1. At what point does the normal line to the curve x^2 - XY + Y^2 = 3 at the point (-1,1) intersect the curve again?
2. Find the constants A, B so that if Y=A*sin X + B cos X, then Y satisfies the differential equation Y" + 2Y = 0.
3. Find the points on he graph of Y = e^x - e^2x at which that tangent line is horizontal.
Thank you.