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problem15_pdf

# problem15_pdf - cannon(kgc299 HW15 berg(54595 This...

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cannon (kgc299) – HW15 – berg – (54595) 1 This print-out should have 17 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0points The graph of a function f is shown in 2 4 6 8 10 2 4 6 8 Compute the Riemann sum 10 summationdisplay i =1 f ( x i ) Δ x when [0 , 10] is subdivided into ten equal subintervals [ x i 1 , x i ] and x 1 = x 1 , x 2 = x 2 , . . . , x 10 = x 10 . 1. Riemann sum = 56 2. Riemann sum = 57 3. Riemann sum = 53 4. Riemann sum = 54 5. Riemann sum = 55 002 10.0points Below is the graph of a function f . 2 4 6 8 10 12 2 4 6 8 - 2 - 4 - 6 Estimate the definite integral I = integraldisplay 12 0 f ( x ) dx with six equal subintervals using midpoints. 1. I 22 2. I 20 3. I 16 4. I 14 5. I 18 003 10.0points Determine the definite integral I to which the Riemann sum n summationdisplay k =1 parenleftbigg 5 + k n parenrightbigg 2 parenleftbigg 3 n parenrightbigg converges as n → ∞ .

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