To identify: The correct option.
Answer to Problem 56E
D
Explanation of Solution
Given information:
From the given figure, it is clear that both the parabolas are symmetric with respect to
Hence, if
Consider that the right-hand vertices have the coordinates
So, the width of the rectangle is
Therefore, the area (A) of the rectangle is written as shown below.
Differentiate the obtained equation with respect to
Equate the obtained derivative to 0 and solve for
Since
So,
Substitute
As a result, option (D) is correct.
Chapter 4 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