The graph of the function f is given. y y = f\x) 4 2 The x y coordinate plane is given. The graph of the curve f(x) goes down and right becoming more steep, going through the following approximate points. (0, 9) (1, 8.9) (2, 8.8) (3, 8.5) (4, 8.2) (5, 7.8) (6, 7.3) (7, 6.6) (8, 5.9) (9, 5.1) (10, 4.1) (11, 2.8) (12, 1) CO
The graph of the function f is given. y y = f\x) 4 2 The x y coordinate plane is given. The graph of the curve f(x) goes down and right becoming more steep, going through the following approximate points. (0, 9) (1, 8.9) (2, 8.8) (3, 8.5) (4, 8.2) (5, 7.8) (6, 7.3) (7, 6.6) (8, 5.9) (9, 5.1) (10, 4.1) (11, 2.8) (12, 1) CO
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:The graph of the function f is given.
y
8
6
y = f\x)
4
2
The x y coordinate plane is given. The graph of the curve f(x)
goes down and right becoming more steep, going through the
following approximate points. (0, 9) (1, 8.9) (2, 8.8) (3, 8.5)
(4, 8.2) (5, 7.8) (6, 7.3) (7, 6.6) (8, 5.9) (9, 5.1) (10, 4.1)
(11, 2.8) (12, 1)
(a) Use six rectangles to find estimates of each type for the area under the given graph of f, the x-axis, and the lines x = 0 and x = 12.
(i) L, (sample points are left endpoints)
(ii) R, (sample points are right endpoints)
R6
%|
(iii) M, (sample points are midpoints)
M6
(b) Is Le an underestimate or overestimate of the true area?
overestimate
O underestimate
Transcribed Image Text:(b)
Is Ls an underestimate or overestimate of the true area?
overestimate
underestimate
(c)
Is Re an underestimate or overestimate of the true area?
overestimate
underestimate
(d)
Which of the numbers Le, Rs, or M. gives the best estimate of the true area?
O L6
R6
M6
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