You can use the Heaviside function defined in Exercise 1 to create a number of interesting...

You can use the Heaviside function defined in Exercise 1 to create a number of interesting plots.

a) Use the command sequence t = linspace(−3,3,1000); y = Heaviside(t−1); plot(t,y,'o') to create a “delay" of one second in turning “on” the switch represented by the Heaviside function.

b) Use the command sequence t = linspace(−3,3,1000); y = Heaviside (−t); plot(t,y,'o') to reflect the usual graph of the Heaviside function across the vertical axis.

c) Use the command sequence t = linspace(−3,3,1000); y = Heaviside(t + 1) − Heaviside (t − 1); plot (t,y,'o') to create a “pulse” of width two and height one, centered at the origin.

d) What sequence of commands will produce the pulse shown in Figure?

Figure A pulse function