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Mathematics, 04.02.2020 00:56 ddddre3909

Arectangular beam is cut from a cylindrical log of radius 25 cm. a cross-section of the log is shown below. the strength, s, of a beam of width w and height h is proportional to wh2.

(a) express the strength of the beam as a function of w only. use k as the proportionality constant.
s(w) =

(b) find the exact width and height of the beam of maximum strength.
width =
height =

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