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

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

a. Suppose that f is a positive decreasing function, for x > 0. Then the area function= SF(1) di A(x) is an increasing function of x.

b. Suppose that f is a negative increasing function, for x > 0. Then the area functionA(x) = S°F(t) di - Söf(t) dt is a decreasing function of x.

c. The functions p(x) = sin 3x and q(x) = 4 sin 3x are antiderivatives of the same function.

d. If A(x) = 3x2 - x - 3 is an area function for f, then B(x) = 3x2 - x is also an area function for f.

e. 

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

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

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