Concept explainers
a.
To find: the extreme value of function.
a.
Answer to Problem 43E
the max value is
Explanation of Solution
Given information:
The function is
Calculation: to find the extreme value, differentiate the function because function has no end points,
Now, equal the
Substitute the value in the function,
Thus, the max value is
b.
To find: the volume by the value occur in part (a).
b.
Answer to Problem 43E
The largest volume of the box is
Explanation of Solution
Given information:
The function is
Calculation: from the part (a), the value is
Thus, the max value is
c.
To graph: the function.
c.
Explanation of Solution
Given information:
The function is
Graph: to graph the function, use the point plotting method,
x | |
Now by plotting the points and join the points smoothly,
The graph can be obtained as:
Interpretation: from the above graph it can be observed that the maximum volume of the box is
Chapter 5 Solutions
Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)
Additional Math Textbook Solutions
Algebra and Trigonometry (6th Edition)
Thinking Mathematically (6th Edition)
Calculus: Early Transcendentals (2nd Edition)
Pre-Algebra Student Edition
Elementary Statistics: Picturing the World (7th Edition)
Basic Business Statistics, Student Value Edition
- 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