List of practice Questions

The smallest positive root of the equation
\(x^5-5x^4-10x^3+50x^2+9x-45=0\)
lies in the range

Consider the data of f (x) given in the table.

i	0	1	2
xi	1	2	3
f(xi)	0	0.3010	0.4771

The value of ƒ(1.5) estimated using second-order Newton's interpolation formula is ____ . (rounded off to 2 decimal places).