Homework 1 for Physics 240

By Nasser Abbasi

Problem 3(a,b), chapter 1

Problem: Reproduce the plots in figure 1.1. Try to be as accurate as possible in your reconstruction [matlab].

1.3(a)

» clear all

» x=0:0.1:19;

» y=exp(-x/4) .* sin(x);

» plot(x,y)

» set(gca,'xtick',[0 5 10 15 20]);

» xlabel('x');

» ylabel('f(x)');

» title('f(x) = exp(-x/4)*sin(x)');

1.3(b)

» clear all

» x=0:0.1:19;

» y=exp(-x/4) .* sin(x);

» plot(x,y)

» hold on

» set(gca,'xtick',[0 5 10 15 20]);

» xlabel('x');

» ylabel('f(x)');

» title('f(x) = exp(-x/4)*sin(x)');

» % Now plot the 'o' points, counting, I see 13 of them.

» x1=0:19/13:19;

» y1=exp(-x1/4) .* sin(x1);

» plot(x1,y1,'o')

» % Now add the exp(-x/4) curve

» plot(x,exp(-x/4),':')

» text (5,0.4,'exp(-x/4)')