Consider a signal x(t) such that where 0 < ω1 < ω2.(a) What is the general condition...

Consider a signal x(t) such that

where 0 < ω1 < ω2.

(a) What is the general condition that must be satisfied by ω2 − ω1 and ω2 + ω1 so that x(t) is periodic with period T0? Determine T0 and verify that x(t) = x(t + T0).

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(b) What does the result of (a) imply about ω1 and ω2? For example, must ω2 be an integer multiple of ω1?