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13 Nov 2019
Page 4 of8 SP 2017 Math 1151 Midterm 3 Form 3. (16 pts) The function g is continuous and piecewise linear on [0, 8]. The graph of g is shown below y=g(x) (a) Illustrate the right Riemann sum of g on [0,8] for n 4 by sketching appropriate rectangles on the figure above (b) Compute the right Riemann sum of g on [0, 8] for n 4. Show your work (c) Use geometry to evaluate the integral g(x) dx. Show your work (d) Using your answer to part (c), evaluate the limit of Riemann sums on [0,8]. Show your work! ã«1 (e) Find , the average value of g on [0,8]. You may use your answer to part (c)
Page 4 of8 SP 2017 Math 1151 Midterm 3 Form 3. (16 pts) The function g is continuous and piecewise linear on [0, 8]. The graph of g is shown below y=g(x) (a) Illustrate the right Riemann sum of g on [0,8] for n 4 by sketching appropriate rectangles on the figure above (b) Compute the right Riemann sum of g on [0, 8] for n 4. Show your work (c) Use geometry to evaluate the integral g(x) dx. Show your work (d) Using your answer to part (c), evaluate the limit of Riemann sums on [0,8]. Show your work! ã«1 (e) Find , the average value of g on [0,8]. You may use your answer to part (c)
Collen VonLv2
10 Oct 2019