The MATLAB question:

You should now be familiar with MATLAB's built-in "max" function. Without using the built-in max(), min() and sort() functions, write a function that takes vector as an input and returns the maximum value as well as the index at which the maximum value occurs. Your function should work with input vectors of any length. Your function header should be similar to the following: function [max_value, index] mymax(x) Test your function for fxvalues between O and 50 with a step size of 0.001. Check the maximum value and index using MATLAB's built-in max() function. Plot f(x) and mark the maximum point. Remember to include a legend. Although not necessary for this task, think about how you would code this for a two-dimensional matrix by creating a function which finds the maximum value and its corresponding row and column. function [max-value, row, column] = mymax2(x)