Create a function as below:

function [I, n] = adaptive (f, a, b, tol) that takes a function f, an interval [a, b], and a tolerance = tol, and returns two values.

THe first return value is I, an approximation to using adaptive Simpson's rule with tolerance .

THe second return value is n, which is the number of points at which f must be evaluated to obtain the end result.

Please write this in MATLAB. I am just new to it. Explaination will also helpful. THanks so much!