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Numerical methods Objective test

Total questions: 10

Worksheet time: 2hrs 16mins

Name
Class
Date
1.

f(x)-f(x-h)=

a)

Δf(x)\Delta f\left(x\right)

b)

f(x)\nabla f\left(x\right)

c)

E(x)

d)

none

2.

Backward difference operator pronounced as

a)

delta

b)

lamda

c)

nabla

d)

alpha

3.

 Δ2y0=\Delta^2y_0=  

a)

 Δy1Δy0\Delta y_1-\Delta y_0  

b)

 Δy0Δy1\Delta y_0-\Delta y_1  

c)

 Δ2y1Δ2y0\Delta^2y_1-\Delta^2y_0  

d)

 Δy1+Δy0\Delta y_1+\Delta y_0  

4.

∆2x=…………….

a)

2(x+h)-2x

b)

2(x+h)

c)

2(x-h)-2x

d)

2(x-h)

5.

In numerical integration the width of the sub intervals is given by

a)

h=xnx0nh=\frac{x_n-x_0}{n}

b)

h=xn+x0nh=\frac{x_n+x_0}{n}

c)

h=x0xnnh=\frac{x_0-x_n}{n}

d)

none of thesse

6.

Simpson’s 1/3 rule is applicable for five ordinates.

a)

True

b)

False

7.

Given   dydx=1y, y(0)=0\frac{\text{d}y}{\text{d}x}=1-y,\ y\left(0\right)=0   using a step size of h=0.1 , the value of  y(0.2) using Euler’s method is most  nearly  

a)

  0.1                      

b)

  0.119    

c)

0.19

d)

0.01

8.

Newton-Raphson method is also called as

a)

Method of chords

b)

Method of tangents

c)

halving method

d)

succesive approximation method

9.

Order of convergence of Regula falsi method is

a)

1.618

b)

1.168

c)

1.681

d)

1.816

10.

Error in trapezoidal rule is of order

a)

h

b)

h2

c)

h3

d)

h4