Let x be the length (in in.) of the side of the square at each corner. x = in. (Round your answers to two decimal places, if necessary.). Complete the following parts. (a) Give a function f in the variable x for the quantity to be optimized. f (x) = (b) State the domain of this function. (Enter your answer using interval notation.)
This average is given by: f(x)0.00000093x^2-0.0145x+60. Find the minimum average cost per copy and the corresponding number of copies made.
Since f(π) = π^2 < 100, f(10π) = 100π^2 > 100, and f is continuous on the closed interval [π, 10π], the intermediate value theorem ensures the existence of a number c in (π, 10π) such that f(c) = 100.
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