# Integrating factor of the equationis

1.  1/1+x

2.  -1/1+x

3.  ex/1+x

4.  ex+1

4

1/1+x

Explanation :
No Explanation available for this question

# Soluation curve of the equation y2=2-y/x which passes through the point (1,2) is given by

1.  Y=x+1/x

2.  Y=x-1/x

3.  Y2=x+1/x+2

4.  Y=x2-x+2

4

Y=x+1/x

Explanation :
No Explanation available for this question

# The order of error is the Simpson’s rule for numerical integration with a step size h is

1.  h

2.  h2

3.  h3

4.  h4

4

h2

Explanation :
No Explanation available for this question

# Solve x2-2=0 by Newton Raphson technique, when initial guessx0=1.0, then subsequent estimate of x will be

1.  1.414

2.  1.5

3.  2.0

4.  None of these

4

1.5

Explanation :
No Explanation available for this question

# Four arbitrary points (x1, y1), (x2, y2), (x3, y3), (x4,y4) are given the x, y-plane. Using the method of least squares, if regressing y upon x gives the fitted line y=ax + b; and regressing x upon y gives the fitted line x=cy + d, then

1.  Two fitted lines must coincide

2.  Two fitted lines need not coincide

3.  It is possible that ac=0

4.  A must be 1/c

4

A must be 1/c

Explanation :
No Explanation available for this question

# The accuracy of Simpson’s rule quadrature for a step size h is

1.  O(h2)

2.  O(h3)

3.  O(h4)

4.  O(h5)

4

O(h5)

Explanation :
No Explanation available for this question

# Following are the values of a function y(x):y(-1)=5, y(0), y(1)=8, dy/dx at x=0 as per newton’s central difference scheme is

1.  0

2.  1.5

3.  2.0

4.  3.0

4

1.5

Explanation :
No Explanation available for this question

# The newton’s-Raphson iterative formula for finding f(x) =x2-1, is

1.  Xi+1 = (xi2-1)/2xi

2.  Xi+1 = (xi2+1)/2xi

3.  Xi+1 = (2xi2+1)/2xi

4.  Xi+1 =2xi/ (2xi2+1)

4

Xi+1 = (xi2+1)/2xi

Explanation :
No Explanation available for this question

# The convergence of which of the following method is sensitive to starting value

1.  False position

2.  Gauss seidal method

3.  Newton-Raphson method

4.  All of these

4

Newton-Raphson method

Explanation :
No Explanation available for this question

# Newton-Raphson method of solution of numerical equation is not preferred when

1.  graph of A(B) is vertical

2.  graph of x(y) is not parallel

3.  graph of f(x) is nearly horizontal where it crosses the x-axis

4.  none of these

4