1. A circle C1 of radius 1 rolls counterclockwise along the outside of a circle C2 of radius 4 which is centered at the origin. Assume that there is a point P on the circumference of the circle C1 that sits intially at the point (4,0). Find a parametric curve describing the way that P traces in the plane.
My idea of whats going on: imgur: the simple image sharer
2. For a<0 show that the polar curves and intersect at right angles.