Exercise 2.1.* Consider the vector-valued function F: R3 R3 such that 2:11e"3 - a; sin x 1 F(x) = 2.12 ze+3 + 2x3 cOS X 1 (a) Write an m-file with definition function [F,J] = f(x) that computes F and J at any point x. Compute F and J at the point xk = (-1, 2, -2). (b) Repeat part (a) for the point tk = (0,0,0). (c) In each of the two cases above, compute a zero of the linear model M2(x) such that MkIk) = Mx(x)=rk = F(Uk) and M (tk) = M(x)= x = Jlxk). Exercise 2.1.* Consider the vector-valued function F: R3 R3 such that 2:11e"3 - a; sin x 1 F(x) = 2.12 ze+3 + 2x3 cOS X 1 (a) Write an m-file with definition function [F,J] = f(x) that computes F and J at any point x. Compute F and J at the point xk = (-1, 2, -2). (b) Repeat part (a) for the point tk = (0,0,0). (c) In each of the two cases above, compute a zero of the linear model M2(x) such that MkIk) = Mx(x)=rk = F(Uk) and M (tk) = M(x)= x = Jlxk)