3. s) Use the same curves from problem 2: y² - 3 = x and a line y = x - 3, which are shown in the graph below. Set up the integral(s) that represent the volume of the solid generated when a region bounded the shaded region revolved about a line. The curves and intersecting points are labelled on the graph given below. a. If the shaded region is revolved about the x-axis. Set up the integration for volume (-3,0) (0, -3) b.) If the shaded region is revolved about the x = 8 (vertical line). Set up the integration for volume calculation with Disk/washer method. (-3,0) (0,-3) 43,0) -2)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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3. 5) Use the same curves from problem 2: y² - 3 = x and a line y = x - 3, which are
shown in the graph below. Set up the integral(s) that represent the volume of the solid
generated when a region bounded the shaded region revolved about a line. The curves and
intersecting points are labelled on the graph given below.
a. If the shaded region is revolved about the x-axis. Set up the integration for volume
(-3,0)
(0,-3)
b.) If the shaded region is revolved about the x = 8 (vertical line). Set up the integration
for volume calculation with Disk/washer method.
(-3,0)
(0,-3)
43,0)
Transcribed Image Text:3. 5) Use the same curves from problem 2: y² - 3 = x and a line y = x - 3, which are shown in the graph below. Set up the integral(s) that represent the volume of the solid generated when a region bounded the shaded region revolved about a line. The curves and intersecting points are labelled on the graph given below. a. If the shaded region is revolved about the x-axis. Set up the integration for volume (-3,0) (0,-3) b.) If the shaded region is revolved about the x = 8 (vertical line). Set up the integration for volume calculation with Disk/washer method. (-3,0) (0,-3) 43,0)
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