The cross-sectional area of a beam cut from a log with radius 1 foot is given by
Question:
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).
(c) Create a TABLE with Tb1 Start = 0 and ÎTb1 = 0.1 for 0 ¤ x ¤ 1. Which value of x maximizes the cross- sectional area? What should be the length of the base of the beam to maximize the cross-sectional area?
4xV1 – x², 1 -. A(x) A(x) 3 4х /1 — х2 – x х
Step by Step Answer:
a Domain of we know that x must be greater than or ...View the full answer
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