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601.

The value of the integral of the function g(x,y)= 4x³ + 10y⁴ along the straight line segment from the point (0, 0) to the point (1, 2) in the x-y plane is
[2 marks]
(A) 33
(B) 35
(C) 40
(D) 56

asked in Electronics and Communication Engineering, 2008

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602.

P_x(x) = M exp(-2|x|) + N exp(-3|x|) is the probability density function for the real random variable X, over the entire x axis. M and N are both positive real numbers. The equation relating M and N is [2 marks]
(A) M + 2N/M = 1
(B) 2M + N/3 = 1
(C) M + N = 1
(D) M + N = 3

asked in Electronics and Communication Engineering, 2008

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603.

In the Taylor series expansion of exp(x)+sin(x) about the point x=π, the coefficient of (x-π)² is : [2 marks]
(A) exp (π)
(B) 0.5exp(π)
(C) exp (π) + 1
(D) exp (π) − 1

asked in Electronics and Communication Engineering, 2008

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604.

Consider the matrix . The value of e^p is [2 marks]

asked in Electronics and Communication Engineering, 2008

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605.

The residue of the function f(z) = 1/[(z+2)²(z-2)²] at z=2 is : [2 marks]
(A) -1/32
(B) -1/16
(C) 1/16
(D) 1/32

asked in Electronics and Communication Engineering, 2008

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606.

The recursion relation to solve x=e^-x using Newton Raphson method is
[2 marks]

asked in Electronics and Communication Engineering, 2008

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