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GATE 2019: Engineering Mathematics Rapid Mini Mock
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Question 1
Find the z-transform of x[n]
Question 2
Find 
by using partial fraction decomposition?
by using partial fraction decomposition? Question 3
If Laplace transform of a function is given by
Find the value of f(0+) and f(∞) respectively.
Find the value of f(0+) and f(∞) respectively.
Question 4
Find the region of convergence for the following function f(t)
Question 5
The solution of the differential equation
Question 6
The probability that A speaks truth is 4/5, while this probability for B is 3/4. The probability that they contradict each other when asked to speak on a fact is ______.
Question 7
If X(z) is the Z-transform of a signal x[n]
Find the final value of x[n].
Find the final value of x[n].
Question 8
A fair coin is tossed till a head appears for the first time. The probability that the number of required tosses is odd, is
Question 9
There are two roads from A to B and two roads from B to C. Each of the four roads is blocked by snow with probability p, independently of the others. Find the probability that there is an open road from A to B given that there is no open route from A to C
Question 10
If x is real,find the maximum value of 
Question 11
The absolute minimum value of the function f (x)= x3- 3x2- 24x + 100 in the interval [-3, 3] is
Question 12
A function f(t) is shown in the figure.
The Fourier transform
of 
is
The Fourier transform
of is - 711 attempts
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Jun 10ESE & GATE EE
