15 Suppose f(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 and it is an ? the area of the region enclosed by y = f(x), the x-axis, and the vertical lines æ = 4 and x = 6. (b) The rectangles in the graph on the right illustrate a right endpoint Riemann sum for f(x) on the interval 4 < a < 6. The value of this right 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 and a = 6. ly 8 ly 8 7 7 6 5 4 4 3 3 4 5 6 7 8 5 6 7 8 Left endpoint Riemann sum Right endpoint Riemann sum
15 Suppose f(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 and it is an ? the area of the region enclosed by y = f(x), the x-axis, and the vertical lines æ = 4 and x = 6. (b) The rectangles in the graph on the right illustrate a right endpoint Riemann sum for f(x) on the interval 4 < a < 6. The value of this right 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 and a = 6. ly 8 ly 8 7 7 6 5 4 4 3 3 4 5 6 7 8 5 6 7 8 Left endpoint Riemann sum Right endpoint Riemann sum
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:15
Suppose f(x) =
(a) The rectangles in the graph on the left illustrate a left endpoint Riemann sum for f(æ) 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 a =
4 and x =
6.
(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 ?
the area of
the region enclosed by y = f(x), the x-axis, and the vertical lines x = 4 and a = 6.
8
7
7
6
6
4
4 +
3
2
4 5 6 7
4 5 6 7
2
3
8
2
3
8
Left endpoint Riemann sum
Right endpoint Riemann sum
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