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1192003 Pages:3

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

xX 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
y' =y- >, 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+y+z=6
x + 10y +z =6
x + y +10z =6

Solve the system of equations using Gauss Seidel iteration method starting with
the initial approximation x = y =z=l.
4x + 5z=12.5

x + 6y + 2z = 18.5
8 + 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

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