2. Find revolving the volume of the solid by bound by the graph of: y=x² +11 y=0 x=0, and X=1 about the y-axis, keep 4 decimals
2. Find revolving the volume of the solid by bound by the graph of: y=x² +11 y=0 x=0, and X=1 about the y-axis, keep 4 decimals
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
#2
![**Problem 1:**
Find the area of the region.
Given:
\[ f(x) = 6\sin x \]
\[ g(x) = 6\cos 2x \]
Range:
\[ -\frac{\pi}{2} \leq x \leq \frac{\pi}{6} \]
*Note: Keep 4 decimals.*
---
**Problem 2:**
Find the volume of the solid by revolving the region bound by the graph of:
\[ y = x^2 + 11 \]
\[ y = 0 \]
\[ x = 0 \]
\[ x = 1 \]
*Rotate around the y-axis. Keep 4 decimals.*](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe35298e5-10ed-452c-b18c-35d9ef29ce25%2F3d1fd3ba-38cb-4d35-ae58-def443e5d98c%2Ftj5a1qp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem 1:**
Find the area of the region.
Given:
\[ f(x) = 6\sin x \]
\[ g(x) = 6\cos 2x \]
Range:
\[ -\frac{\pi}{2} \leq x \leq \frac{\pi}{6} \]
*Note: Keep 4 decimals.*
---
**Problem 2:**
Find the volume of the solid by revolving the region bound by the graph of:
\[ y = x^2 + 11 \]
\[ y = 0 \]
\[ x = 0 \]
\[ x = 1 \]
*Rotate around the y-axis. Keep 4 decimals.*
Expert Solution
Step 1
Using formula for volume of solid by revolution about y -axis we can find the solution
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