15-20 Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the given curves about the x-axis. 15. xy = 1, x = 0, y = 1, y = 3 16. y = √x, x = 0, y = 2 17. y = x³/2, y = 8, x = 0 18. x = -3y² + 12y - 9, x=0

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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17,19
15-20 Use the method of cylindrical shells to find the volume of
the solid obtained by rotating the region bounded by the given
curves about the x-axis.
y = 1, y = 3
x = 0,
15. xy = 1, x = 0,
16. y = √x,
17. y = x³/2, y = 8,
x = 0
18. x = -3y² + 12y - 9, x = 0
19. x = 1 + (y-2)²,
x = 2
20. x + y = 4, x = y² - 4y + 4
y = 2
Transcribed Image Text:15-20 Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the given curves about the x-axis. y = 1, y = 3 x = 0, 15. xy = 1, x = 0, 16. y = √x, 17. y = x³/2, y = 8, x = 0 18. x = -3y² + 12y - 9, x = 0 19. x = 1 + (y-2)², x = 2 20. x + y = 4, x = y² - 4y + 4 y = 2
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