A curve traces the intersection point of two lines. The first line is flat, starts at height 1, and moves down with constant speed. The second line is through the origin, starts off vertical, and rotates at a constant angular speed. Both lines reach the x-axis at the same time. a. Find an equation for the curve tracing the intersection. b. Use L' Hopital's rule to find the intersection point of the curve with the x-axis.