(a) Estimate the area under the graph of f(x) = 5 + 4x2 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.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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(a) Estimate the area under the graph of f(x) = 5 + 4x² 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
20
15
10아
2
Transcribed Image Text:(a) Estimate the area under the graph of f(x) = 5 + 4x² 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 20 15 10아 2
Sketch the curve and the approximating rectangles for R6.
y
y
20
20
15
15
10
10
X
X
-0.5
0.5
1
1.5
2
-1
-0.5
0.5
1
1.5
2
y
y
20
20
15
15
10
10
X
X
-1
-0.5
0.5
1
1.5
0-1
-0.5
0.5
1
1.5
2
Transcribed Image Text:Sketch the curve and the approximating rectangles for R6. y y 20 20 15 15 10 10 X X -0.5 0.5 1 1.5 2 -1 -0.5 0.5 1 1.5 2 y y 20 20 15 15 10 10 X X -1 -0.5 0.5 1 1.5 0-1 -0.5 0.5 1 1.5 2
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