Determine whether the following statements are true and give an explanation or counterexample. a. If f is

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Determine whether the following statements are true and give an explanation or counterexample.

a. If f is a constant function on the interval [a, b], then the right and left Riemann sums give the exact value ofif(x) dx. for any positive integer n.

b. If f is a linear function on the interval [a, b], then a midpoint Riemann sum gives the exact value ofSaF(x) dx. for any positive integer n.

c. Graph the functions and use properties of trigonometric functions.

d. ifdx, then f is a constant function. 

e. Property 4 of Table 5.4 implies that


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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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