73. Pendulum Velocity vs. Position As a pendulum swings toward and away from a motion detector, its distance (in meters) from the detector is given by the position function x(t)=3+cos(2t−5), where t represents time (in seconds). The velocity (in m/sec ) of the pendulum is given by y(t)=−2sin(2t−5).
(a) Using parametric mode on your grapher, plot the (x,y) relation for velocity versus 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.