18. Consider the region S between the curves y = 2³ and y = √32x. Which of the following represent the volume of the solid formed when S is rotated around the y-axis ? 1 = [² (₂² (a) T (26 - 32x) dx ** (32 S² (32r - r6) dr (c) T (e) π √₁² (₂³ dy 1024 = ² -1³) d₂ (i) None of these is correct (8) 1 - (b) π * (26 Jo (d) T S (f) T - 32x)dr [*(321-zº) dz dy 1024 - (1024-³) dy y (h) T -

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
Section8.3: Volume And Average Value
Problem 12E
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Q18
18. Consider the region S between the curves y = r³ and y = √32x. Which of the following
represent the volume of the solid formed when S is rotated around the y-axis ?
-32x) dx
) + S²
(а) п
(26
x [²
π (32r - r6)dr
(e) π √² (₂³ -
1
ㅠ
dy
² (1024-1³) dy
(i) None of these is correct
(g) T
1024
(b) T (x - 32x) dx
TS (20-
So
f) = √² (y² - 10/24) dy
(h) = ² (1024-1³) dy
ㅠ
-y
(d) T
(321-r)dr
(33
Transcribed Image Text:18. Consider the region S between the curves y = r³ and y = √32x. Which of the following represent the volume of the solid formed when S is rotated around the y-axis ? -32x) dx ) + S² (а) п (26 x [² π (32r - r6)dr (e) π √² (₂³ - 1 ㅠ dy ² (1024-1³) dy (i) None of these is correct (g) T 1024 (b) T (x - 32x) dx TS (20- So f) = √² (y² - 10/24) dy (h) = ² (1024-1³) dy ㅠ -y (d) T (321-r)dr (33
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