1-Find a polynomial of degree 3 to fit the following data:

x 0 1 2 4 6 10

y 1 7 23 109 307 1231

in matlab

2-Fit a polynomial of order 2 to the data in Example 1.13. Plot the given data point with symbol x, and the fitted curve with a solid line. Place a boxed legend on the graph.

x 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5

y 10 10 16 24 30 38 52 68 82 96 123

in matlab

3- Find Y(n) till n=15

Y(n)=Y(n-1)-2Y(n-2) +5 with Initial Conditions of Y (1) =1, Y (2) =2

in matlab