An object is moving counter-clockwise along a circle with the centre at the origin. At \(t=0\) the object is at point \(A(0,5)\) and at \(t=2\pi\) it is back to point \(A\) for the first time.

Find \(dy/dx\) for this curve. Find the equation of the two tangent lines at the origin. Identify the graph on Figure 4.3 that corresponds to the parametric curve. Eliminate the parametric dependance ...