a. Find all the intersection points of the following curves. b. Find the area of the entire region that lies within both curves. r = 23 +23 sin 0 and r= 23 + 23 cos (

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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b. The area of the entire region that lies within both curves is ….. square units. (Exact Answer)
### Problem Description

1. **Find all the intersection points of the following curves:**
   - \( r = 23 + 23 \sin \theta \)
   - \( r = 23 + 23 \cos \theta \)

2. **Find the area of the entire region that lies within both curves.**

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### Problem Details

1. **Identify all the intersection points.** Use 0 for the \(\theta\) coordinate of the pole if it's an intersection point.
   - [Input Box] (Type an ordered pair. Type the coordinate for \(\theta\) in radians. Use a comma to separate answers as needed. Type an exact answer, using \(\pi\) as needed.)
Transcribed Image Text:### Problem Description 1. **Find all the intersection points of the following curves:** - \( r = 23 + 23 \sin \theta \) - \( r = 23 + 23 \cos \theta \) 2. **Find the area of the entire region that lies within both curves.** --- ### Problem Details 1. **Identify all the intersection points.** Use 0 for the \(\theta\) coordinate of the pole if it's an intersection point. - [Input Box] (Type an ordered pair. Type the coordinate for \(\theta\) in radians. Use a comma to separate answers as needed. Type an exact answer, using \(\pi\) as needed.)
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