Volume: The Shell Method 8 (a) 2π7 (2-3)(√5 - 1) dy C Which of the following integrals represents the volume of the solid formed by revolving the region bounded by the graphs of y = x³, y = 1 and x = 2 about the line x = 2? (b) T 7₁ [(x³ - 1² - 1³] dx #7 $₁² (2-x) (1³. (d) 2π (2-x)(x³ - 1) dx CHAPTER (e) None of these Applications of Integration (c) = [(2/5)²³ - 1²] dy π
Volume: The Shell Method 8 (a) 2π7 (2-3)(√5 - 1) dy C Which of the following integrals represents the volume of the solid formed by revolving the region bounded by the graphs of y = x³, y = 1 and x = 2 about the line x = 2? (b) T 7₁ [(x³ - 1² - 1³] dx #7 $₁² (2-x) (1³. (d) 2π (2-x)(x³ - 1) dx CHAPTER (e) None of these Applications of Integration (c) = [(2/5)²³ - 1²] dy π
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter8: Further Techniques And Applications Of Integration
Section8.4: Improper Integrals
Problem 47E
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Volume: The Shell Method
C
Which of the following integrals represents the volume of the solid formed by revolving the region bounded by
the graphs of y = x³, y = 1 and x = 2 about the line x = 2?
(c) + ((2/5)² - 13] dy
(a) 27
(d) 2π
+ √₁12-1
(a) T
(d) T
(a)
+S²₁
(2-y)(√5 - 1) dy
TS (10-)
256T
3
(2x)(x³ - 1) dx
GWhich
Which of the following integrals represents the volume the solid formed by revolving the region bounded by
the graphs of y = x³, y = 1 and x = 2 about the line y = 10?
#fa [1 (10x³)²] dx
864 T
5
(10 - y) (2 - 3y) dy
(b) T
(e) None of these
(b) T
#f₁ [81
- 1)² - 1²] dx
(e) None of these
(b)
[81 (10x³)²] dx
Cin
Find the volume of the solid generated by revolving the region bounded by the graphs of f(x) = √6x, x = 6,
and the x-axis about the y-axis.
(b) None of these
CHAPTER
32 T
5
(b) 32 T
(c) 2 T
Applications of Integration
4. Find the volume of the solid generated by revolving the region bounded by the graphs of f(x) = √2x, x = 2,
and the x-axis about the y-axis.
Foood
vind h
(a) None of these
S₁x(2 - 2/5) dy
(c) 432TT
(c)
16m
3
5. Find the volume of the solid generated by revolving the region bounded by the graphs of f(x) = 2√x, x = 4,
and the x-axis about the y-axis.
• (c)
(d) 108 T
256T
5
(d) 4T
(d) None of these](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3e1fa912-5e0c-4d6e-bcb6-bc3942e62084%2Fbdf6586f-cae1-4cb9-95d7-58611a9e08dc%2Fvwzyvfe_processed.jpeg&w=3840&q=75)
Transcribed Image Text:228
Volume: The Shell Method
C
Which of the following integrals represents the volume of the solid formed by revolving the region bounded by
the graphs of y = x³, y = 1 and x = 2 about the line x = 2?
(c) + ((2/5)² - 13] dy
(a) 27
(d) 2π
+ √₁12-1
(a) T
(d) T
(a)
+S²₁
(2-y)(√5 - 1) dy
TS (10-)
256T
3
(2x)(x³ - 1) dx
GWhich
Which of the following integrals represents the volume the solid formed by revolving the region bounded by
the graphs of y = x³, y = 1 and x = 2 about the line y = 10?
#fa [1 (10x³)²] dx
864 T
5
(10 - y) (2 - 3y) dy
(b) T
(e) None of these
(b) T
#f₁ [81
- 1)² - 1²] dx
(e) None of these
(b)
[81 (10x³)²] dx
Cin
Find the volume of the solid generated by revolving the region bounded by the graphs of f(x) = √6x, x = 6,
and the x-axis about the y-axis.
(b) None of these
CHAPTER
32 T
5
(b) 32 T
(c) 2 T
Applications of Integration
4. Find the volume of the solid generated by revolving the region bounded by the graphs of f(x) = √2x, x = 2,
and the x-axis about the y-axis.
Foood
vind h
(a) None of these
S₁x(2 - 2/5) dy
(c) 432TT
(c)
16m
3
5. Find the volume of the solid generated by revolving the region bounded by the graphs of f(x) = 2√x, x = 4,
and the x-axis about the y-axis.
• (c)
(d) 108 T
256T
5
(d) 4T
(d) None of these
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