A damped sine wave is a sinusoidal function whose amplitude $($A$)$ approaches zero as time increases.

$A(t)=e^{-t}(sin(2t))$

Write a program With c that will make use of a user$-$ defined function that computes a single data point $($amplitude$)$ value when the input is a single value of time $($ t $).$

In main call the function to generate $100$ data points using the following formula for time:

$t=\frac{k-1}{10}$

Where $1k100.$

Your program must display time and the amplitude in tabular form, make sure to use table header. Also store the values of time and amplitude to a file called "DampedSine.txt$",$ save the file in the current working directory.