a) The rectangles in the graph below illustrate a left endpoint Riemann sum for x² f(x) 12 The value of this Riemann sum is = on the interval [2, 6]. this Riemann sum is an underestimate of y = f(x), the x-axis, and the vertical lines x = 2 and x = 6. the area of the region enclosed by , and

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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a) The rectangles in the graph below illustrate a left endpoint Riemann sum for
x²
f(x) = 2 on the interval [2, 6].
The value of this Riemann sum is
this Riemann sum is an underestimate of the area of the region enclosed by
y = f(x), the x-axis, and the vertical lines x = 2 and x = 6.
8
7
6
5
4
3
2
1
y
1
2 3 4 5 6
Left endpoint Riemann sum for
=
7
8
2222
X
on [2, 6]
, and
Transcribed Image Text:a) The rectangles in the graph below illustrate a left endpoint Riemann sum for x² f(x) = 2 on the interval [2, 6]. The value of this Riemann sum is this Riemann sum is an underestimate of the area of the region enclosed by y = f(x), the x-axis, and the vertical lines x = 2 and x = 6. 8 7 6 5 4 3 2 1 y 1 2 3 4 5 6 Left endpoint Riemann sum for = 7 8 2222 X on [2, 6] , and
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