Concept explainers
a)
To express: the strength
a)
Answer to Problem 21RE
Explanation of Solution
Given information:
The strength
Calculation:
Consider the formula:
Here
Diameter 10in.
Consider the diagram:
From the diagram,
To express the strength
Use
b)
To find: the domain of the function
b)
Answer to Problem 21RE
Domain of the unction is set of real numbers.
Explanation of Solution
The strength
The function for strength is
Domain of the function is all real numbers.
c)
To draw: a graph of
c)
Explanation of Solution
Given information:
The strength
Calculation:
To draw the graph of the function
d)
To find: the width that make the beam strongest.
d)
Answer to Problem 21RE
The beam strongest, the width will be 5.8in.
Explanation of Solution
Given information:
The strength
Calculation:
To make the beam strongest, use derivative with respect to
Differentiate with respect to
To make the beam strongest, the derivative must be equal to zero, i.e,
Therefore, to make the beam strongest, the width will be 5.8in.
Chapter 3 Solutions
Precalculus: Mathematics for Calculus - 6th 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