Math781Note1.pdf Homework Assignment #1. 1. Execute fofdhl.m four times for evariables (h,) (64,5),(32, 10).(16,20) and (8,40), respectively. Compare the four curves by placing them on the same graph; this can be done by executing the MATLAB command "hold on after the first execution of fofdh1.m 2, Execute ffdh1.m five times with h-1, -300, and variable c-as. ,.d.. and respectively. Compare the five cures by placing them on the same graph: this can be done by executing the MATLAB command "hod on after the first execution of foldhl.a 3. Consider the application to Newton's discrete law of cooling. Use Equation (2) to show that if hec 1. then +1 converges to the room temperature. . Modify the model used in Figure 3 to account for a room temperature that starts at 70 and increases at a constant rate equal to one degree every five minates, and use the values and h 1 in your simulation. State whate you will have observed from comparing the new curve with Figure 3