Chapter 4.6, Problem 56E

To determine

To determine graphic utility and damping factor of function in same viewing window.

Answer to Problem 56E

Damping Factor = $e^{-2x}$

Explanation of Solution

Given information: $f(x)=e^{-2x}\sin x$

Formula Used: Graphic Utility = For such equations, a graphing utility can often be used to investigate possible solutions. When a graphing utility is used to solve an equation, usually approximate solutions are obtained.

Damping Factor = When a trigonometric function is multiplied by another function, this other function is called the damping factor.

Calculation:

  $f(x)=e^{-2x}\sin x$

Damping Factor = $e^{-2x}$

Graph of $f(x)=e^{-2x}\sin x$

x	0	II	2 π
y	0	0	0