Math 126 Fall 2004

Math 126 Fall 2004 - MATH 126 FINAL EXAM December 15, 2004...

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MATH 126 FINAL EXAM December 15, 2004 Read the problems carefully and answer the questions asked. Write neatly and indicate clearly your answer to each problem. The backs of the sheets may be used for scratch paper or to continue your work on a problem. All problems count equally and you are to do all ten problems. You must show your work to obtain full credit. Points may be deducted if you do not justify your final answer. Calculators, notes, books, or collaboration with others are not allowed. If you have any questions about any of the problems ask the proctor, but no one else! 1 . Let R be the region in the first quadrant bounded by the curves y = x 3 and y = 2 x - x 2 . (i) Calculate the area of R . (ii) Calculate the volume of the solid obtained by rotating R about the y -axis. 2 . A circular swimming pool has a diameter of 36 ft and sides that are 6 ft high, and the depth of the water is 5 ft. Find the work required to pump the water out over the side. (Use the fact that water weighs 62.5 lb per cubic ft. You may leave your answer as a product.
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Math 126 Fall 2004 - MATH 126 FINAL EXAM December 15, 2004...

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