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Math 1242 Final Exam
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MATH 1242 FINAL EXAM 14. The geometric series 2 + Spring, 2010 5 1 1 1 + + + ··· 2 8 32 (a) diverges. (b) converges to 2. (c) converges to3 . 2 (d) converges to8 . 3 (e) converges to8 . 5 15. The region in the first quadrant bounded by the curves y = x2 , y = 0, and x = 1 is rotated about the x-axis. The volume of the resulting solid is (a)π 5 (b)π 3 (c)π 2 (d) 2 (e) 1 3 16. The velocity, in meters per second, of a particle moving along a straight line is given by v(t) = sin t. Find the distance traveled by the particle for 0 ≤ t ≤ π/2. (a) 1 m (b) 2 m (c) π/2 m (d) π/4 m (e) 0 m
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