MATLAB QUESTION

Given: y = t^3 + 2t^2 - t - 2 and dy/dt = 3t^2 + 4t - 1 Use the polynomial commands from the Matlab Command sheet to find: a) The roots of y b) Values of t where the max and min occur (find the roots of dy/dt) c) Find the values of y for the values of t where the max and min occur using polyval. d) Then plot y vs. t and dy/dt vs. t on one single plot. Be sure to label the individual plots, add a grid so you can verify the roots, max, and min. Label the horizontal axis, t, and the vertical axis y and dy. Use an appropriate domain (to include local max & min, and roots) and increment size (so the plots are smooth)