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For the function ƒ(x) = -x^2 + 4x + 1 , (a) Calculate the average rate...

For the function ƒ(x) = -x^2 + 4x + 1 ,

(a) Calculate the average rate of change of the function at x=3, where h=0.01.

(b) Show graphically your solution to part (a), including the function and the secant line.

(c) Calculate the instantaneous rate of change of the function at x=3, using limits

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