b) The shaded region W is bounded by the curve y = x² + 6 and the line x = 3 and 1 y =x +1 as shown in Figure 3. 2 y x = 3 15 y = x? + 6 1아 y =;x- 5. Figure 3 i) Find the volume of solid generated when the shaded region W is revolved about the line y = 0 using the Washer Method. ii) Find the volume of solid generated when the shaded region W is revolved about the line x = -3 using the Shell Method.

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
Section10.1: The Rectangular Coordinate System
Problem 40E: Find the exact volume of the solid that results when the region bounded in quadrant I by the axes...
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b) The shaded region W is bounded by the curve y = x² + 6 and the line x = 3 and
y =-x +1 as shown in Figure 3.
2
y
x = 3
15
y = x² + 6
10
ソ=*+1
5
w
10
Figure 3
i)
Find the volume of solid generated when the shaded region W is revolved about the
line y = 0 using the Washer Method.
ii) Find the volume of solid generated when the shaded region W is revolved about the
line x = -3 using the Shell Method.
Transcribed Image Text:b) The shaded region W is bounded by the curve y = x² + 6 and the line x = 3 and y =-x +1 as shown in Figure 3. 2 y x = 3 15 y = x² + 6 10 ソ=*+1 5 w 10 Figure 3 i) Find the volume of solid generated when the shaded region W is revolved about the line y = 0 using the Washer Method. ii) Find the volume of solid generated when the shaded region W is revolved about the line x = -3 using the Shell Method.
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