Write a set of parametric equations for the ellipse which begins at the point (3, 0) at time t= 0, then passes through (1, 4) at time t= (-1,0) at time t= (1. -4) at time t= t3D, before returning to (3, 0) at time t = = %3D Note: The answers should be functions of t

c) At what rate is the x-coordinate changing when the particle passes the point (1,1) if its y-coordinate is increasing at the rate of 6 m/s? Show work d) Find dy · when the particle is at the top and bottom of the ellipse. Justify your answer. dt

of Find the parametric equations line through the point P (1₁-1,5) and parallel to the line x= 2+36 19= -26 2=1+26 a