Consider the following. y 24 y = f{x) 12 12 24 X (a) Use six rectangles to find estimates of each type for the area under the given graph off from x = 0 to x = 36. (i) Sample points are left endpoints. L6 = (ii) Sample points are right endpoints. R6 = (iii) Sample points are midpoints. M6 = (b) Is L6 an underestimate or overestimate of the true area? O overestimate O underestimate (c) Is Re an underestimate or overestimate of tho trug
Consider the following. y 24 y = f{x) 12 12 24 X (a) Use six rectangles to find estimates of each type for the area under the given graph off from x = 0 to x = 36. (i) Sample points are left endpoints. L6 = (ii) Sample points are right endpoints. R6 = (iii) Sample points are midpoints. M6 = (b) Is L6 an underestimate or overestimate of the true area? O overestimate O underestimate (c) Is Re an underestimate or overestimate of tho trug
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:Consider the following.
y
24
y = f(x)
12
12
24
(a) Use six rectangles to find estimates of each type for the area under the given graph of f from x = 0 to x = 36.
(i) Sample points are left endpoints.
L6 =
(ii) Sample points are right endpoints.
R6 =
(iii) Sample points are midpoints.
M6 =
(b) Is L6 an underestimate or overestimate of the true area?
O overestimate
O underestimate
(c) Is Re an underestimate or overestimate of tho truo nrOn
Transcribed Image Text:12
12
24
(a) Use six rectangles to find estimates of each type for the area under the given graph of f from x = 0 to x = 36.
(i) Sample points are left endpoints.
L6 =
(ii) Sample points are right endpoints.
R6 =
(iii) Sample points are midpoints.
M6 =
(b) Is L6 an underestimate or overestimate of the true area?
O overestimate
O underestimate
(c) Is R6 an underestimate or overestimate of the true area?
O overestimate
O underestimate
(d) Which of the numbers gives the best estimate?
M6
O L6
O R6
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