Consider an object moving in the plane whose location at time t seconds is given by the parametric equations: x(t)=4cos(πt)
y(t)=3sin(πt).

(i) The first time when the horizontal and vertical velocities are equal is time t=

(j) Let Q be the position of the object at the time you found in part (i). The slope of the tangent line to the ellipse at Q is