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Precious W.

asked • 12d

Consider the function f(x)=7-4x2 on the interval [-2,7].

Consider the function f(x)=7-4x2 on the interval [-2,7].

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

(f(7)+f(-2))/(7-(-2))=


(B) By the Mean Value Theorem, we know there exists a  in the open interval (-2,7) such that f'(c) is equal to this mean slope. For this problem, there is only one c that works. Find it.

 c= 

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