(b) Repeat part (a) using a left endpoints. 43 = 46 = Sketch the curve and the approximating rectangles for 43. 0-1 y 12 10 CO 8 2 1 2 Sketch the curve and the approximating rectangles for 46. y 12 10 8 y y 12 12 12 10 10 8 8 6 2라 y 12 10 1 2 6 2 y 12 10 1 2 10 8 Co 9 2 12 y 10 8 8 8 2 2 2 1 x x X 1 -0.5 0.5 1 1.5 2 -0.5 0.5 1 1.5 2 -0.5 0.5 1 1.5 2 -0.5 0.5 1 2 (c) Repeat part (a) using a midpoints. (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. Let f(x) = 4 + 2x². R3 Improve your estimate by using six rectangles. R6 Sketch the curve and the approximating rectangles for R3. y 12 10 8 6 2 2 12 y 10 8 2 X 1 2 0-1 1 2 x y 12 100 8 2 1 2 y 12 10 8 6 2 1 2 x
(b) Repeat part (a) using a left endpoints. 43 = 46 = Sketch the curve and the approximating rectangles for 43. 0-1 y 12 10 CO 8 2 1 2 Sketch the curve and the approximating rectangles for 46. y 12 10 8 y y 12 12 12 10 10 8 8 6 2라 y 12 10 1 2 6 2 y 12 10 1 2 10 8 Co 9 2 12 y 10 8 8 8 2 2 2 1 x x X 1 -0.5 0.5 1 1.5 2 -0.5 0.5 1 1.5 2 -0.5 0.5 1 1.5 2 -0.5 0.5 1 2 (c) Repeat part (a) using a midpoints. (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. Let f(x) = 4 + 2x². R3 Improve your estimate by using six rectangles. R6 Sketch the curve and the approximating rectangles for R3. y 12 10 8 6 2 2 12 y 10 8 2 X 1 2 0-1 1 2 x y 12 100 8 2 1 2 y 12 10 8 6 2 1 2 x
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter7: Integration
Section7.CR: Chapter 7 Review
Problem 54CR
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Question
see pics
Transcribed Image Text:(b) Repeat part (a) using a left endpoints.
43 =
46
=
Sketch the curve and the approximating rectangles for 43.
0-1
y
12
10
CO
8
2
1
2
Sketch the curve and the approximating rectangles for 46.
y
12
10
8
y
y
12
12
12
10
10
8
8
6
2라
y
12
10
1
2
6
2
y
12
10
1
2
10
8
Co
9
2
12
y
10
8
8
8
2
2
2
1
x
x
X
1
-0.5
0.5
1
1.5
2
-0.5
0.5
1
1.5
2
-0.5
0.5
1
1.5
2
-0.5
0.5
1
2
(c) Repeat part (a) using a midpoints.
Transcribed Image Text:(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.
Let f(x)
= 4 + 2x².
R3
Improve your estimate by using six rectangles.
R6
Sketch the curve and the approximating rectangles for R3.
y
12
10
8
6
2
2
12
y
10
8
2
X
1
2
0-1
1
2
x
y
12
100
8
2
1
2
y
12
10
8
6
2
1
2
x
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