I need matlab code to solve this. Please do not send handwrtitten solutions!

1. Solve the linear system using Gauss'method x,-5x2 +2x3-16x, +3x5 = 0 2. Solve the equation sin(2x +0.4)x2 by the Newton's method (absolute error 3. Solve the Cauchy problem +x2y xy+6y 0, (0) 1y (0)6 on the interval (0.1). Plot = 0.00001 ) the graphs of y(x) and y'(x) 4. Using secant method find the smallest positive number a such that f -dr-2 ( absolute error = 0.0001). 5. Solve the system using the method of minimal residual (initial approximation r0,2, r00, the error &0.001) 04+sin x 7x +16x2-7x3 = 37 9x, -7x2 +107x, 4 6. Using the Jacobi method, find the solution of the system after 60 iterations 15x, +10x2 9x, 5 10x, +12x2 +10x, 21 %; +10x2 +12x3 = 2 The initial approximation is x( ) = 0, x()-0. x34)-0. Interpret the results. Which other iterative methods can you recommend for the solution of the given system? 7. Suppose that f(x)-r-6x +18. Find the extrema of the function f(x) (the problem can be solved in case your aim is to get grade ,,10")