Determine whether the following statements are true and give an explanation or counterexample. a. b. Assuming f'

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

a.|/ VI + f'(x)² dx (1 + f'(x)) dx.

b. Assuming f' is continuous on the interval [a, b], the length of the curve y = f(x) on [a, b] is the area under the curvey = V1 + f'(xr)? on [a, b].

c. Arc length may be negative if f(x) < 0 on part of the interval in question.

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

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

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