Given a nonlinear, zero-memory device with transfer characteristic y(t) = x 3 (t), Find its output due

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Given a nonlinear, zero-memory device with transfer characteristic 

y(t) = x3(t),

Find its output due to the input

x(t) = cos (2πt) + cos (6πt)

List all frequency components and tell whether they are due to harmonic generation or inter modulation terms.

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