9. Let T be the triangle in the first quadrant with one

Chapter 6, Problem 49

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9. Let T be the triangle in the first quadrant with one vertex at (0.0) and the opposite side a, of length u. joining the other two vertices (a. b) and (c. d). where a > c > 0 and d > b > 0. Let A denote the area of I, _i the ,\'-coodinate of the centroid of f. p the perpendicular distance from (0. 0) to I, V the volume generated by revolving f around the,r-axis, and S the surface area generated by revolving Z around the -'\.-axis. Derive the foilowine formulas in the order listed. @) A=:kd-bc) (c) V = lrtt (b -l d)(ad - bc)

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