Concept explainers
a.
To prove: that g is even and h is odd.
a.

Explanation of Solution
Given Information:
Formula Used:
If a function g is even then
If a function h is odd then
Calculation:
First find
For
Hence g is even.
Now for
First we find
To find
Hence h is odd.
Proved
b.
To prove: that any function can be written as a sum of even and odd function.
b.

Answer to Problem 3E
Explanation of Solution
Given Information:
From part (a),
Calculation:
Adding
So,
c.
To write: each function as a sum of even and odd functions using the result of part (b).
c.

Answer to Problem 3E
Even function for
Even function for
Explanation of Solution
Given Information:
Calculation:
First find the even function
Now we will find the odd function
So even function for
Now
First find the even function
Now we will find the odd function
So even function for
Chapter 1 Solutions
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