Use any method to find the volume, V, of the solid obtained by rotating the region enclosed by the curves about the given axis. y = 2x² + 12, y = 16x-2, y-axis (Express numbers in exact form. Use symbolic notation and fractions where needed.) V = 7104 3
Use any method to find the volume, V, of the solid obtained by rotating the region enclosed by the curves about the given axis. y = 2x² + 12, y = 16x-2, y-axis (Express numbers in exact form. Use symbolic notation and fractions where needed.) V = 7104 3
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Use any method to find the volume, V, of the solid obtained by rotating the region enclosed by the curves about the given axis.
y = 2x² + 12, y =
= 16x2, y-axis
(Express numbers in exact form. Use symbolic notation and fractions where needed.)
V =
Incorrect
7104T
3
Feedback
You have not correctly calculated the
volume of the solid.
Use the Shell Method to determine the
volume of the solid. Slice the region
vertically. Then the volume of the solid
obtained by rotating the region under
y = f(x) over the interval [a, b] about
an axis is
V =
2π
b
1.° (m
(radius) (height of sh](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7755900b-a0ef-4f9e-804b-2d13af458c93%2F324965a8-308d-41f4-8fda-c77658de3e9a%2F95qoh38_processed.png&w=3840&q=75)
Transcribed Image Text:Use any method to find the volume, V, of the solid obtained by rotating the region enclosed by the curves about the given axis.
y = 2x² + 12, y =
= 16x2, y-axis
(Express numbers in exact form. Use symbolic notation and fractions where needed.)
V =
Incorrect
7104T
3
Feedback
You have not correctly calculated the
volume of the solid.
Use the Shell Method to determine the
volume of the solid. Slice the region
vertically. Then the volume of the solid
obtained by rotating the region under
y = f(x) over the interval [a, b] about
an axis is
V =
2π
b
1.° (m
(radius) (height of sh
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