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winter 08 math9b-010 practice midterm 2 09.11.08

# winter 08 math9b-010 practice midterm 2 09.11.08 - Exam...

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Exam Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Write the sum without sigma notation and evaluate it. 1) 3 k = 1 (-1) k (k - 4) 2 A) (1 - 4) 2 - (3 - 4) 2 = -10 B) -(1 - 4) 2 + (2 - 4) 2 - (3 - 4) 2 = -6 C) -(1 - 4) 2 -2(2 - 4) 2 -3(3 - 4) 2 = -20 D) -(1 - 4) 2 + (2 - 4) 2 - (3 - 4) 2 = 6 1) Graph the function f(x) over the given interval. Partition the interval into 4 subintervals of equal length. Then add to your sketch the rectangles associated with the Riemann sum 4 k=1 f(c k ) D x k , using the indicated point in the kth subinterval for c k . 2) f(x) = 2x + 3, [0, 2], left-hand endpoint x 0.5 1 1.5 2 y 8 7 6 5 4 3 2 1 A) x 0.5 1 1.5 2 y 8 7 6 5 4 3 2 1 B) x 0.5 1 1.5 2 y 8 7 6 5 4 3 2 1 C) x 0.5 1 1.5 2 y 8 7 6 5 4 3 2 1 D) x 0.5 1 1.5 2 y 8 7 6 5 4 3 2 1 2) 1

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Express the limit as a definite integral where P is a partition of the given interval. 3) lim P ¬0 n k = 1 (3 c 2 k - 9c k + 7) x k , [-2, 3] (3x - 9) dx (3x 2 - 9x + 7) dx (6x - 9) dx (3x 2 - 9x + 7) dx 3) Solve the problem. 4) Suppose that 4 2 f(x) dx = 3. Find 6 6 f(x) dx and 2 4 f(x) dx . 4) Graph the integrand and use areas to evaluate the integral.
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