(a)
To show: that a polynomial
(a)
Explanation of Solution
Given information:
Recall that a function
Calculation:
Need to show that a polynomial
Let us consider,
Observe that all the powers of
Also, there is no constant term while a constant is an even power of
To check the even or odd, replace
So,
Therefore, a polynomial
(b)
To show: that a polynomial
(b)
Explanation of Solution
Given information:
Recall that a function
Calculation:
Need to show that a polynomial
Let us consider,
To check the even or odd, replace
So,
Therefore, a polynomial
(c)
To show: that a polynomial
(c)
Explanation of Solution
Given information:
Recall that a function
Calculation:
Need to show that a polynomial
Let us consider,
To check the even or odd, replace
So,
Therefore, a polynomial
(d)
To express: the given function.
(d)
Answer to Problem 77E
Where
Explanation of Solution
Given information:
Recall that a function
Given function:
Calculation:
Consider the function,
Need to express the function as the sum of odd function and even function.
Rewrite
Where
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