Determine whether each of the following signals is periodic. If a signal is periodic, determine its fundamental period: (a) x(t)=sin(10nt) + cos(√2nt) (b) x(t) = 3 sin(3000πt) +5 sin(2000ft) (c) x(t) = 2 cos(t/11) +5 sin(t/31) (d) x[n] = 2 cos(n/11) +5 sin(n/31) (e) x[n]=cos(wn/3)+sin(rn/4)

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Please do A,B,and C only with mathematical analysis and explain it

1.
Determine whether each of the following signals is periodic. If a
signal is periodic, determine its fundamental period:
(a) x(t) = sin(10nt) + cos(√2nt)
(b) x(t) = 3 sin(3000ft) + 5 sin(2000ft)
(c) x(t) = 2 cos(t/11) +5 sin(t/31)
(d) x[n] = 2 cos(n/11) +5 sin(n/31)
(e) x[n]=cos(mn/3) +sin(ūn/4)
Transcribed Image Text:1. Determine whether each of the following signals is periodic. If a signal is periodic, determine its fundamental period: (a) x(t) = sin(10nt) + cos(√2nt) (b) x(t) = 3 sin(3000ft) + 5 sin(2000ft) (c) x(t) = 2 cos(t/11) +5 sin(t/31) (d) x[n] = 2 cos(n/11) +5 sin(n/31) (e) x[n]=cos(mn/3) +sin(ūn/4)
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