Question: Consider the functionf(x)=42x^2on the interval[4,8]. (A) Find the average or mean slope of the function on this interval, i.e. f(8)f(4)/8(4)= (B) By the Mean Value

Consider the functionf(x)=42x^2on the interval[4,8].

(A) Find the average or mean slope of the function on this interval, i.e.

f(8)f(4)/8(4)=

(B) By the Mean Value Theorem, we know there exists acin the open interval(4,8) such thatf(c)is equal to this mean slope. For this problem, there is only one cthat works. Find it.

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