2. Consider the region S bounded by the curves 1 y=x+ and y=x- 14 a. x" for x≥1 Is the area of S finite or infinite? If finite, find the area. y=x+ y=x- 121 0 2 3 5 b. Now suppose we rotate S around the x-axis. Is the volume of the resulting solid finite or infinite? If finite, find the volume.

2. Consider the region S bounded by the curves 1 y=x+ and y=x- 14 a. x" for x≥1 Is the area of S finite or infinite? If finite, find the area. y=x+ y=x- 121 0 2 3 5 b. Now suppose we rotate S around the x-axis. Is the volume of the resulting solid finite or infinite? If finite, find the volume.

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.

Chapter8: Further Techniques And Applications Of Integration

Section8.3: Volume And Average Value

Problem 14E

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Question

2. Consider the region S bounded by the curves
1
y=x+ and y=x- 14
a.
x"
for x≥1
Is the area of S finite or infinite? If
finite, find the area.
y=x+
y=x-
121
0
2
3
5
b. Now suppose we rotate S around the x-axis. Is the volume of the resulting solid
finite or infinite? If finite, find the volume.

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