(a)
To determine: The rectangular coordinates of the given polar coordinates. Also, plot each point with the given polar coordinates.
(a)
Answer to Problem 1E
The required corresponding point in the rectangular
Explanation of Solution
Given information:
The polar coordinate system:
Calculation:
The given polar coordinate system is
It is known that in a polar coordinate system if
Write the above coordinates as:
And,
Thus, the required corresponding point in the rectangular coordinate system is
The plotting of the point is shown below:
Hence, the required corresponding point in the rectangular coordinate system is
(b)
To determine: The rectangular coordinates of the given polar coordinates. Also, plot each point with the given polar coordinates.
(b)
Answer to Problem 1E
The required corresponding point in the rectangular coordinate system is
Explanation of Solution
Given information:
The polar coordinate system:
Calculation:
The given polar coordinate system is
It is known that in a polar coordinate system if
Write the above coordinates as:
And,
Thus, the required corresponding point in the rectangular coordinate system is
The plotting of the point is shown below:
Hence, the required corresponding point in the rectangular coordinate system is
(c)
To determine: The rectangular coordinates of the given polar coordinates. Also, plot each point with the given polar coordinates.
(c)
Answer to Problem 1E
The required corresponding point in the rectangular coordinate system is
Explanation of Solution
Given information:
The polar coordinate system:
Calculation:
The given polar coordinate system is
It is known that in a polar coordinate system if
Write the above coordinates as:
And,
Thus, the required corresponding point in the rectangular coordinate system is
The plotting of the point is shown below:
Hence, the required corresponding point in the rectangular coordinate system is
(d)
To determine: The rectangular coordinates of the given polar coordinates. Also, plot each point with the given polar coordinates.
(d)
Answer to Problem 1E
The required corresponding point in the rectangular coordinate system is
Explanation of Solution
Given information:
The polar coordinate system:
Calculation:
The given polar coordinate system is
It is known that in a polar coordinate system if
Write the above coordinates as:
And,
Thus, the required corresponding point in the rectangular coordinate system is
The plotting of the point is shown below:
Hence, the required corresponding point in the rectangular coordinate system is
Chapter 11 Solutions
Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)
Additional Math Textbook Solutions
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)
Thomas' Calculus: Early Transcendentals (14th Edition)
Calculus & Its Applications (14th Edition)
Calculus and Its Applications (11th Edition)
University Calculus: Early Transcendentals (3rd Edition)
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning