Consider the following. y 8. y = f\x) 4 8 (a) Use six rectangles to find estimates of each type for the area under the given graph of f from x = 0 to x = 12. (i) Sample points are left endpoints. L6 = (ii) Sample points are right endpoints. Rg = (iii) Sample points are midpoints. M6 = (b) Is Lg an underestimate or overestimate of the true area? O overestimate O underestimate (c) Is Rg an underestimate or overestimate of the true area? O overestimate O underestimate (d) Which of the numbers gives the best estimate? O L6 M6 R5 CO

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Consider the following.
y
8
y = f(x)
4
8
(a) Use six rectangles to find estimates of each type for the area under the given graph of f from x = 0 to x = 12.
(i) Sample points are left endpoints.
L6 =
(ii) Sample points are right endpoints.
R5 =
(iii) Sample points are midpoints.
M5 =
(b) Is Lg an underestimate or overestimate of the true area?
O overestimate
O underestimate
(c) Is Rg an underestimate or overestimate of the true area?
O overestimate
O underestimate
(d) Which of the numbers gives the best estimate?
O L6
O M6
O R5
Transcribed Image Text:Consider the following. y 8 y = f(x) 4 8 (a) Use six rectangles to find estimates of each type for the area under the given graph of f from x = 0 to x = 12. (i) Sample points are left endpoints. L6 = (ii) Sample points are right endpoints. R5 = (iii) Sample points are midpoints. M5 = (b) Is Lg an underestimate or overestimate of the true area? O overestimate O underestimate (c) Is Rg an underestimate or overestimate of the true area? O overestimate O underestimate (d) Which of the numbers gives the best estimate? O L6 O M6 O R5
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