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\[ f(x)=8 x^{2}-64 x+500 \] (a) Take the first order condition and solve. (b) Use the second derivative to show whether the point you found is a maximum or a minimum. (c) Calculate the value of the function at the maximum or minimum you found. d) Sketch a graph of \( f(x) \) and mark out the maximum or minimum you found.

Introduction Considering the information as we have, Explanation a. Now we have the fir

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