73.
Let x(t) be the input and y(t) be the output of a continuous time system. Match the system properties P1, P2 and P3 with system relations R1, R2, R3, R4
Properties
P1: Linear but NOT time-invariant
P2: Time-invariant but NOT linear
P3: Linear and time-invariant
Relations
R1: y(t) = t2x(t)
R2: y(t)= t|x(t)|
R3: y(t) = |x(t)|
R4: y(t) = x(t - 5)

77.
Given that x1(t) = ek1tu(t) and x2(t) = e-k2tu(t). Which one of the following gives their convolution?

78.
What is the magnitude square function of a normalized Butterworth filter to 1 rad/sec cut-off frequency as

79.
If F(s) and G(s) are the Laplace transform of f(t) and g(t), then their product F(s).G(s) = H(s), where H(s) is the Laplace transform of h(t), is defined as

80.
Which one of the following statements is correct for the given system?
$$y\left( n \right) = {x^2}\left( n \right) + \frac{1}{{{x^2}\left( {n - 1} \right)}}$$

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