a .
To write: a function that represents the volume V of the new bin.
a .
Answer to Problem 105E
Explanation of Solution
Given:
Current dimensions of bin: 2 feet by 3 feet by 4 feet
It is required to increase the volume of the bin 5 times.
Calculation:
Let each dimension is increased by the same amount x.
Then, new dimension of the bin is:
Then, new volume of the bin is:
The original volume of bin,
It is given that new volume is 5 timed the original volume. So,
b.
To find: the dimensions of the new bin.
b.
Answer to Problem 105E
4 feet by 5 feet by 6 feet
Explanation of Solution
Formula Used:
Calculation:
From part (a), the volume of new bin is given by:
Consider,
Now find zeros of
So,
Thus,
Hence, the dimension of new bin:
Thus, dimension of new bin: 4 feet by 5 feet by 6 feet
Chapter 2 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