Concept explainers
a)
To find: The coordinates of points
a)
Answer to Problem 72RE
Points are
Explanation of Solution
Given: Equation of ellipse
Concept Used: Differentiation with respect to
Calculation: We have equation
Differentiate above equation with respect to
Tangent will be horizontal when numerator of the derivative equals to 0 or
Put
Now put
Conclusion: Hence, the points where the tangent lines are horizontal are
b)
To find: The coordinates of points
b)
Answer to Problem 72RE
Points are
Explanation of Solution
Given: Equation of ellipse
Concept Used: Differentiation with respect to
Calculation: We have equation
Differentiate above equation with respect to
Tangent will be vertical when denominator of
Now, substitute the
Now put
Conclusion: Hence, the points where the tangent is vertical are
Chapter 4 Solutions
Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)
Additional Math Textbook Solutions
Calculus & Its Applications (14th Edition)
University Calculus: Early Transcendentals (3rd Edition)
Calculus, Single Variable: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (2nd Edition)
Precalculus
- 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