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Unformatted text preview: Exam 1, Recap M175001 Fall 2009 Name: (1 pt.) Total Points possible = 91 * 10/9, rounded off. 1. (10 pts setup, 5 pts computation.) The region shown at right is bounded by y = √ x + 2, y = x and the x axis. Compute its area. Show all work, including all work required for Type 1 Integration. 2. (10 pts.) The region shown at right is bounded by the x axis and y = 2 sin x , 0 ≤ x ≤ π . Form a solid by revolving it about the xaxis. All axes are measured in meters (m) and the solid has variable density: ρ = (10 x 2 ) kg/m 3 . Set up, but do not evaluate, an integral for the total mass of the solid. 3. (10 pts.) The region shown at right is bounded by the xaxis and y = 2 sin x , 0 ≤ x ≤ π . Form a solid by revolving it about the vertical axis x = a , where a is some number to the right of π on the xaxis. Set up, but do not evaluate, an integral for the total volume of the solid....
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This note was uploaded on 10/11/2011 for the course MATH 175 taught by Professor Staff during the Fall '08 term at Boise State.
 Fall '08
 STAFF
 Calculus

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