The region in the graph shown is to be revolved about the x-axis to generate a solid. Which of the methods (disk, washer, and shell) could you use to find the volume of the solid? How many integrals would be required in each method? Explain. 4- 3- 2- x = 2y²-11 (1) Q Q G Can the disk method be used to find the volume? If so, how many integrals would be required? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The disk method can be used. It would require integrals because a cross section of the solid cannot be represented with a single disk for every x-value within the limits of integration. (Type a whole number.) B. The disk method can be used. It would require 1 integral because a cross section of the solid can be represented with a single disk for every x-value within the limits of integration. OC. The disk method cannot be used.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter65: Achievement Review—section Six
Section: Chapter Questions
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2.12
The region in the graph shown is to be revolved about the x-axis to generate a solid. Which of the
methods (disk, washer, and shell) could you use to find the volume of the solid? How many
integrals would be required in each method? Explain.
4-
3-
2-
x=2y²-1]
2-11-
(1)
Q
Q
Can the disk method be used to find the volume? If so, how many integrals would be required? Select the correct
choice below and, if necessary, fill in the answer box to complete your choice.
O A. The disk method can be used. It would require integrals because a cross section of the solid cannot be
represented with a single disk for every x-value within the limits of integration.
(Type a whole number.)
B. The disk method can be used. It would require 1 integral because a cross section of the solid can be
represented with a single disk for every x-value within the limits of integration.
OC. The disk method cannot be used.
Transcribed Image Text:The region in the graph shown is to be revolved about the x-axis to generate a solid. Which of the methods (disk, washer, and shell) could you use to find the volume of the solid? How many integrals would be required in each method? Explain. 4- 3- 2- x=2y²-1] 2-11- (1) Q Q Can the disk method be used to find the volume? If so, how many integrals would be required? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The disk method can be used. It would require integrals because a cross section of the solid cannot be represented with a single disk for every x-value within the limits of integration. (Type a whole number.) B. The disk method can be used. It would require 1 integral because a cross section of the solid can be represented with a single disk for every x-value within the limits of integration. OC. The disk method cannot be used.
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