Match the polar coordinates in the left column with their rectangular coordinates in the right column. If the polar coordinate on the left has no corresponding rectangular coordinate, place it in the "No Matches" category. Show your work please (3,0) (3, 3) Answer by dragging items here (3, 7) (3, ) (-3,0) Answer by dragging items here (3,) (-3v2, – ) (0, 3) O (-3, ) Answer by dragging items here (3, 3) No matches (3v2, F) Answer by dragging items here O (3, -T) O (-3/2, )

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...
icon
Related questions
Question
## Coordinate Matching Exercise

### Instructions:
Match the polar coordinates in the left column with their corresponding rectangular coordinates in the right column. If a polar coordinate on the left has no matching rectangular coordinate, place it in the "No Matches" category.

#### Polar Coordinates:
1. (3, 0)
2. (3, π)
3. (3, π/2)
4. (3, π/4)
5. (−3√2, −3π/4)
6. (−3, 3π/2)
7. (3√2, 9π/4)
8. (3, −π)
9. (−3√2, 3π/4)

#### Rectangular Coordinates:
- (3, 3)
- (−3, 0)
- (0, 3)
- No matches

**Show your work please:**

For each pair of coordinates, drag the polar coordinate from the left column and place it into the corresponding rectangular coordinate box in the right column or "No Matches" box if there is no corresponding match.

### Graph and Diagram Explanation:
There are no graphs or diagrams provided in this exercise. The task focuses on matching coordinate pairs based on their mathematical conversion principles from polar to rectangular form. The correct matches can be verified by converting the polar coordinates into rectangular coordinates using the formulas x = r cos(θ) and y = r sin(θ), and then comparing them to the given rectangular coordinates.
Transcribed Image Text:## Coordinate Matching Exercise ### Instructions: Match the polar coordinates in the left column with their corresponding rectangular coordinates in the right column. If a polar coordinate on the left has no matching rectangular coordinate, place it in the "No Matches" category. #### Polar Coordinates: 1. (3, 0) 2. (3, π) 3. (3, π/2) 4. (3, π/4) 5. (−3√2, −3π/4) 6. (−3, 3π/2) 7. (3√2, 9π/4) 8. (3, −π) 9. (−3√2, 3π/4) #### Rectangular Coordinates: - (3, 3) - (−3, 0) - (0, 3) - No matches **Show your work please:** For each pair of coordinates, drag the polar coordinate from the left column and place it into the corresponding rectangular coordinate box in the right column or "No Matches" box if there is no corresponding match. ### Graph and Diagram Explanation: There are no graphs or diagrams provided in this exercise. The task focuses on matching coordinate pairs based on their mathematical conversion principles from polar to rectangular form. The correct matches can be verified by converting the polar coordinates into rectangular coordinates using the formulas x = r cos(θ) and y = r sin(θ), and then comparing them to the given rectangular coordinates.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Knowledge Booster
Polar Coordinates
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning