(a) Estimate the area under the graph of f(x) = 4 + 2x² from x = -1 to x = 2 using three rectangles and right endpoints. R3 = Then improve your estimate by using six rectangles. R6 = Sketch the curve and the approximating rectangles for R3. y y 12 10 8 K 6 2 X 1 y 12 10 -1 -1 12 10 8 2 y 12 10 8 6 2 1 2 -1 -1 8 2

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 2E
Question
(a) Estimate the area under the graph of f(x) = 4 + 2x² from x = -1 to x = 2 using three rectangles and right endpoints.
R3 =
Then improve your estimate by using six rectangles.
R6 =
Sketch the curve and the approximating rectangles for R3.
y
y
2
-1
12
10
8
y
12
10
8
2
1
12
10
8
6-
y
12
10
8
1
1
2
2
X
X
Transcribed Image Text:(a) Estimate the area under the graph of f(x) = 4 + 2x² from x = -1 to x = 2 using three rectangles and right endpoints. R3 = Then improve your estimate by using six rectangles. R6 = Sketch the curve and the approximating rectangles for R3. y y 2 -1 12 10 8 y 12 10 8 2 1 12 10 8 6- y 12 10 8 1 1 2 2 X X
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