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Plot the point (-3,2x), given in polar coordinates, and find other polar coordinates (r,0) of this same point for which the following are true. (a) r> 0, -2s0 <0 (b) r<0, 0≤0<2 (c) r>0, 2n≤0<4*

Plot the point (-3,2x), given in polar coordinates, and find other polar coordinates (r,0) of this same point for which the following are true. (a) r> 0, -2s0 <0 (b) r<0, 0≤0<2 (c) r>0, 2n≤0<4*

Advanced Engineering Mathematics
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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What are the new values of (a) , (b) and (c)

The problem involves a point \( (-1, \frac{3\pi}{2}) \) given in polar coordinates. The goal is to find other polar coordinates \( (r, \theta) \) for the same point that satisfy certain conditions. ### Instructions: 1. Choose the graph that correctly plots the point \( (-1, \frac{3\pi}{2}) \). 2. For the same point on the graph, find new values of \( (r, \theta) \) for which: - \( r > 0 \), \( -2\pi \leq \theta < 0 \) ### Choices: - **Graph A:** - Circle with an arrow pointing to the left. - Labeled angles: \( +x \), \( +y \). - **Graph B:** *(Highlighted as Correct)* - Circle with an arrow pointing vertically downwards. - Labeled angles: \( +x \), \( -y \). - **Graph C:** - Circle with an arrow pointing upwards. - Labeled angles: \( -x \), \( -y \). - **Graph D:** - Circle with an arrow pointing upwards. - Labeled angles: \( +x \), \( +y \). ### Additional Notes: - The polar coordinates \( (-1, \frac{3\pi}{2}) \) are to be interpreted on the standard polar coordinate plane. - The objective is to manipulate the coordinates while adhering to the given conditions for \( r \) and \( \theta \).
Transcribed Image Text:The problem involves a point \( (-1, \frac{3\pi}{2}) \) given in polar coordinates. The goal is to find other polar coordinates \( (r, \theta) \) for the same point that satisfy certain conditions. ### Instructions: 1. Choose the graph that correctly plots the point \( (-1, \frac{3\pi}{2}) \). 2. For the same point on the graph, find new values of \( (r, \theta) \) for which: - \( r > 0 \), \( -2\pi \leq \theta < 0 \) ### Choices: - **Graph A:** - Circle with an arrow pointing to the left. - Labeled angles: \( +x \), \( +y \). - **Graph B:** *(Highlighted as Correct)* - Circle with an arrow pointing vertically downwards. - Labeled angles: \( +x \), \( -y \). - **Graph C:** - Circle with an arrow pointing upwards. - Labeled angles: \( -x \), \( -y \). - **Graph D:** - Circle with an arrow pointing upwards. - Labeled angles: \( +x \), \( +y \). ### Additional Notes: - The polar coordinates \( (-1, \frac{3\pi}{2}) \) are to be interpreted on the standard polar coordinate plane. - The objective is to manipulate the coordinates while adhering to the given conditions for \( r \) and \( \theta \).
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