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139.

F(x ,y) =(x²+xy)p̂_x + (y²+xy)p̂_y . It’s line integral over the straight line from
(x, y) = (0,2) to (x, y) = (2, 0) evaluates to [2 marks]
(A) -8
(B) 4
(C) 8
(D) 0

asked in Electrical Engineering, 2009

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140.

Let x² -117 = 0. The iterative steps for the solution using Newton-Raphson's
method is given by [2 marks]
(A) x_k+1 = 1/2 (x_k + 117/x_k)
(A) x_k+1 = x_k - 117/x_k
(A) x_k+1 = x_k - x_k/117
(A) x_k+1 = x_k -1/2 (x_k + 117/x_k)

asked in Electrical Engineering, 2009

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141.

A cubic polynomial with real coefficients [2 marks]
(A) can possibly have no extrema and no zero crossings
(B) may have up to three extrema and upto 2 zero crossings
(C) cannot have more than two extrema and more than three zero crossings
(D) will always have an equal number of extrema and zero crossings

asked in Electrical Engineering, 2009

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142.

The z-transform of a signal x[n] is given by 4z^-3 + 3z^-1 + 2 – 6z² + 2z³. It is applied to a system, with a transfer function H(z) = 3z^-1 -2. Let the output be y(n).Which of the following is true? [2 marks]
(A) y(n) is non causal with finite support
(B) y(n) is causal with infinite support
(C) y(n) = 0;|n|>3
(D) Re[Y(z)]_z=e^_jθ= -Re[Y(z)]_z=e^jθ ; Im[Y(z)]_z=e^_jθ= Im[Y(z)]_z=e^jθ; -π≤θ<π

asked in Electrical Engineering, 2009

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143.

The Fourier Series coefficients, of a periodic signal x(t), expressed as x(t) =

∞

∑ a_ke^j2πkt/T

k=-∞

are given by a_-2 = - j1; a_-1 = 0.5 + j0.2; a₀ = j2; a₁ = 0.5 – j0.2; a₂ = 2 + j1; and a_k = 0; for |k| > 2.
Which of the following is true? [2 marks]
(A) x(t) has finite energy because only finitely many coefficients are non-zero
(B) x(t) has zero average value because it is periodic
(C) The imaginary part of x(t) is constant
(D) The real part of x(t) is even

asked in Electrical Engineering, 2009

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144.

A cascade of 3 Linear Time Invariant systems is causal and unstable. From this, we conclude that [2 marks]
(A) each system in the cascade is individually causal and unstable
(B) at least one system is unstable and at least one system is causal
(C) at least one system is causal and all systems are unstable
(D) the majority are unstable and the majority are causal

asked in Electrical Engineering, 2009

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