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529.

The equation x³-x²+4x-4=0 is to be solved using the Newton-Raphson method. If x = 2 is taken as the initial approximation of the solution, then the next approximation using this method will be: [2 marks]
(A) 2/3
(B) 4/3
(C) 1
(D) 3/2

asked in Electronics and Communication Engineering, 2007

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530.

The solution of the differential equation k²d²y/dx² = y - y₂ under the boundary conditions.
(i) y=y₁ at x=0
(ii) y=y₂ at x=∞
where k, y₁,y₂ are constants, is [2 marks]
(A) y = (y₁-y₂) exp(-x/k²) + y₂
(A) y = (y₂-y₁) exp(-x/k) + y₁
(A) y = (y₁-y₂) sinh(-x/k) + y₁
(A) y = (y₁-y₂) exp(-x/k) + y₂

asked in Electronics and Communication Engineering, 2007

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531.

An examination consists of two papers, Paper 1 and Paper 2. The probability of failing in Paper 1 is 0.3 and that in Paper 2 is 0.2. Given that a student has failed in Paper 2, the probability of failing in paper 1 is 0.6. The probability of a student failing in both the papers is [2 marks]
(A) 0.5
(B) 0.18
(C) 0.12
(D) 0.06

asked in Electronics and Communication Engineering, 2007

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532.

Consider the function. f(x) = x²-x-2. The maximum value of f(x) in the closed interval [-4, 4] is : [2 marks]
(A) 18
(B) 10
(C) 2.25
(D) Indeterminate

asked in Electronics and Communication Engineering, 2007

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533.

It is given that X₁, X₂ ,…….. X_M are M non-zero, orthogonal vectors. The dimension of the vector space spanned by the 2M vector X₁, X₂, …….. X_M, -X₁, -X₂, …….. -X_M is [2 marks]
(A) 2M
(B) M + 1
(C) M
(D) dependent on the choice of X₁, X₂, …….. X_M

asked in Electronics and Communication Engineering, 2007

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534.

If C is a closed curve enclosing a surface S, then the magnetic field intensity H , the current destiny j and the electric flux destiny D are related by
[1 mark]

asked in Electronics and Communication Engineering, 2007

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