1. [-/14.28 Points] DETAILS MY NOTES SCALCET9 5.1.002. The graph of the function f is given. y 8 CO 6 y = f(x) 4 2 x 0 2 4 6 8 10 12 (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) 46 (sample points are left endpoints) 46 = (ii) R6 (sample points are right endpoints) R6 = (iii) M6 (sample points are midpoints) M6 = (b) Is 46 an underestimate or overestimate of the true area? overestimate O underestimate (c) Is R6 an underestimate or overestimate of the true area? overestimate underestimate (d) Which of the numbers L6, R6, or M6 gives the best estimate of the true area? R6 46

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 75E
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1. [-/14.28 Points]
DETAILS
MY NOTES
SCALCET9 5.1.002.
The graph of the function f is given.
y
8
CO
6
y = f(x)
4
2
x
0
2
4
6
8
10
12
(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) 46 (sample points are left endpoints)
46
=
(ii) R6 (sample points are right endpoints)
R6
=
(iii) M6 (sample points are midpoints)
M6
=
(b) Is 46 an underestimate or overestimate of the true area?
overestimate
O underestimate
(c) Is R6 an underestimate or overestimate of the true area?
overestimate
underestimate
(d) Which of the numbers L6, R6, or M6 gives the best estimate of the true area?
R6
46
Transcribed Image Text:1. [-/14.28 Points] DETAILS MY NOTES SCALCET9 5.1.002. The graph of the function f is given. y 8 CO 6 y = f(x) 4 2 x 0 2 4 6 8 10 12 (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) 46 (sample points are left endpoints) 46 = (ii) R6 (sample points are right endpoints) R6 = (iii) M6 (sample points are midpoints) M6 = (b) Is 46 an underestimate or overestimate of the true area? overestimate O underestimate (c) Is R6 an underestimate or overestimate of the true area? overestimate underestimate (d) Which of the numbers L6, R6, or M6 gives the best estimate of the true area? R6 46
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