Suppose f(x) 17 X (a) The rectangles in the graph on the left illustrate a left endpoint Riemann sum for f(x) on the interval 4 ≤ x ≤ 6. The value of this left endpoint Riemann sum is the area of the region enclosed by y = f(x), the x-axis, and the vertical lines ï = 4 ? and x = 6. 2 the area of the region enclosed by y = and it is an (b) The rectangles in the graph on the right illustrate a right endpoint Riemann sum for f(x) on the interval 4 ≤ x ≤ 6. The value of this right endpoint Riemann sum is and it is an? f(x), the x-axis, and the vertical lines
Suppose f(x) 17 X (a) The rectangles in the graph on the left illustrate a left endpoint Riemann sum for f(x) on the interval 4 ≤ x ≤ 6. The value of this left endpoint Riemann sum is the area of the region enclosed by y = f(x), the x-axis, and the vertical lines ï = 4 ? and x = 6. 2 the area of the region enclosed by y = and it is an (b) The rectangles in the graph on the right illustrate a right endpoint Riemann sum for f(x) on the interval 4 ≤ x ≤ 6. The value of this right endpoint Riemann sum is and it is an? f(x), the x-axis, and the vertical lines
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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Transcribed Image Text:Suppose f(x)
?
and x = = 6.
(a) The rectangles in the graph on the left illustrate a left endpoint Riemann sum for f(x) on the interval
4 ≤ x ≤ 6. The value of this left endpoint Riemann sum is
and it is an
✓the area of the region enclosed by y = f(x), the x-axis, and the vertical lines x = 4
=
an?
X =
(b) The rectangles in the graph on the right illustrate a right endpoint Riemann sum for f(x) on the
interval 4 ≤ x ≤ 6. The value of this right endpoint Riemann sum is
and it is
✓the area of the region enclosed by y = f(x), the x-axis, and the vertical lines
17
X
4 and x =
6.
->
→
9
Transcribed Image Text:8
7
6
5
4
3
2
1
y
1 2
3 4 5 6 7 8
X
Left endpoint Riemann sum
8
7
6
5
4
3
2
1
1 2
3 4
5 6 7
8
X
Right endpoint Riemann sum
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