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NUMERICAL METHODS 2

Total questions: 10

Worksheet time: 5mins

Name
Class
Date
1.

The value of y’/x’ in terms of the angle 0 is given by _____________

a)

tanθ

b)

secθ

c)

cotθ

d)

cosecθ

2.

The Newton Raphson method is also called as ____________

a)

Tangent method

b)

Secant method

c)

Chord method

d)

Diameter method

3.

The equation f(x) is given as x2-4=0. Considering the initial approximation at x=6 then the value of x1 is given as

a)

10/3

b)

4/3

c)

7/3

d)

13/3

4.

For decreasing the number of iterations in Newton Raphson method:

a)

The value of f’(x) must be increased

b)

The value of f’’(x) must be decreased

c)

The value of f’(x) must be decreased

d)

The value of f’’(x) must be increased

5.

In Newton Raphson method f’(x) for a given point is given by the formula ____________

a)

y/x’

b)

y’/x

c)

y/x

d)

y’/x’

6.

The points where the Newton Raphson method fails are called?

a)

floating

b)

continuous

c)

non-stationary

d)

stationary

7.

The convergence of which of the following method depends on initial assumed value?

a)

False position

b)

Gauss Seidel method

c)

Newton Raphson method

d)

Euler method

8.

The equation f(x) is given as x3+4x+1=0. Considering the initial approximation at x=1 then the value of x1 is given as _______________ (VALUE SHOULD BE ROUNDED OFF )

a)

1.67

b)

1.87

c)

1.86

d)

1.85

9.

If each element of a line consists of m terms, the determinant can be expressed as the sum of ______ determinants.

a)

m-1

b)

m

c)

m+1

d)

m2

10.

A matrix B and _____ will have the same determinant.

a)

Its transpose

b)

Its inverse

c)

Its echelon matrix

d)

Its adjoint