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Chapter 3 Elementary Signals
3.9 Exercises
1. Evaluate the following functions:
§
a.sin tG t – S· ---
© 6 ¹
§
b.cos 2tG t – S· ---
© 4 ¹
§
c.cos 2 tG t – S· ---
© 2 ¹
§
d.tan 2tG t – S· ---
© 8 ¹
f 2 – t
e. ³ t e G t – 2 t
d
– f
2 1 § S·
f.sin tG t – ---
© 2 ¹
2.
a. Express the voltage waveform vt shown in Figure 3.24, as a sum of unit step functions for
t
the time interval 0 7 . s
b. Using the result of part (a), compute the derivative of vt , and sketch its waveform.
V
vt vt
20
e – 2t
10
0
1 2 3 4 5 6 7 ts
10
20
Figure 3.24. Waveform for Exercise 2
3-20 Circuit Analysis II with MATLAB Applications
Orchard Publications
