c You are given the following data ry pairs z 0 0212 271 38

(c) You are given the following data, (r,y) pairs. z 0, 0.2,1.2, 2.71, 3.8] y [0, 1.1, 2.3, 3.14, 5.25] If we wish to interpolate the (r, y) pairs with a polynomial, what is the order of that polynomial?

Solution

Given the pair of values are

(0,0),(0.2,1.1),(1.2,2.3),(2.71,3.14),(3.8,5.25)

If suppose we interpolate the values of the above pairs

The order of the polynomial order is 4

If we using Simpson\'s 1/3 rule the number of intervals must be even but given data is odd so we cannot calculate the

Integration using Simpson\'s 1/3 rule