Answer: Cross-sectional Area The cross-sectional area of a

Chapter , Problem 3.2.32

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Cross-sectional Area The cross-sectional area of a beam cut from a log with radius 1 foot is given by the function A(x) = 4x, where x represents the length, in feet, of half the base of the beam. See the figure. (a) Find the domain of A. / (b) Use a graphing utility to graph the function A = A(x). !Jill (c) Create a TABLE with TblStart = 0 and 11 Tbl = 0.1 for o ::; x ::; 1. Which value of x maximizes the crosssectional area? What should be the length of the base of the beam to maximize the cross-sectional area?

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