The graph of the function f is given. 16 12 12 16 20 24 (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 = 24. (1) 4, (sample points are left endpoints) (ii) R, (sample points are right endpoints) R = (ii) M. (sample points are midpoints) M. = (b) Is L an underestimate or overestimate of the true area? O overestimnate O underestimate (c) Is R an underestimate or overestimate of the true area? O overestimate O underestimate (d) Which of the numbers L R, or M, gives the best estimate of the true area?
The graph of the function f is given. 16 12 12 16 20 24 (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 = 24. (1) 4, (sample points are left endpoints) (ii) R, (sample points are right endpoints) R = (ii) M. (sample points are midpoints) M. = (b) Is L an underestimate or overestimate of the true area? O overestimnate O underestimate (c) Is R an underestimate or overestimate of the true area? O overestimate O underestimate (d) Which of the numbers L R, or M, gives the best estimate of the true area?
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.
16
12
y-A
12
16
20
24
(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 = 24.
(04, (sample points are left endpoints)
(ii) R. (sample points are right endpoints)
R, =
(ii) M. (sample points are midpoints)
M =
(b) Is L an underestimate or overestimate of the true area?
O overestimnate
O underestimate
(c) Is R an underestimate or overestimate of the true area?
O overestimate
O underestimate
(d) Which of the numbers L R, or M, gives the best estimate of the true area?
OR,
OM.
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