1
GATE EE 2015 Set 2
MCQ (Single Correct Answer)
+1
-0.3
The Laplace transform of f(t)=$$2\sqrt{t/\mathrm\pi}$$ is $$s^{-3/2}$$. The Laplace transform of g(t)=$$\sqrt{1/\mathrm{πt}}$$ is
A
$$\left(3s^{-5/2}\right)/2$$
B
$$s^{-1/2}$$
C
$$s^{1/2}$$
D
$$s^{3/2}$$
2
GATE EE 2015 Set 2
MCQ (Single Correct Answer)
+1
-0.3
The z-Transform of a sequence x[n] is given as X(z) = 2z+4−4/z+3/z2. If y[n] is the first difference of x[n], then Y(Z) is given by
A
$$2z+2-\frac8z+\frac7{z^2}-\frac3{z^3}$$
B
$$-2z+2-\frac6z+\frac1{z^2}-\frac3{z^3}$$
C
$$-2z-2+\frac8z-\frac7{z^2}+\frac3{z^3}$$
D
$$4z-2-\frac8z-\frac1{z^2}+\frac3{z^3}$$
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