Q1: Write a well-commented Matlab function program mygrowth that gives the population for the next 100 years. The birthrate should be 0.05, and the initial population, p0=1000.

Q2)Modify mygrowth function as mylimitedgrowth and add the carrying capacity to your code. Assume K=800 and check the population for the next 1000 years. (Matlab solution with codes)

Q3: Write a well-commented Matlab function program mysolvecheck with input a number n that makes a random n n matrix A and a random vector b, solves the linear system Ax = b, calculates the norm of the residual r = Ax b, and outputs that number as the error e.

Q4: Find two tables of data in an engineering textbook or engineering website. Plot each (with * at data

points) and decide if the data is best represented by a polynomial interpolant, spline interpolant, or least squares fit polynomial. Label the axes and include a title. Turn in the best plot of each. Indicate the source and meaning of the data.