Concept explainers
a.
Find dimensions of the open box.
a.
Answer to Problem 111E
Explanation of Solution
Calculation:
an open box from a rectangular piece of material,
It is given by cutting equal squares from the corners of the box .
Hence , the dimensions of the open box be
b.
Determine the domain of the function.
b.
Answer to Problem 111E
Explanation of Solution
Calculation:
Volume
Now domain of Volume
Hence, the domain of
c.
Sketch the graph of the function and approximate the dimensions of the box that yield a maximum volume.
c.
Answer to Problem 111E
Explanation of Solution
Calculation:
Volume the graph of
To find the maximum value
By solving quadratic function ,consider positive value of
Hence the dimensions of the box is,
d.
Find values of
d.
Answer to Problem 111E
Explanation of Solution
Calculation:
Find values of
To find the value of
Possible rational zeroes,
Therefor lot of zeroes possibility , now we will draw the graph of ,
It is observed from the graph that, rational zeroes of
Hence, the values of
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