Question: Consider the function f(x) = x 2 - 4x. a. Graph f on the interval x 0. b. For what value of b >

Consider the function f(x) = x2 - 4x.

a. Graph f on the interval x ≥ 0.

b. For what value of b > 0 isSf(x) dx 0?

c. In general, for the function f(x) = x2 - ax, where a > 0, for what value of b > 0 (as a function of a) isJoF(x) dx = 0?

Sf(x) dx 0? JoF(x) dx = 0?

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