Question

A pendulum that swings toward and away from a motion detector has a distance (in feet) from the detector of x(t)=5+3sin(πt+π/2) and a velocity (in ft/sec) of the pendulum is given by y(t)=-2sin(2t-5),
a) graph the (x,y) relation for velocity verses position for 0≤t≤ 2π
b) write the equation of the resulting conic in standard form, in terms of x and y, and eliminating the parameter "t"