Let f(x) = 3 + 2x². (a) Estimate the area under the graph of f, the x-axis, and the lines x= -1 and x = 2 using three rectangles and right endpoints. R3 = Improve your estimate by using six rectangles. R6 = Sketch the curve and the approximating rectangles for R3. y y 10 8 6 y 10 8 6 -1 10 8 1 2 X -1 y 10 8 6 4 X

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Equations, Inequalities, And Mathematical Modeling
Section1.1: Graphs Of Equations
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Let f(x) = 3 + 2x².
(a) Estimate the area under the graph of f, the x-axis, and the lines x = −1 and x = 2 using three rectangles and a right endpoints.
R3 =
Improve your estimate by using six rectangles.
R6 =
=
Sketch the curve and the approximating rectangles for R3.
y
C-3
10
8
6
4
2
y
10
8
6
1
2
y
y
10
10
8
8
IZ
6
6
4
4
2
2
X
1
C-1
1
X
(
Transcribed Image Text:Let f(x) = 3 + 2x². (a) Estimate the area under the graph of f, the x-axis, and the lines x = −1 and x = 2 using three rectangles and a right endpoints. R3 = Improve your estimate by using six rectangles. R6 = = Sketch the curve and the approximating rectangles for R3. y C-3 10 8 6 4 2 y 10 8 6 1 2 y y 10 10 8 8 IZ 6 6 4 4 2 2 X 1 C-1 1 X (
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