculus Set 32 1. The graph of...

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Exercises UF Calculus Set 32 1. The graph of a function f ( x ) is given below. Estimate the integral over the interval [ - 4 , 8] using a Riemann sum as directed. Assume each rectangle height is a multiple of 0.5. (a) . ..using 4 subintervals of equal width and right endpoints as sample points. (b) . ..using 12 subintervals of equal width and right endpoints as sample points. (c) . ..using 6 subintervals of equal width and midpoints as sample points. 2. In each case, write the integral of the region as the limit of a Riemann Sum with intervals of equal width and right endpoints as sample points. (a) Z 2 0 3 1 + 2 x d x (b) Z 2 1 p 1 + x 2 d x (c) Z 3 0 x 3 - 5 x d x 3. For the integrals in Exercise 2, approximate the value of each, using a Riemann Sum as di- rected. (a) For the integral in part (a), use 4 equally spaced subintervals and left endpoints as sam- ple points. (b) For the integral in part (b), use 4 equally spaced subintervals and midpoints. (Round the answer to the nearest thousandth.) (c) For the integral in part (c), use 6 equally spaced subintervals and midpoints as sample
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This note was uploaded on 05/17/2011 for the course MAC 2311 taught by Professor All during the Spring '08 term at University of Florida.

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UFCalcSet32 - Exercises UF Calculus Set 32 1. The graph of...

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