i check my email this afternoon just before i started lunch at 3:30, and see this:
Date: Sat, 12 Feb 2005 15:16:54 -0500 (EST)
From: Doron Zeilberger
Subject: Problem Set 1
Dear Class,
It is about time that you have a real problem set!
It is due Monday, but it only has one problem.
No extensions will be granted. Please complete it
promptly.
Best wishes
Dr. Z.
MathIsFun
------------------------------------------------
Problem Set 1 (Due Feb. 14, No Extensions!)
1) Using Maple, find the unique Polynomial P(x,y) that
satisfies the conditions
P(x,0)=x^4-x^2 ;
P(0,y)=y^4+2y^3 ;
diff(diff(P(x,y),x),y)=8*x*y+4*x ;
2)Using the implicitplot command in the package plots
(call it by typing:
with(plots);
),
plot the curve P(x,y)=0 for the frame -2<=x<=2, -2<=y<=2,
with the option axes=none .
3) Print it out. Using scissors, cut the shape out.
Hand it in to me in class.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
at first i sit down with my lunch and go, "well that was weird of him to make an assignment saturday afternoon with such a harsh deadline, he's usually so easy going... hrmmm...",... then it dawns on me... i suddenlyknew exactly what the shape was going to be without even looking at the equations... do you?
scroll on down and see the resulting maple worksheet from following his instructions...
in other words for our discrete algorithms class, it's mandatory to give the professor a valentine during class on valentines day... dude :-P
that was easy.
back to work, later y'all.
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