(a)
To decide: whether the given condition is easy to draw a polar equation or a Cartesian equation and write an equation for the curve.
(a)
Answer to Problem 21E
The Cartesian equation of the line is
It is more difficult to give the Cartesian equation for the curve.
Explanation of Solution
Given:
A line through the origin that makes an angle of
The curve would be more easily given by a polar equation
Or
It is more difficult to give the Cartesian equation for the curve.
Conclusion:
Therefore, theCartesian equation of the line is
It is more difficult to give the Cartesian equation for the curve.
(b)
To decide: whether the given condition is easy to draw a polar equation or a Cartesian equation and write an equation for the curve.
(b)
Answer to Problem 21E
The curve would be more easily given by Cartesian equation. Equation of the curve is
Explanation of Solution
Given:
A vertical line through the point (3.3)
Calculation:
The curve would be more easily given by Cartesian equation. Equation of the curve is
Conclusion:
The curve would be more easily given by Cartesian equation. Equation of the curve is
Chapter H.1 Solutions
Single Variable Calculus: Concepts and Contexts, Enhanced 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