The rectangles x² 2 sum for f(x) 8 The value of this left endpoint Riemann sum is 24 8 7 is an underestimate of the area of the region enclosed by y = f(x), the x-axis, and the vertical lines x = 4 and x = 8. 6 5 3 2 1 = for f(x) = = in the graph below illustrate a left endpoint Riema on the interval [4, 8]. y 1 2 3 4 Left endpoint Riemann sum for y = and this Riemann s 5 6 7 8 on the interval [4, 8]. The rectangles in the graph below illustrate a right endpoint Riemann sum x² on [4,8] 3 X 8 The value of this right endpoint Riemann sum is 1 1 and this Riemann s is an overestimate of the area of the region enclosed by y = f(x), the x-axis, and the vertical lines x = 4 and x = 8.
The rectangles x² 2 sum for f(x) 8 The value of this left endpoint Riemann sum is 24 8 7 is an underestimate of the area of the region enclosed by y = f(x), the x-axis, and the vertical lines x = 4 and x = 8. 6 5 3 2 1 = for f(x) = = in the graph below illustrate a left endpoint Riema on the interval [4, 8]. y 1 2 3 4 Left endpoint Riemann sum for y = and this Riemann s 5 6 7 8 on the interval [4, 8]. The rectangles in the graph below illustrate a right endpoint Riemann sum x² on [4,8] 3 X 8 The value of this right endpoint Riemann sum is 1 1 and this Riemann s is an overestimate of the area of the region enclosed by y = f(x), the x-axis, and the vertical lines x = 4 and x = 8.
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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Please help me, I am not sure where Iam going wrong on these problems.
![The rectangles
x²
sum for f(x)
8
The value of this left endpoint Riemann sum is 24
8
7
3
is an underestimate of the area of the region enclosed by
y = f(x), the x-axis, and the vertical lines x = 4 and x = 8.
2
1
=
in the graph below illustrate a left endpoint Riema
on the interval [4, 8].
=
1
2
3
4
5 6
=
Left endpoint Riemann sum for y
on the interval [4, 8].
"
and this Riemann su
7 8
²on [4,8]
The rectangles in the graph below illustrate a right endpoint Riemann sum
x²
2
for f(x)
8
The value of this right endpoint Riemann sum is 1
7
X
and this Riemann s
is an overestimate of
y =
f(x), the x-axis, and the vertical lines x = 4 and x = 8.
the area of the region enclosed by](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8afd835b-b164-4187-8cbf-01a7fb9b88d5%2F6defa0a3-b6af-45c3-9261-3603f0798e67%2F28thvm1_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The rectangles
x²
sum for f(x)
8
The value of this left endpoint Riemann sum is 24
8
7
3
is an underestimate of the area of the region enclosed by
y = f(x), the x-axis, and the vertical lines x = 4 and x = 8.
2
1
=
in the graph below illustrate a left endpoint Riema
on the interval [4, 8].
=
1
2
3
4
5 6
=
Left endpoint Riemann sum for y
on the interval [4, 8].
"
and this Riemann su
7 8
²on [4,8]
The rectangles in the graph below illustrate a right endpoint Riemann sum
x²
2
for f(x)
8
The value of this right endpoint Riemann sum is 1
7
X
and this Riemann s
is an overestimate of
y =
f(x), the x-axis, and the vertical lines x = 4 and x = 8.
the area of the region enclosed by
![The rectangles in the graph below illustrate a right endpoint Riemann sum
2
X
for f(x)
R²R
8
The value of this right endpoint Riemann sum is 1 and this Riemann sum
=
8
is an overestimate of
y = f(x), the x-axis, and the vertical lines x = 4 and x 8.
7
6
5
4
3
2
1
on the interval [4, 8].
Y
1
2
the area of the region enclosed by
J
3
4 5 6 7 8
Right endpoint Riemann sum for y
8
on [4, 8]
X](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8afd835b-b164-4187-8cbf-01a7fb9b88d5%2F6defa0a3-b6af-45c3-9261-3603f0798e67%2F04zsf8w_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The rectangles in the graph below illustrate a right endpoint Riemann sum
2
X
for f(x)
R²R
8
The value of this right endpoint Riemann sum is 1 and this Riemann sum
=
8
is an overestimate of
y = f(x), the x-axis, and the vertical lines x = 4 and x 8.
7
6
5
4
3
2
1
on the interval [4, 8].
Y
1
2
the area of the region enclosed by
J
3
4 5 6 7 8
Right endpoint Riemann sum for y
8
on [4, 8]
X
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