15 Suppose f(æ) (a) The rectangles in the graph on the left illustrate a left endpoint Riemann sum for f(æ) on the interval 3

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 78E
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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
3 <a < 5. The value of this left endpoint Riemann sum is
and it is an
v the area of the region enclosed by y =
f(x), the x-axis, and the vertical lines x = 3
and x = 5.
(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
and it is
an ?
the area of the region enclosed by y = f(x), the x-axis, and the vertical lines
3 and x = 5.
Transcribed Image Text: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 3 <a < 5. The value of this left endpoint Riemann sum is and it is an v the area of the region enclosed by y = f(x), the x-axis, and the vertical lines x = 3 and x = 5. (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 and it is an ? the area of the region enclosed by y = f(x), the x-axis, and the vertical lines 3 and x = 5.
y
8.
7
6
6
4
3
2.
2
1
1
1
5
2
4
5
6 7 8
Left endpoint Riemann sum
Right endpoint Riemann sum
Transcribed Image Text:y 8. 7 6 6 4 3 2. 2 1 1 1 5 2 4 5 6 7 8 Left endpoint Riemann sum Right endpoint Riemann sum
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