(a)
To check: Whether the product of two even functions always even or not.
(a)
Answer to Problem 72E
Yes, the product of two even functions is always an even function.
Explanation of Solution
Given information: Consider two even functions.
Assume that two functions
Now, check the property of even function for the product of both the functions.
So, the product of both the even functions is even.
Therefore, the product of two even functions is always an even function.
(b)
To check: The type of the function of product of two odd functions.
(b)
Answer to Problem 72E
The product of two odd functions is always even function.
Explanation of Solution
Given information: Consider any two odd functions.
Assume that two function
Now, check the property of even function for the product of both the functions.
So, the product of both the odd functions is an even function.
Therefore, the product of two odd functions is always an even function.
Chapter 1 Solutions
Calculus: Graphical, Numerical, Algebraic
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