Suppose f(x): 15 x

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 54E
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Question
Suppose f(x) =
15
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 x = 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
✓the area of
the region enclosed by y = f(x), the x-axis, and the vertical lines x =
8
7
6
5
4
3
2
1
9
1 2 3 4 5 6 7 8
X
Left endpoint Riemann sum
8
7
6
10
4
3
9
2
1
2
y
4 and x =
and it is an?
1 2
3
6.
4 56 7 8
X
Right endpoint Riemann sum
Transcribed Image Text:Suppose f(x) = 15 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 x = 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 ✓the area of the region enclosed by y = f(x), the x-axis, and the vertical lines x = 8 7 6 5 4 3 2 1 9 1 2 3 4 5 6 7 8 X Left endpoint Riemann sum 8 7 6 10 4 3 9 2 1 2 y 4 and x = and it is an? 1 2 3 6. 4 56 7 8 X Right endpoint Riemann sum
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