13. (a) Find the interpolation polynomial P2(x) of f(x) = x9x at x0 = 0, x1 = 1/2 and x = 1

(b) The equation x9x = 0 has a solution in [0,1]. Find an approximation of the solution by solving the quadratic equation P2(x) = 0.

13. (a) Find the interpolation polynomial 132(23) of f($) = m 95" at $0 = 0, :51 = 1/2 and w = l (b) The equation a: 9_$ = 0 has a solution in [0, 1]. Find an approximation of the solution by solving the quadratic equation P2(93) = 0. 14. Find a piecewise linear function that interpolates the points (0, 1), (1, 1), (2, 0), (3, 10)