The graph of the function fis given. y 16 12 8 4 0 4 y= f(x) 8 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) 4₁ (sample points are left endpoints) 4 = (ii) R (sample points are right endpoints) R=[ (iii) M (sample points are midpoints) M₁= R₂ Mo (b) Is L, an underestimate or overestimate of the true area? O overestimate O underestimate (c) Is R, an underestimate or overestimate of the true area? overestimate O underestimate (d) Which of the numbers L, R₁, or M gives the best estimate of the true area? OL

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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The graph of the function f is given.
16
y
12
8
4
0
4
6
y = f(x)
8 12 16 20 24
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.
(i) L (sample points are left endpoints)
(ii) R (sample points are right endpoints)
(iii) M6 (sample points are midpoints)
M₁
(b) Is L, an underestimate or overestimate of the true area?
O overestimate
O underestimate
OME
(c) Is R₁ an underestimate or overestimate of the true area?
O overestimate
O underestimate
X
(d) Which of the numbers LR, or M gives the best estimate of the true area?
04
Transcribed Image Text:The graph of the function f is given. 16 y 12 8 4 0 4 6 y = f(x) 8 12 16 20 24 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. (i) L (sample points are left endpoints) (ii) R (sample points are right endpoints) (iii) M6 (sample points are midpoints) M₁ (b) Is L, an underestimate or overestimate of the true area? O overestimate O underestimate OME (c) Is R₁ an underestimate or overestimate of the true area? O overestimate O underestimate X (d) Which of the numbers LR, or M gives the best estimate of the true area? 04
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