Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximating rectangle. y = 2 cos(x), y = 2ex, x=-=- WH y 15 13 11 9 2 4 y 15 13 11 9 -9 13 11 9 0

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.5: Equations Of Lines
Problem 50E: The y-axis along with the graphs of y=-2x+7 and y=x+2 encloses a triangular region. Find the area of...
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Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximating rectangle.
20
T
y = 2 cos(x), y = 2ex, x =
y
15
13
11
9
5
3
1F
π
4
Find the area of the region.
π
2
2
Зл
4
म
X
π
4
y
15
13
11
9
7
5
3
1
π
4
π
2
Зл
π
X
π
4
y
3
1
-1
-3
-5
-7
-9
-11
-13
-15
4
Зл
4
म
X
π
y
15
13
11
9
7
5
3
1
-1
π
4
π
2
3″
4
R
X
Transcribed Image Text:Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximating rectangle. 20 T y = 2 cos(x), y = 2ex, x = y 15 13 11 9 5 3 1F π 4 Find the area of the region. π 2 2 Зл 4 म X π 4 y 15 13 11 9 7 5 3 1 π 4 π 2 Зл π X π 4 y 3 1 -1 -3 -5 -7 -9 -11 -13 -15 4 Зл 4 म X π y 15 13 11 9 7 5 3 1 -1 π 4 π 2 3″ 4 R X
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