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+2*y^3
diff(diff(P(x,y),x),y)=8*x*y+4*x
2)Using the implicitplot command in the package plots
plot 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.