(1 point) Consider the parametric equation (t) = t +4, y(t) =12 + 2. Find a Cartesian equation for this curve. y(1 point) Find the tangent line(s) to the parametric curve x = to - 4t* and y = t at (0, 4). 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 =(1 point) Two particles move in the cy-plane. At time t, the position of particle A is given by x(t) = 3t - 2, y(t) = 4t - k for some number , and the position of particle B is given by x(t) = 2t, y(t) = 12 - 2t - 1. a) If k = 11, do the particles collide? v b) Find & so that the two particles collide. k c) At the time the particles collide in part (b), which particle is moving faster? Particle A ? v Particle B(1 point) Consider the set of parametric equations c = sint, y = sin(2t) for -co