Find the võlume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 8 sin(x), y = 8 cos(x), 05 xs; about y = -1 4
Find the võlume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 8 sin(x), y = 8 cos(x), 05 xs; about y = -1 4
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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
Transcribed Image Text:**Find the Volume of the Solid**
To determine the volume \( V \) of the solid obtained by rotating the region bounded by the specified curves about the given line, use the following functions and parameters:
- Curves:
- \( y = 8 \sin(x) \)
- \( y = 8 \cos(x) \)
- Interval:
- \( 0 \leq x \leq \frac{\pi}{4} \)
- Axis of rotation:
- about \( y = -1 \)
To solve this problem, apply the method of discs or washers, integrating over the specified range.
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