Round off the following numbers to two decimal places
48.21416, 2.3742, 52·275, 2·375, 2·385 and 81·255

If u find the percentage error in u at v if the error in v is 0·005.

Compute the real root of the equation x-2x-5 by Regula-Falsi method, correct to four decimal places.

Find a real root of the equation x
using the Newton-Raphson method, correct to three decimal places.

Use the Bisection method to obtain a teal root of the equation x^3
correct to three decimal places.

Show that

M

The population of a town in the decennial census was as given below. Estimate, by using Newton's difference interpolation formula, the population for the year 1895.

Year: x Population: y (in thousands)
1891 46
1901 66
1911 81
1921 93
1931 101

Using Lagrange's interpolation formula, find the form of the function from the following table. Also compute f(2·5).

x 0 1 3 4
y —12 0 12 24

Velocity of a car (running on a straight road) at intervals of 2 minutes is given below:

Time in minutes 0 2 4 6 8 10 12
Velocity in km/hr 0 22 30 27 18 7 0

Apply Simpson's 1/3 rd rule to find the distance covered by the car.

Solve the following equations by· Gauss elimination method:
2x+ Z 10
3x+ 2y +3z 18
x 4y +9z 16.

Solve the following equations by Jacobi's method:

10x+ 2y+ 9
2x+20y-2z= -44
-2x+3y+10z=22.

Write a programme for solving the simultaneous equations by using Gauss-Seidel iteration method.

Explain the concept of class and object with an example.

Write a programme to calculate the factorial n (i.e., nt).

Write a programme to find the roots of a quadratic equation.

What is a friend function in Explain the need of friend function with an example.

What will be the output produced by the following code?

for 10 50 10)





count



What will be the output produced by the following code fragment?

for 10; i 50

i/2

cout