I'm sorry, I know I'm posting a lot, but this is a huge packet, with more than a couple of challenging problems, most likely things I've forgotten along the way going through high school, who knows.

Here's the latest one: A curve is traced by a point P(x,y) which moves such that its distance from point A(-1,1) is three times its distance from point B(2,-1). Determine the equation of the curve.