1. Determine the average and RMS values for the function:
y(t) = 5 + sin 6
π
t
over time periods (a) 0 – 0.1 seconds; (b) 0.4 – 0.5 seconds; and (c) 0 – 5 seconds. Comment
on the nature and meaning of the results in terms of analysis of dynamics signals.

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2. For the following sine and cosine functions, determine the period, the frequency in hertz,
and the circular frequency in radians / second.
(a) sin 4
π
t
(b) 8 cosine 80t
(c) 100 sin 10t
The period, frequency in Hz, and circular frequency in rad/s are found from
ω
= 2
π
f= 2
π
/T
3. Find the Fourier series of the function shown in the following figure, assuming that the
function has a period of 2
π
. Plot an accurate graph of the first three partial sums of the
resulting Fourier series.
y(t)=0 for
π≤t≤0
y(t)= -
1 for 0≤t≤π
/2
y(t)=1 for
π/2≤t≤π