Matlab code should be included in your work. You should be able to explain your code.

Instructions: Return your home by a hard copy. Email is no longer accepted Matlab code should be included in your work. You should be able to explain your code. 1. (3 points) Write a function named fibonaccinumbers to compute the first n terms of the Fibonacci sequence with definition Fo=0, F1 = 1, The input is an integer n 21. The output is a vector F that contains the firstrn Fibonacci numbers, staring from 1. Use a for loop. You can use the command F = zeros(1,n); to create a row vector F with n zero entries, and update each entry based on the definition. You may need to consider some special cases when n = 1 and n = 2, Test your function with input n = 1, n = 2, and n = 10 and document your result. 2. (4 points) Find a root of the equation x + exp(-x2) cos(x) = 0, using .Bisection method on 1,0 Newtons method with Xo = 0; . Secant method with Xo = 0 and the x1 = 1 . Stop the iteration process at step n when x method -X- le 7. Compare the number of iterations required by each 3. (3 points) Find the root of the equation using Newtons method starting with xo = 1, Do you observe fast or slow conver- gence? Explain why