User:Egm6341.s11.team1.arm/HW3

Part 1
From lecture 9, page 9-2, equation 1 :

From lecture 11, page 11-3, equation 3 :



Using the following error definition:

The error at $$t=5 \ $$ and $$x=0.75 \ $$ is

 Matlab code: 

Part 2
Similarly,



and the error at $$t = 4.5 \ $$ and $$x = 3 \ $$ is

 Matlab code: 

Problem 4a
Information on the history and origin of the bifolium curve is sparse. The earliest found references to the curve originate in papers written by Isaac Newton in the 1690s. The curve was later included in several indexes of quartic curves in the late 1800s. The few sources that could be found that discussed the curve were either mathematics articles or books and did not mention any possible applications of the bifolium curve.