The polar coordinates of a certain point are (r = 3.15 cm, 0 = 262°). (a) Find its Cartesian coordinates x and y. x= -0.438 cm y = |-3.12 cm (b) Find the polar coordinates of the points with Cartesian coordinates (-x, y). = 10.17 Your response differs from the correct answer by more than 100%. cm = 82 The response you submitted has the wrong sign. (c) Find the polar coordinates of the points with Cartesian coordinates (-2x, -2y). = 20.44 Your response differs from the correct answer by more than 100%. cm 225 The response you submitted has the wrong sign. (d) Find the polar coordinates of the points with Cartesian coordinates (3x, -3y). = 4.24 Your response differs from the correct answer by more than 10%. Double check your calculations. cm e = -45

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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The polar coordinates of a certain point are \((r = 3.15 \ \text{cm}, \ \theta = 262^\circ)\).

### (a) Find its Cartesian coordinates \(x\) and \(y\).
- \(x = -0.438 \ \text{cm}\) ✓
- \(y = -3.12 \ \text{cm}\) ✓

### (b) Find the polar coordinates of the points with Cartesian coordinates \((-x, y)\).
- \(r = 10.17\) ✗
  - *Your response differs from the correct answer by more than 100%., cm*
- \(\theta = 82^\circ\) ✗
  - *The response you submitted has the wrong sign.*

### (c) Find the polar coordinates of the points with Cartesian coordinates \((-2x, -2y)\).
- \(r = 20.44\) ✗
  - *Your response differs from the correct answer by more than 100%., cm*
- \(\theta = 225^\circ\) ✗
  - *The response you submitted has the wrong sign.*

### (d) Find the polar coordinates of the points with Cartesian coordinates \((3x, -3y)\).
- \(r = 4.24\) ✗
  - *Your response differs from the correct answer by more than 10%. Double check your calculations., cm*
- \(\theta = -45^\circ\) ✗

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Transcribed Image Text:The polar coordinates of a certain point are \((r = 3.15 \ \text{cm}, \ \theta = 262^\circ)\). ### (a) Find its Cartesian coordinates \(x\) and \(y\). - \(x = -0.438 \ \text{cm}\) ✓ - \(y = -3.12 \ \text{cm}\) ✓ ### (b) Find the polar coordinates of the points with Cartesian coordinates \((-x, y)\). - \(r = 10.17\) ✗ - *Your response differs from the correct answer by more than 100%., cm* - \(\theta = 82^\circ\) ✗ - *The response you submitted has the wrong sign.* ### (c) Find the polar coordinates of the points with Cartesian coordinates \((-2x, -2y)\). - \(r = 20.44\) ✗ - *Your response differs from the correct answer by more than 100%., cm* - \(\theta = 225^\circ\) ✗ - *The response you submitted has the wrong sign.* ### (d) Find the polar coordinates of the points with Cartesian coordinates \((3x, -3y)\). - \(r = 4.24\) ✗ - *Your response differs from the correct answer by more than 10%. Double check your calculations., cm* - \(\theta = -45^\circ\) ✗ **Need Help?** [Read It]
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