13 Suppose f(x) = (a) The rectangles in the graph on the left illustrate a left endpoint Riemann sum for f(x) on the interval 3 < x < 5. The value of this left endpoint Riemann sum is and it is an overestimate of v the area of Right the region enclosed by y = f(x), the x-axis, and the vertical lines x = 3 and x = 5. Left endpoint endpoint Riemann Riemann sum (b) The rectangles in the graph on the right illustrate a right endpoint Riemann sum for f(x) on the interval 3 < x < 5. The value of this right endpoint Riemann sum is sum and it is an underestimate of v the area of the region enclosed by y = f(x), the x-axis, and the vertical lines x = 3 and x = 5. .....
13 Suppose f(x) = (a) The rectangles in the graph on the left illustrate a left endpoint Riemann sum for f(x) on the interval 3 < x < 5. The value of this left endpoint Riemann sum is and it is an overestimate of v the area of Right the region enclosed by y = f(x), the x-axis, and the vertical lines x = 3 and x = 5. Left endpoint endpoint Riemann Riemann sum (b) The rectangles in the graph on the right illustrate a right endpoint Riemann sum for f(x) on the interval 3 < x < 5. The value of this right endpoint Riemann sum is sum and it is an underestimate of v the area of the region enclosed by y = f(x), the x-axis, and the vertical lines x = 3 and x = 5. .....
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:13
Suppose f(x)
(a) The rectangles in the graph on the left illustrate a left endpoint Riemann sum for f(x) on the interval
3 < x < 5. The value of this left endpoint Riemann sum is
and it is an
overestimate of
the area of
Right
the region enclosed by y = f (x), the x-axis, and the vertical lines x =
3 and x =
= 5.
Left endpoint
endpoint
Riemann
Riemann
sum
(b) The rectangles in the graph on the right illustrate a right endpoint Riemann sum for f(x) on the interval
sum
3 < x < 5. The value of this right endpoint Riemann sum is
and it is an
underestimate of v the area of
the region enclosed by y = f (x), the x-axis, and the vertical lines x = 3 and x = 5.
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