Concept explainers
To graph: The two given parabolas and to find equations of the two lines that are each simultaneously tangent to both parabolas.
Answer to Problem 9PS
The required tangent lines are
Explanation of Solution
Given Information: Given parabolas are
Graphs:
The red colored graph is of
Calculation:
The two tangent lines are coincident if they have the same slope and same
For
Slope,
For
Slope,
Equating the slopes, i.e.,
Putting the value of
Putting the value of
Equating the
So, the tangent lines are:
and
Thus, the required tangent lines are
Chapter 12 Solutions
EBK PRECALCULUS W/LIMITS
- 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