Let G(X) = X F(T)Dt 0 , Where F Is The Function Whose Graph Is Shown.

Let G(X) = X F(T)Dt 0 , Where F Is The Function Whose Graph Is Shown.

Let g(x) =

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x f(t)dt
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0

, where f is the function whose graph is shown.

Maple Generated Plot

(a) Evaluate g(0), g(5), g(10), g(15) and g(30).

g(0) =
g(5) =
g(10) =
g(15) =
g(30) =

(b) On what interval is g increasing?

(c) Where does g have a maximum value?
x =

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