2. Find the volume of the solid formed by revolving the region bounded by the graphs of y = √x and y = x² about the axis as shown in the figure. R=√√√x 1 y (0.0) Solid of revolution y=√x Solid of revolution Ar Plane region >r = x² (1, 1) y=x² 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.
Chapter8: Further Techniques And Applications Of Integration
Section8.3: Volume And Average Value
Problem 12E
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2. Find the volume of the solid formed
by revolving the region bounded by
the graphs of y = √x and y = x²
about the axis as shown in the figure.
1
R=√√√√x²
1
(0,0)
Solid of
revolution
y=vx
Solid of revolution
Ar
Plane region
r=x²
|y=x²
I
(1, 1)
1
-X
Transcribed Image Text:2. Find the volume of the solid formed by revolving the region bounded by the graphs of y = √x and y = x² about the axis as shown in the figure. 1 R=√√√√x² 1 (0,0) Solid of revolution y=vx Solid of revolution Ar Plane region r=x² |y=x² I (1, 1) 1 -X
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