The cross-sectional area of a beam cut from a log with radius 1 foot is given by the function a(x) = 4x√1 - x², where x represents the length, in feet, of half the base of the beam. See the figure. Determine the cross-sectional area of the beam if the length of half the base of the beam is as follows:

(a) One-third of a foot

(b) One-half of a foot

(c) Two-thirds of a foot

Transcribed Image Text:

A(x) = 4x V1 - – x2 Э)