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GATE 2019: Engineering Mathematics Rapid Quiz 1 (App update required to attempt this test)

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Question 1

The Laplace transform of a function f(t) is F(s). Given,

Find the final value of f(t).

Question 2

If h(t) is an odd function and its Laplace transform is H(s). Then determine the L.T. of f(t)

Question 3

The Laplace transform of the function f(t)=te-tsin2t

Question 4

If F.T. of a signal x(t) is X(f). Then find the inverse F.T. of X(5f-2).

Question 5

Lifetime of an electric bulb is a random variable with density f(x) = kx2 where x is measured in years. If the minimum and maximum lifetimes of bulb are 1 and 2 years respectively, then the value of k is ________.

Question 6

If then the sum of eigen values of A3 is _______.
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Feb 18ESE & GATE EE