Due:  Wednesday, April 16

Since these exercises involve animations, do not submit a hard copy.  Instead, eMail an electronic version to me.

1.   Write an animation that solves the floating tangent line problem for an arbitrary differentiable function y = f(x) on an interval [a,b].

2.   Write an animation that displays an interesting face:  Perhaps expanding/contracting eyes or nose or mouth, perhaps eyeballs rotating within circular or elliptical eyes. Let your imagination guide you.

3.   Write an animation that takes a function, for example, y = e^x, and approximates the tangent line at a given point, say at x = 1, by taking secant lines for points P = (b,e^b) near (1,e).   That is, the line(s) passing through the points (1, e) and (b, e^b) for values of b between 0 and 1, should approach the tangent line.