Give two sets of polar coordinates for each of the points A-F in the figure. E C IN LA Im JU 4 5-6 1 2 3 4 5 Give two sets of polar coordinates for point A. Select all that apply. A. C. E. A. C. E. A. R|M C. (-4.4 Give two sets of polar coordinates for point B. Select all that apply. 5. 5T 5T 6 5 R|N 7μ B. (4,0) Зл (-2,-327 D. (-4,1) F. E. (-2,0) B. D. F. Give two sets of polar coordinates for point C. Select all that apply. B. Зл (5-7) 5. F. เก N TU 11x (5.1) 6 D. (4) (2) 3 41 5π
Give two sets of polar coordinates for each of the points A-F in the figure. E C IN LA Im JU 4 5-6 1 2 3 4 5 Give two sets of polar coordinates for point A. Select all that apply. A. C. E. A. C. E. A. R|M C. (-4.4 Give two sets of polar coordinates for point B. Select all that apply. 5. 5T 5T 6 5 R|N 7μ B. (4,0) Зл (-2,-327 D. (-4,1) F. E. (-2,0) B. D. F. Give two sets of polar coordinates for point C. Select all that apply. B. Зл (5-7) 5. F. เก N TU 11x (5.1) 6 D. (4) (2) 3 41 5π
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:**Educational Website Content: Polar Coordinates Exercise**
### Polar Coordinate System
The figure on the left illustrates a set of polar coordinates, with points A, B, C, D, E, and F plotted on the polar grid. The polar grid is composed of circles with a common center at the origin and lines radiating from the center at various angles (θ) measured in radians. The radial lines are marked with angles like π/6, π/4, π/3, indicating how the angle θ increases counterclockwise from the polar axis.
### Task
Your task is to identify two sets of polar coordinates for each of the points A-F labeled in the figure. For each point, multiple-choice options are provided to select the possible polar coordinates.
### Directions
1. **Identify Two Sets of Polar Coordinates for Point A:**
- Options Available:
- A. \( \left(-4, \frac{5\pi}{4}\right) \)
- B. \( (4, 0) \)
- C. \( \left(4, \frac{\pi}{3}\right) \)
- D. \( (-4, \pi) \)
- E. \( \left(-4, \frac{4\pi}{3}\right) \)
- F. \( \left(4, \frac{3\pi}{4}\right) \)
2. **Identify Two Sets of Polar Coordinates for Point B:**
- Options Available:
- A. \( \left(5, \frac{\pi}{6}\right) \)
- B. \( \left(5, \frac{\pi}{6}\right) \)
- C. \( \left(5, \frac{\pi}{2}\right) \)
- D. \( \left(-5, \frac{\pi}{3}\right) \)
- E. \( \left(-5, \frac{7\pi}{6}\right) \)
- F. \( \left(5, \frac{11\pi}{6}\right) \)
3. **Identify Two Sets of Polar Coordinates for Point C:**
- Options Available:
- A. \( \left(-2, \frac{3\pi}{2}\right) \)
- B. \( \left(2, \frac{4\pi}{3

Transcribed Image Text:**Polar Coordinates Selection Exercise**
### Instructions:
For each point (D, E, F), identify two sets of polar coordinates. Check all options that apply.
---
#### Point D: Select all that apply.
- A. \(\left(-3, -\frac{3\pi}{2}\right)\)
- B. \(\left(-3, \frac{4\pi}{3}\right)\)
- C. \((-3, 0)\)
- D. \(\left(3, \frac{\pi}{2}\right)\)
- E. \((3, \pi)\)
- F. \(\left(3, \frac{\pi}{6}\right)\)
---
#### Point E: Select all that apply.
- A. \(\left(4, \frac{5\pi}{4}\right)\)
- B. \(\left(-4, \frac{3\pi}{2}\right)\)
- C. \(\left(-4, \frac{7\pi}{6}\right)\)
- D. \(\left(4, \frac{\pi}{4}\right)\)
- E. \(\left(4, \frac{3\pi}{4}\right)\)
- F. \(\left(4, \frac{11\pi}{6}\right)\)
---
#### Point F: Select all that apply.
- A. \(\left(-4, \frac{2\pi}{3}\right)\)
- B. \(\left(4, \frac{\pi}{6}\right)\)
- C. \(\left(4, \frac{5\pi}{3}\right)\)
- D. \(\left(-4, \frac{\pi}{6}\right)\)
- E. \(\left(-4, \frac{7\pi}{6}\right)\)
- F. \(\left(4, \frac{4\pi}{3}\right)\)
---
Make sure to consider both the radius and the angle when selecting the correct polar coordinates for each point.
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