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The left, right, Trapezoidal, and Midpoint Rule approximations were used to estimate f(x) dx, where f is the function whose graph is shown. The estimates were 0.7819, 0.8679, 0.8631, and 0.9540, and the same number of subintervals were used in each case.

The left, right, Trapezoidal, and Midpoint Rule approximations were used to estimate f(x) dx, where f is the function whose graph is shown. The estimates were 0.7819, 0.8679, 0.8631, and 0.9540, and the same number of subintervals were used in each case.

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.3: Rates Of Change
Problem 25E
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The left, right, Trapezoidal, and Midpoint Rule approximations were used to estimate *2 f(x) dx, where f is the function whose graph is shown. The estimates were 0.7819, 0.8679, 0.8631, and 0.9540, and the same number of subintervals were used in each case. [² F(x) a y (a) Which rule produced which estimate? Ln = 0.9540 Rn = 0.8679 Tn = 0.8631 Mn = 0.7819 0.8631 0.8679 y = f(x) > x x 2 (b) Between which two approximations does the true value of (smaller value) (larger value) X 2 [²rx f(x) dx lie?
Transcribed Image Text:The left, right, Trapezoidal, and Midpoint Rule approximations were used to estimate *2 f(x) dx, where f is the function whose graph is shown. The estimates were 0.7819, 0.8679, 0.8631, and 0.9540, and the same number of subintervals were used in each case. [² F(x) a y (a) Which rule produced which estimate? Ln = 0.9540 Rn = 0.8679 Tn = 0.8631 Mn = 0.7819 0.8631 0.8679 y = f(x) > x x 2 (b) Between which two approximations does the true value of (smaller value) (larger value) X 2 [²rx f(x) dx lie?
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