Q. If v(t) = 0 for t < 0 and v(t) = e^(-at) for t ≥ 0, V(jω) =

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Q. Consider the following equation.

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Q. Which of the following can be impulse response of a casual system?

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Q. The Laplace transform of sin ∝ t is

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Q. Fourier transform of the unit step function (i.e., u(t) = 1 for t ≥ 0 and u(t) = 0 for t < 0) is

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Q. The dirac delta function δ(t) is defined as

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Q. Laplace transforn of sin (ωt + a) is

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Q. If x^k = 2^k for k ≤ 0 and xk = 0 for k ≥ 0, Z transform of the sequence x is

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Q. Final value theroem is for sequence x[n] is

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Q. The Laplace transform of (tⁿ-1) where n is integer is

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Q. The data about p the pull required to lift a weight wby a pulley block is given below. The linear law p = a + bw is

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Q. Average power for following signal is

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Q. Which is the Laplace transform of x(t) = -e^(2t) ∪(t) ⊕ t ∪(t)?

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Q. For a signal x(t) the F.T. is X(f). Then inverse F.T of X(3f + 2) is given by

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Q. An experiment is repeated N times. One event A occurs Nᴀ times. Then

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Q. If f(t) is an even function, F(jω) =

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Q. If Laplace transform of f(t) is F(s), then £[tf(t)] =

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Q. The minimum sampling frequency in sample/sec. required to reconstruct the following signal from its samples without distortion would be

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Q. The function shown in the given Figure can be written as

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Q. In a network V(s) = Z(s) I(s) where V(s), Z(s) and I(s) are Laplace transforms of v(t), z(t) and i(t). The voltage v(t) is

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