Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![### Homework: Q4 CW #1: Section 9.1
#### Score: 0 of 1 pt
#### 9.1.6
Determine whether the following statement is true or false.
"In the polar coordinates (r,θ), r can be negative."
Choose the correct answer below:
- [Radio button] False
- [Radio button] True
(NOTE: The "False" option is currently selected and marked incorrect, as indicated by the red 'X' beside the score section.)
### Explanation:
This question pertains to polar coordinates, a two-dimensional coordinate system in which each point on a plane is determined by an angle and a distance from a reference point. The coordinates are given as (r,θ), where:
- \( r \) represents the radial distance from the origin, which can be positive, negative, or zero.
- \( θ \) represents the angle measured from a reference direction.
The correct answer to whether \( r \) can be negative in polar coordinates is "True." A negative value of \( r \) indicates that the point is in the opposite direction from the angle \( θ \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1a5cc470-46ca-427c-a5a1-e87a305bfaad%2F442928ee-6644-4270-ac55-f9811c6af34f%2Fvj0dc1p_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Homework: Q4 CW #1: Section 9.1
#### Score: 0 of 1 pt
#### 9.1.6
Determine whether the following statement is true or false.
"In the polar coordinates (r,θ), r can be negative."
Choose the correct answer below:
- [Radio button] False
- [Radio button] True
(NOTE: The "False" option is currently selected and marked incorrect, as indicated by the red 'X' beside the score section.)
### Explanation:
This question pertains to polar coordinates, a two-dimensional coordinate system in which each point on a plane is determined by an angle and a distance from a reference point. The coordinates are given as (r,θ), where:
- \( r \) represents the radial distance from the origin, which can be positive, negative, or zero.
- \( θ \) represents the angle measured from a reference direction.
The correct answer to whether \( r \) can be negative in polar coordinates is "True." A negative value of \( r \) indicates that the point is in the opposite direction from the angle \( θ \).
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