Question: Consider the function f(x) = ax(28 - x) on the interval [0,28], where a is a positive real number. a. Find the average value of

Consider the function f(x) = ax(28 - x) on the interval [0,28], where a is a positive real number. a. Find the average value of f as a function of a. b. Find the points at which the value of f equals its average value, and prove that they are independent of a. . . . a. The average value of f as a function of a is f =. (Type an exact answer.)

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