Write .1 program, plotlogistic.m, that plots the following function: p(y) = 1/(1+e-(y - y_0/a) Choose an appropriate domain for the function and choose parameters y0 and a (by changing the values in the program) that are larger than 1. Write a program, plotLJ.m, that animates the following parametrically defined motion characterized by T, a, b and phi. Choose values for a, b and phi that are larger than 1. Assume omega = 2 pi/T x = cos(a omega t) y = sin(6 omega t + phi) Write a MATLAB function for the following: Function vout=shuffle(vin) percentage returns vector in random order %uses MATLAB function randperm Create a GUI called PlotTool with two buttons and one plot. When the sin button is pressed plot a sin wave and when the cos button is pressed plot a cos wave (as shown below). Set xmin=-4, xmax=4, ymin 2 and ymax=2