b)

௦)

a)

b)

0)

1192003 Pages:3

bank is given by the following table. Find approximately the area of cross section.

>< 0 10 20 30 40 50 60 70 80
Y 0 5 8 110 15 12 7 3 1

Using Improved Euler method find y at x 0.1 and x = 0.2 for the equation
, 2
‏برح ار‎ ~ >, y(0) = 1.
Solve the initial value problem y’ + y tanx = sin2x,y(0) = 1 at x =0.2 using

Runge- Kutta method.

Solve the following system of equations using Gauss elimination method.
10x + ४ + 2 =6
x + 10 +z =6
x+y +102 =6

Solve the system of equations using Gauss Seidel iteration method starting with
the initial approximation x = y=z= 1.
4x + 52 =12.5

x + 6y + 22 = 18.5
8x + 2$ + 2 = -11.5
The population of a town is as follows

Year (x) 1941 1951 1961 1971 | 1981 | 1091

Population

in lakhs(y) | 20 24 29 36 46 51

Find the population increase during the period from 1946 to 1976

Page 3 of 3

(6)

(7)

(7)

(6)
(7)

(7)