Homework Assignment 11
Due Nov. 6, 1998

When plotting functions using MATLAB remember the following considerations:

1. Decide on a time range -- usually t_min = 0, and t_max is determined by:
   • When plotting a exponential function or damped sinusoid, t_max = 5 T_C.
   • When plotting multiple exponentials, t_max = 5 times the largest T_C
   • When plotting a sinusoid, plot at least two periods -- t_max = 2 T₀
2. Define a time vector t = 0:tmax/1000:tmax which breaks your time range into about 1,000 parts.
3. Write your funtion pretty much as it is written on paper, but remember that e^{a t} is written as exp(a*t)
4. Remember that all angles should be in radians, not degrees. To convert from degrees to radians, multiply by pi and divide by 180.
5. When multiplying two vectors, use ".*" rather than "*". For example, to calculate cos(a t) sin(b t) write cos(a*t) .* sin(b*t)
6. Use the functions xlabel('t (seconds)'), ylabel('v (volts)'), and title('Plot of e^{-100 t}') to annotate your plots.
7. Here is an example

1. Use MATLAB to plot the function v(t) = 5 [1 - e ^{-100 t} ] u (t ).
2. Use MATLAB to plot the function v(t) = 2 e^{-50 t} sin(500 t) u(t)
3. Use MATLAB to plot the function v(t) = 100(e^{-1000 t} - e^{-500 t}).
4. Problem 5-30.