10. Given f(x) > 0 with f '(x) < 0, and f "(x) > 0 for all x in the interval [0, 2] with f(0) = 1 and f(2)= 0.2, the left, right, trapezoidal, and midpoint rule approximations were used to estimate = {f(x)dx. The estimates were 0.7811, 0.8675, 0.8650, 0.8632 and 0.9540, and the same number of subintervals were used in each case. Match the rule to its estimate. 1. left endpoint 2. actual area 3. trapezoidal 4. midpoint 5. right endpoint a. 0.9540 b. 0.7811 c. 0.8632 d. 0.8675 e. 0.8650

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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10. Given f(x) > 0 with f '(x) < 0, and f "(x) > 0 for all x in the interval [0, 2] with f(0) = 1 and f(2)= 0.2, the left, right, trapezoidal, and midpoint rule approximations were used to estimate e f(x)dx
The estimates were 0.7811, 0.8675, 0.8650, 0.8632 and 0.9540, and the same number of subintervals were used in each case. Match the rule to its estimate.
1. left endpoint
2. actual area
3. trapezoidal
4. midpoint
5. right endpoint
a. 0.9540
b. 0.7811
c. 0.8632
d. 0.8675
e. 0.8650
Transcribed Image Text:10. Given f(x) > 0 with f '(x) < 0, and f "(x) > 0 for all x in the interval [0, 2] with f(0) = 1 and f(2)= 0.2, the left, right, trapezoidal, and midpoint rule approximations were used to estimate e f(x)dx The estimates were 0.7811, 0.8675, 0.8650, 0.8632 and 0.9540, and the same number of subintervals were used in each case. Match the rule to its estimate. 1. left endpoint 2. actual area 3. trapezoidal 4. midpoint 5. right endpoint a. 0.9540 b. 0.7811 c. 0.8632 d. 0.8675 e. 0.8650
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