To identify: The correct option.
Answer to Problem 55E
B
Explanation of Solution
Given information: The hypotenuse of a right triangle is 10.
Consider the other two sides of the right triangle as
So,
Now, write the area(A) of a triangle.
So,
Differentiate the obtained equation with respect to
Equate the obtained derivative to 0 and solve for
Note that the value of
Differentiate the equation,
Find the value of the obtained derivative at
Since at
Now, substitute
Now, determine the required area by substituting
As a result, option (B) 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