) 7 Below is a plot of the graph of some function f(x) over the interval [0 15] Define A(x) = R x 0 f(t) dt

Question

) 7. Below is a plot of the graph of some function f(x) over the interval [0, 15]. Define A(x) = R x 0 f(t) dt.

Answer the following questions about A(x), based on the graph of f(x). (a) (2 pts) What is A(7)?

(b) (2 pts) What is A(15)?

(c) (3 pts) What is A0 (11), the derivative of A(x) at x = 11? Explain your answer briefly. (d) (3 pts) Where does A(x) take its maximum value on [0, 15], and what is this maximum value?

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