a) The rectangles in the graph below illustrate a x2 Riemann sum for f(x) 8 left endpoint on the interval (2, 6]. The value of this Riemann sum is 4.5 and this Riemann sum is an underestimate of v the area of the region enclosed by y f(x), the x-axis, and the vertical lines x = 2 and x = 6. 7 6 2 1 2 3 4 5 6 7 8 Left endpoint Riemann sum for y = on [2, 6]
a) The rectangles in the graph below illustrate a x2 Riemann sum for f(x) 8 left endpoint on the interval (2, 6]. The value of this Riemann sum is 4.5 and this Riemann sum is an underestimate of v the area of the region enclosed by y f(x), the x-axis, and the vertical lines x = 2 and x = 6. 7 6 2 1 2 3 4 5 6 7 8 Left endpoint Riemann sum for y = on [2, 6]
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.4: Mathematical Induction
Problem 39E
Related questions
Question
![a) The rectangles in the graph below illustrate a
left endpoint
v Riemann sum for f(x)
on the
8
interval (2, 6].
The value of this Riemann sum is
4.5
, and this
Riemann sum is an
underestimate of
v the area of the
region enclosed by y = f(x), the x-axis, and the vertical
lines x = 2 and x = 6.
8
6
4
3
2
1
1 2 3 4 5 6 7
8
Left endpoint Riemann sum for y = on [2, 6]
II](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F49444d66-96b7-45b8-992f-0f6c51b0e4d0%2F63c8e8dc-a517-41f6-81ad-dd0e27d258e3%2Fzulqaxk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:a) The rectangles in the graph below illustrate a
left endpoint
v Riemann sum for f(x)
on the
8
interval (2, 6].
The value of this Riemann sum is
4.5
, and this
Riemann sum is an
underestimate of
v the area of the
region enclosed by y = f(x), the x-axis, and the vertical
lines x = 2 and x = 6.
8
6
4
3
2
1
1 2 3 4 5 6 7
8
Left endpoint Riemann sum for y = on [2, 6]
II
![b) The rectangles in the graph below illustrate a
right endpoint
v Riemann sum for f(x) :
on the
8
interval [2, 6].
The value of this Riemann sum is
and this
Riemann sum is an
overestimate of
v the area of the
region enclosed by y = f(x), the x-axis, and the vertical
lines x = 2 and x = 6.
%3D
8
7
6
2 3 4 5 6 7
8
Right endpoint Riemann sum for y = on 2, 6]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F49444d66-96b7-45b8-992f-0f6c51b0e4d0%2F63c8e8dc-a517-41f6-81ad-dd0e27d258e3%2F97ypqgj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:b) The rectangles in the graph below illustrate a
right endpoint
v Riemann sum for f(x) :
on the
8
interval [2, 6].
The value of this Riemann sum is
and this
Riemann sum is an
overestimate of
v the area of the
region enclosed by y = f(x), the x-axis, and the vertical
lines x = 2 and x = 6.
%3D
8
7
6
2 3 4 5 6 7
8
Right endpoint Riemann sum for y = on 2, 6]
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