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 -
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 -
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Q18
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
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
