1. Consider the parametric equations: x = 3+cos(t), y = 2+sin(t) .The curve traced out by these equations is a circle with radius ________

and center (______, ______)

2. Find parametric equations that describe a circle of radius 3 centered at the origin.

x(t)= ________

y(t)= ________

3. Find the tangent line(s) to the parametric curve x = t^44t^2andy = t^3 at (0,8). Write your tangent line(s) as a Cartesian equation. If there is only one tangent line, enter 'DNE' into the second box below.

y= ________

y= ________