SOLUTION: The cross-sectional area of a beam cut from a log with radius 1 foot is given by the function A(x) = 4x•sqrt{1 - x^2} where x represents the length,in feet, of half the base of t

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Question 1208031: The cross-sectional area of a beam cut from a log with radius 1 foot is given by the function A(x) = 4x•sqrt{1 - x^2} where x represents the length,in feet, of half the base of the beam. Determine the cross-sectional area of the beam if the length of half the base of the beam is One-third of a foot


Answer by mananth(16946) About Me  (Show Source):
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The cross-sectional area of a beam cut from a log with radius 1 foot is given by the function A(x) = 4x•sqrt{1 - x^2} where x represents the length,in feet, of half the base of the beam. Determine the cross-sectional area of the beam if the length of half the base of the beam is One-third of a foot
The cross-sectional area of a beam cut from a log with radius 1 foot is given by the function

A%28x%29+=+4x%2Asqrt%281+-+x%5E2%29
the length of half the base of the beam is One-third of a foot

A%28x%29+=+4%2A%281%2F3%29%2Asqrt%281+-+%281%2F3%29%5E2%29

A%28x%29+=+%284%2F3%29%2Asqrt%281+-+%281%2F9%29%29

A%28x%29+=+%284%2F3%29%2Asqrt%288%2F9%29%29

A%28x%29+=+4%2Asqrt%288%29%2F9

A%28x%29+=+%288%2Asqrt%282%29%2F9%29

the cross-sectional area of the beam when the length of half the base is (1/3) is +%288%2Asqrt%282%29%2F9%29 ft^2