1. A damped sinusoid is described by the equation

y= e-sin

where is called the damping factor and is an angle.

1. Use linspace to create a vector called myangle containing 101 points from 0 to 6p.
2. Create a vector called lambda containing two damping factors, 0.05 and 0.20.
3. Create another vector called response1 using the equation shown above with the first value of lambda. The variable myangle corresponds to the variable in the equation. In MATLAB the exponential function is exp.
4. Plot response1 vs. myangle with a solid red line with no symbols.
5. Label the x axis Angle (radians)
6. Label the y axis Non-dimensional Amplitude
7. Title the plot Damped Response
8. Add a grid.
1. Create another vector called response2 using the same equation, but using the second value of lambda.
10. Add another line to the plot containing response2. Use a black dashed line with circles for symbols. (Dont forget hold on before plotting the line, otherwise the first line will be erased.)
11. Create a legend. Label the first line 0.05 Damping Factor and the second 0.20 Damping Factor.
50. Write the result to a file in png format.