Practice Test IVD for Calculus I, Math 1501 I: Consider the region Ω in the x – y plane that lies below the line y =1+ x and above the parabola y =( x-1) 2 . a) Compute the area of Ω. b) Compute the volume of the solid obtained by rotating Ω about the x – axis. c) Compute the volume of the solid obtained by rotating Ω about the y –axis. II A theater has a curtain that is 10 meters high, 20 meters wide, and has a mass density of 1 kg / m 2 . How much work is done in raising the curtain to the level of its top edge? (Use the approximate value g = 10m / s 2 .) III a) Consider the region in the positive quadrant of the
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