Practice Test 4c - Practice Test IV C for Math 1501,...

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Practice Test IV C for Math 1501, Calculus I Problem 1: Let Ω be the region in the x, y plane bounded by: y = x 4 y =4 x 2 (a) Find the area of this region. (b) Find the centroid of this region. (c) Find the volume of the body produced by rotating this region about the line x =0 . (d) Find the volume of the body produced by rotating this region about the line x =3 . Problem 2: a) A flagpole that is 10 m long, that has a uniform mass density of 1 kg/m is initially lying down and is stood up on its end. How much work is done? b) Now suppose that the flagpole is tapered with a mass density ρ ( x )=2 - x 10 kg / m , where x is the distance from the base. How much work is done in raising the flagpole this time?
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This note was uploaded on 02/07/2011 for the course MATH 1501 taught by Professor N/a during the Fall '08 term at Georgia Institute of Technology.

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