MM ASSINMENT--- Submission date-12-11-2014 wednesday. First two questions take with me on monday. write in A4 papers. 3. (a) Find y(54) given that y(50)=205,y(60)=225,y(70)=248 and y(80)=274 using Newtons forward. (b) Find the polynomial which fits the data in the following table using gauss forward. x values are 3,5,7,9,11 and y values are 6,24,58,108,174. 4. (a) Find y(25),given that y(20)=24,y(24)=32,y(28)=35,y(32)=40, using gauss forward (b) Using gauss backward,Find y(8) from the following table. x values are 0,5,10,15,20,25 and y values are 7,11,14,18,24,32. 5. (a) Find y(10),given that y(5)=12,y(6)=13,y(9)=14,y(11)=16 using lagranges formula. (b) Find the interpolating polynomial f(x) from the table. x values are 0,1,4,5 and f(x) values are 4,3,24,39. 6. (a) A curve passes through the points (0,18);(1,10);(3,-18) and (6,90). Find the slope of the curve at x=2 (b) Given that y(3)=6,y(5)=24,y(7)=58,y(9)=108,y(11)=174.Find x when y=100, using lagranges formula. 7. (a) Fit the cubic spline for the data x values are 0,1,2,3 and y values are 1,2,9,28. (b) Fit the cubic spline for the data x values are 0,1,2 and f(x) values are 1,2,5. 8. (a) Find f(22) from the (1)gauss forward (2)newtons forward formula x values are 20,25,30,35,40,45 and y values are 354,332,291,260,231,204. (b) For the above problem,find f(38) (1)gauss backward (2)newtons backward formula.
Posted on: Sat, 08 Nov 2014 14:27:23 +0000
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