The iteration formula to find square root of a positive real number b using the Newton-Raphson method is

1.  Xk+1=3(xk+b)/2xk

2.  Xk+1= (x2k+b)/2xk

3.  Xk+1=(xk-2xk)/(x2k+b)

4.  None of these

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Xk+1= (x2k+b)/2xk

Explanation :
No Explanation available for this question

The value ofdx computed using Simpson's rule with a step of h = 0.25 is

1.  0.69430

2.  0.69385

3.  0.69325

4.  0.69415

4

0.69325

Explanation :
No Explanation available for this question

Taylor series expansion of the function, F(x) = x/1+x around x = 0 is

1.  1+x + x2 + x3 + x4

2.  1 = x + x2 + x3 + x4

3.  2x + 4x2 + 8x3 + 16x4

4.  x - x2 + x3 - x4

4

x - x2 + x3 - x4

Explanation :
No Explanation available for this question

If u = x3-3xy2 + 3x2 - 3y2 + 1, then analytic function f(z) = u(x, y) + iv (x, y) is

1.  3xy - y3 + 6xy2 + C

2.  3x2y - y3 + 6xy + C

3.  3x2y2 - y3 + 6xy + C

4.  3x2y - y3 + 6xy2 + C

4

3x2y - y3 + 6xy + C

Explanation :
No Explanation available for this question

The function f(z) = xy2 (x +iy)/x2+y4, z≠0 and f(0) = 0

1.  is not analytic at the origin

2.  is analytic at the origin

3.  can't be said

4.  none of these

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is not analytic at the origin

Explanation :
No Explanation available for this question

sin Tπz2 +cosπz2/(z-1) (z-2) , where C is the circle and /z/ = 3, is equal to

1.  27πi

2.  3πi

3.  4πi

4.  5πi

4

4πi

Explanation :
No Explanation available for this question

The residue of f(z) = z2-2z/(z+1)2 (z2 +4)

1.  (1±i)/25

2.  (3±i)/25

3.  (5±i)/25

4.  (7±i)/25

4

(7±i)/25

Explanation :
No Explanation available for this question

For /z/ =1,z-3/z2 + 2z + 5 dz, where C is the circle, is

1.  0

2.  1

3.  2

4.  None of these

4

0

Explanation :
No Explanation available for this question

For /z + 1-i/=2,z-3/z2+2z+5 dz where C the circle, is

1.  π(i-2)

2.  π(i-3)

3.  π(i-4)

4.  π(i-5)

4

π(i-2)

Explanation :
No Explanation available for this question

Expansion of sin z about z =π/2 is

1.  1+0- (z-(π/2)2/2! +(z-(π/2)4/4!+……

2.  1+0+ (z-(π/2)2/2! +(z-(π/2)4/4!+……

3.  1-0+ (z-(π/2)3/2! +(z-(π/2)3/3!+……

4.  1- (z-π)2/2! +(z-π)3/3!+……

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