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In Exercises 41-54, find the volume of the solid obtained by rotating the region enclosed by the graphs about the given axis. 41. y = x², y = 12 - x, y = 12-x, x = 0, about y = - about y = -2 word x ≥ 0

In Exercises 41-54, find the volume of the solid obtained by rotating the region enclosed by the graphs about the given axis. 41. y = x², y = 12 - x, y = 12-x, x = 0, about y = - about y = -2 word x ≥ 0

Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter65: Achievement Review—section Six
Section: Chapter Questions
Problem 51AR
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Can you help me solve 41? Thanks!
6 2 33. x = -3 A 42. y = x², y = 12 - x, y=x²+2 B x = 0, 2 FIGURE 13 In Exercises 35-40, find the volume of the solid obtained by rotating region B in Figure 13 about the given axis. 35. x-axis 36. y = -2 37. y = 6 38. y-axis Hint for Exercise 38: Express the volume as a sum of two integrals along the y-axis or use Exercise 32. 39. x = 2 34. x = 2 40. x = -3 ils over mod In Exercises 41-54, find the volume of the solid obtained by rotating the region enclosed by the graphs about the given axis. 41. y = x², y = 12-x, x = 0, about y = -2 about y = 15 56. Th the line lowing x ≥ 0 In kn lu C t
Transcribed Image Text:6 2 33. x = -3 A 42. y = x², y = 12 - x, y=x²+2 B x = 0, 2 FIGURE 13 In Exercises 35-40, find the volume of the solid obtained by rotating region B in Figure 13 about the given axis. 35. x-axis 36. y = -2 37. y = 6 38. y-axis Hint for Exercise 38: Express the volume as a sum of two integrals along the y-axis or use Exercise 32. 39. x = 2 34. x = 2 40. x = -3 ils over mod In Exercises 41-54, find the volume of the solid obtained by rotating the region enclosed by the graphs about the given axis. 41. y = x², y = 12-x, x = 0, about y = -2 about y = 15 56. Th the line lowing x ≥ 0 In kn lu C t
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