Using Matlab:

Write a program. Test it on a given problem. For every numerical result indicate the number of iterations needed to achieve a required accuracy. Write a program for numerical solution of a system of nonlinear equations by Newton's method with given accuracy elementof. Solve the system: {5sin(x^2 + y^2) - y = 0 e^xy - x^2 - y = 0 Choose elementof = 10^-8. As initial approximation take: a. x0 = 1, y0 = 1: b. x0 = - 1: c. x0 = - 1, y0 = 1: d. x0 = 1, y0 = - 1. Write a program. Test it on a given problem. For every numerical result indicate the number of iterations needed to achieve a required accuracy. Write a program for numerical solution of a system of nonlinear equations by Newton's method with given accuracy elementof. Solve the system: {5sin(x^2 + y^2) - y = 0 e^xy - x^2 - y = 0 Choose elementof = 10^-8. As initial approximation take: a. x0 = 1, y0 = 1: b. x0 = - 1: c. x0 = - 1, y0 = 1: d. x0 = 1, y0 = - 1