3 Sketch Polar e quacetion r=2-3 sin ♡

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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**Instructions for Graphing a Polar Equation**

1. **Approximations for Square Roots:**
   - \(\sqrt{2} \approx 1.4\)
   - \(\sqrt{3} \approx 1.7\)

   Use these approximations to help with graphing calculations.

2. **Task:**
   - Make a table using \(\pi\) (pi) from 0 to \(2\pi\).

3. **Sketch the Polar Equation:**
   - Equation: \(r = 2 - 3 \sin \phi\)

**Explanation:**
- You will create a table of values with angles (\(\phi\)) ranging from 0 to \(2\pi\).
- Calculate the corresponding \(r\) values using the given equation.
- Use the calculated \((r, \phi)\) pairs (in polar coordinates) to sketch the graph.
Transcribed Image Text:**Instructions for Graphing a Polar Equation** 1. **Approximations for Square Roots:** - \(\sqrt{2} \approx 1.4\) - \(\sqrt{3} \approx 1.7\) Use these approximations to help with graphing calculations. 2. **Task:** - Make a table using \(\pi\) (pi) from 0 to \(2\pi\). 3. **Sketch the Polar Equation:** - Equation: \(r = 2 - 3 \sin \phi\) **Explanation:** - You will create a table of values with angles (\(\phi\)) ranging from 0 to \(2\pi\). - Calculate the corresponding \(r\) values using the given equation. - Use the calculated \((r, \phi)\) pairs (in polar coordinates) to sketch the graph.
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