Chapter 4.6, Problem 4E

To determine

For the function $f(x)=g(x)·\sin x$ , $g(x)$ is called the _______ factor of the function $f(x)$ .

Answer to Problem 4E

  $\boxed{\text{damping}}$ .

Explanation of Solution

Given information:

For the function $f(x)=g(x)·\sin x$ , $g(x)$ is called the _______ factor of the function $f(x)$ .

Calculation:

We know that, when the function $f(x)$ is given as a product of two functions, such that one of the function is a trignometric function, then the other function is known as the damping factor of the function.

For example,

  $f(x)=x^2\sin x$

We have a function,

So, in this case, $x^2$ is a damping factor of the function .

Hence, for the function given by is called the $\boxed{\text{damping}}$ factor of the function