Concept explainers
Explain why or why not Determine whether the following statements are true and give an explanation or counterexample.
a. Suppose f is a positive decreasing function, for x > 0. Then the area function
b. Suppose f is a negative increasing function, for x > 0. Then the area function
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.
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