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Unformatted text preview: What are the other terms? (NOTE: Do not solve for the coeFcients A etc.) continues . . . Mathematics 1014 Practise Test Page 3 Sept. 27, 2010 3. [10] Use a trigonometric substitution to evaluate i dx x 2 √ 1 + x 2 . continues . . . Mathematics 1014 Practise Test Page 4 Sept. 27, 2010 4. [15] The region bounded by the curves y = x 3 and y = 3 √ x is rotated about the line y =1. Find the volume of the resulting solid. continues . . . Mathematics 1014 Practise Test Page 5 Sept. 27, 2010 5. [15] An aquarium is 3 meters long, 1 meter wide, and 1 meter deep. It is half full of water. I want to pump the water out of the aquarium by pumping it up to the top and out. How much work is needed? Express your answer as an integral, but do not evaluate the integral. (Use the facts that the density of water is 1000 kg/m3, and the acceleration of gravity is 9.8 m/sec2.) The End...
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 Fall '10
 Dr.M
 Calculus, 1000 kg, 3 meters, 1 meter

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