Practice 4.PDF

# Practice 4.PDF - Exam Name MULTIPLE CHOICE Choose the one...

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Exam Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the quest Use a finite approximation to estimate the area under the graph of the given function on the stated inter 1) f(x) = x 2 between x = 0 and x = 3 using a lower sum with two rectangles of equal width. 1) A) 12.5 B)16.875 C)8.4375 D) 3.375 2) f(x) = x 2 between x = 0 and x = 2 using an upper sum with two rectangles of equal width. 2) 3) f(x) = x 2 between x = 0 and x = 1 using the "midpoint rule" with two rectangles of equal width. 3) Write the sum without sigma notation and evaluate it. 4) 2 k = 1 6k k + 13 4) 5) 3 k = 1 ( - 1) k (k - 2) 2 5) A) (1 - 2) 2 - (3 - 2) 2 = - 2 B) - (1 - 2) 2 + (2 - 2) 2 - (3 - 2) 2 = - 2 C) - (1 - 2) 2 + (2 - 2) 2 - (3 - 2) 2 = 2 D) - (1 - 2) 2 - 2(2 - 2) 2 - 3(3 - 2) 2 = - 4 6) 4 k = 1 k 2 8 6) 1

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7) 4 k = 1 2 sin k 7) Find the value of the specified finite sum. 8) Given n k = 1 a k = - 6, find n k = 1 10 a k . 8) A) 60 B) - 60 C)1 D) - 1 9) Given n k = 1 a k = - 2 and n k = 1 b k = 7, find n k = 1 a k - b k . 9) 2
Graph the function f(x) over the given interval. Partition the interval into 4 subintervals of equal length. your sketch the rectangles associated with the Riemann sum 4 k = 1 f(c k ) x k , using the indicated point in the kth subinterval for c k .

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