b) The rectangles in the graph below illustrate a ? [4, 8]. The value of this Riemann sum is and this Riemann sum is an ? enclosed by y = f(x), the x-axis, and the vertical lines x = 4 and x = 8. 8 7 6 5 3 2 1 y 1 2 3 4 5 Riemann sum for f(x) = = 6 7 Right endpoint Riemann sum for y=on [4, 8] 8 X 12 on the interval the area of the region

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Question
b) The rectangles in the graph below illustrate a ?
[4, 8].
The value of this Riemann sum is
$1 and this Riemann sum is an ?
enclosed by y = f(x), the x-axis, and the vertical lines x = 4 and x = 8.
8
7
6
5
4
3
2
1
Riemann sum for f(x):
y
1 2 3 4 5 6 7 8
Right endpoint Riemann sum for y =
12
on [4,8]
=
X
x²
2
12
on the interval
◆ the area of the region
Transcribed Image Text:b) The rectangles in the graph below illustrate a ? [4, 8]. The value of this Riemann sum is $1 and this Riemann sum is an ? enclosed by y = f(x), the x-axis, and the vertical lines x = 4 and x = 8. 8 7 6 5 4 3 2 1 Riemann sum for f(x): y 1 2 3 4 5 6 7 8 Right endpoint Riemann sum for y = 12 on [4,8] = X x² 2 12 on the interval ◆ the area of the region
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