Practice Test 4a

Practice Test 4a - Practice Test IV A for Math 1501,...

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Practice Test IV A for Math 1501, Calculus I Problem 1: A two dimensional domain is bounded by the positive x -axis, the positive y axis and the curve x + y = a . a) Sketch this domain. b) Compute its center of mass. (assume that the mass density is uniform). c) Rotating this shape about the x = y axis yields a solid. Compute the volume of that solid. d) Rotating this shape about the x = - y axis yields another solid. Compute the volume of that solid. Problem 2: The great pyramid has a square base of about 250 m by 250 m. Its height is about 150 m . Suppose the stone used in its construction weighs 5000 kg per cubic meter. ( g =10 m/s 2 ). a) How much work was done to lift all the rock into place during its construction?
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Practice Test 4a - Practice Test IV A for Math 1501,...

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