Due: 8 February,1999
1. Once again, the good ship Swine Trek is forced to save two-dimensional space: the Cylons have launched a failing mark in MA 110 along the positive y-axis, straight at the origin. Ivanova orders the ship to move along the x-axis so as to cross the path of the mark 10 units ahead of it and lock on with a tractor beam. The Swine Trek's tractor beam subsequently keeps the mark at a constant distance of 10 units from the ship while the ship continues to move along the positive x-axis. Phaicus observes that the path of the mark is always tangent to the tractor beam and finds an equation in x and y describing the path of the mark after the Swine Trek starts towing it. Find this equation! 
2. As you probably figured out on the last assignment, the Fibonacci numbers are given by the relations f1 = 1, f2 = 1, and fn+2 = fn+1 + fn for n > 0. Prove that
Bonus: Which four science-fiction TV shows are referenced in Problem 1}? [0.4]
Department of Mathematics
Maintained by Stefan Bilaniuk. Last updated 1999.12.03.