Consider the graph of y = cos() on the interval [0, 7], as shown below. (You...
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Consider the graph of y = cos() on the interval [0, 7], as shown below. (You can and should use a calculator on this problem.) -1.5 -0.5 0 114 11/2 3/4 (a) Estimate the area under the curve over the interval [0, 7] using a right Riemann sum and n = 4 equal subdivisions. Is you answer an overestimate or an underestimate? (b) Estimate the area under the curve over the interval [0, ] using a left Riemann sum and n = 4 equal subdivisions. Is you answer an overestimate or an underestimate? (c) Approximate the area of R using a midpoint Riemann sum with n = 7 rectangles. 2. (5 points each) Let R be the region bounded by the function y = r, the x-axis, and the lines x = 1 and x = 8. (You can and should use a calculator on this problem.) (a) Approximate the area of R using a right Riemann sum with n = 7 rectangles. (b) Approximate the area of R using a right Riemann sum with n=14 rectangles. Consider the graph of y = cos() on the interval [0, 7], as shown below. (You can and should use a calculator on this problem.) -1.5 -0.5 0 114 11/2 3/4 (a) Estimate the area under the curve over the interval [0, 7] using a right Riemann sum and n = 4 equal subdivisions. Is you answer an overestimate or an underestimate? (b) Estimate the area under the curve over the interval [0, ] using a left Riemann sum and n = 4 equal subdivisions. Is you answer an overestimate or an underestimate? (c) Approximate the area of R using a midpoint Riemann sum with n = 7 rectangles. 2. (5 points each) Let R be the region bounded by the function y = r, the x-axis, and the lines x = 1 and x = 8. (You can and should use a calculator on this problem.) (a) Approximate the area of R using a right Riemann sum with n = 7 rectangles. (b) Approximate the area of R using a right Riemann sum with n=14 rectangles.
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Discovering Advanced Algebra An Investigative Approach
ISBN: 978-1559539845
1st edition
Authors: Jerald Murdock, Ellen Kamischke, Eric Kamischke
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