In the first part of the assignment, you will write a MATLAB program to approximate the derivative of a function using difference formulas and Richardson extrapolation; the integral of a function using: Trapezoidal rule, Simpson's rule, Composite Simpson's rule, and Romberg integration. Use the program to solve the following problems: 1. Generate a vector y using the following code t = 0:0.2:2*pi; y = 3* cos(t*1000); use program to compute the derivative and integral of y as accurately as possible. Plot your results along with the result obtained analytically. Comment on the results