2423test1_05

# 2423test1_05 - x y = 0 and y = x 2 3 x 4 IV(20 pts Find the...

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NAME: 1 Math 2423, Test I September 28, 2005 Show all your work to receive full credit. The use of books and notes is not allowed. Good luck! I. (20 pts) Approximate R 5 1 x - 1 x +1 dx with the Riemann sum R 4 with 4 terms, taking the sample points to be the right endpoints.

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2 II. (20 pts) Find the following deﬁnite and indeﬁnite integrals a) R u - 2 u 2 u du b) R y 3 p 2 y 4 - 1 dy c) R x 2 1 - x dx d) R 3 1 dt ( t - 4) 2
3 III. (20 pts) Find the area of the region bounded by the curves

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Unformatted text preview: x + y = 0 and y = x 2 +3 x . 4 IV. (20 pts) Find the volume of the solid obtained by rotating the region bounded by y = √ x-1, x = 5 and y = 0 about the line x =-1. 5 V. (20 pts) A cable, 1 ft of which weighs 2 lb , is used to lift 800 lb of coal up a mine shaft 500 ft deep. Find the work done....
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2423test1_05 - x y = 0 and y = x 2 3 x 4 IV(20 pts Find the...

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