Using the following table of points and using the polynomial method Newton-divided difference interpolants, Calculate the value of Y for X = 0.19 X = 0.41 (The difference table, the difference vector and the calculations necessary to obtain the requested results must be provided).

X Y

0 1.000

0.1 0.79995

0.2 0.5992

0.3 0.3960

0.5 -0.0311