To Find: If the curve has tangent at the origin.
Answer to Problem 50E
Yes, there is a vertical tangent at
Explanation of Solution
Given information:
The curve is:
Concept used:
If the curve
In both the case the left- and right-hand limits should be same, either
Calculation:
First check if the two-sided quotient limit of
Since the left- and right-hand limits are equal and infinite. Hence vertical tangent exists.
Using graphing calculator, the graph of
It can be seen that at
Conclusion:
There exists a vertical tangent at
Chapter 1 Solutions
CALCULUS:GRAPHICAL,...,AP ED.-W/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