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445.

The Fourier series for the function f(x) = sin²x is: [2 marks]
(a) sin x + sin2x
(b) 1 − cos2x
(c) sin2x + cos2x
(d) 0.5 − 0.5cos2x

asked in Electrical Engineering, 2005

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446.

The Laplace transform of a function f(t) is
F(s) = (5s²+23s+6)/[s(s²+2s+2)]. As t→∞, f(t) approaches [2 marks]
(a) 3
(b) 5
(c) 17/2
(d) ∞

asked in Electrical Engineering, 2005

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447.

For the equation x"(t ) + 3x'(t ) + 2x (t ) = 5, the solution x(t) approaches the following values at t →∞ [2 marks]
(a) 0
(b) 5/2
(c) 5
(d) 10

asked in Electrical Engineering, 2005

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448.

For the scalar field u = x²/2 + y²/3, the magnitude of the gradient at the point (1,3) is: [2 marks]
(a) √13/9
(b) √9/2
(c) √5
(d) 9/2

asked in Electrical Engineering, 2005

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449.

For the function f(x)= x²e^-x the maximum occurs when x is equal to:
[2 marks]
(a) 2
(b) 1
(c) 0
(d) -1

asked in Electrical Engineering, 2005

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450.

A fair coin is tossed three times in succession. If the first toss produces a head, then the probability of getting exactly two heads in three tosses is:
[2 marks]
(a) 1/8
(b) 1/2
(c) 3/8
(d) 3/4

asked in Electrical Engineering, 2005

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