0) Using Lagrange's Interpolalion method, find the polynomial f(x) which agree 7 wiL11
{he Following data. f (1) = |, 27, 64. Hence find f(2).

18 a} usi.ig Newton's divided difference interpolalion [or-mula evuluale f(3) from 7 Ihe rollo

0} Evaluae i = dx using Simpson's 1/3 cd rule with ಇ 0.1.

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‎19 0) Obrain the value of y{0.1) using Runge-Kuna method of ഗവി order for ‏عط‎
‎differentia] Equation dyfdx = ~) and )7(0) = 1, (Take k = 0.1)
2) Use the method of least squares 00 fil a 57318! மாசறு ‏جه ع‎ + 0 for ‏عطا‎ 7
following data:

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20 Salve by Gauss-Sicdel 11161100 carrect to 3 decimal places, 14
10x—S5y—27=3, 4x—18e4+32=3, +$) 10% 3