Minimax is walking Big Dog in the Cartesian plane, with the leash between them at its full 10 cubit †They walk along the negative x-axis, moving towards the origin, but just as Big Dog reaches the origin a Showy Squirrel is spotted far down the negative y-axis. Big Dog starts running down the negative y-axis towards the Showy Squirrel, dragging Minimax along. The leash stays straight and at full extension throughout and at any given instant the leash is tangent to the curve Minimax is dragged along. 1. If (x, y) is a point on the curve Minimax is being dragged along, find dy/dx as a function of x. 2. Solve the differential equation you obtained in solving 1. (Initial conditions included). 3. Plot the curve Minimax is dragged along for −10 ≤ y ≤ 0.