To state: The equation for the horizontal and vertical tangent lines to the curves if
Answer to Problem 23RE
The equation for the horizontal and vertical tangent lines are:
Explanation of Solution
Given information:
The given equation in polar
Consider the given equation:
If
Since the polar curves are shown in the
Now find the
Now consider,
And the slope is:
For horizontal line:
Now use a trigonometric equation solver to get the solution of the above equation and for those values of
These tangents are:
For vertical tangent line:
Now use a trigonometric equation solver to get the solution of the above equation and for those values of
These tangents are:
Chapter 10 Solutions
CALCULUS-W/XL ACCESS
- 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