5) (a) Write x²+(y-2)² = 9 an equivalent equation using polar coordinates. (b) Writer = 4 csc an equivalent equation using rectangular coordinates.

Convert 2x + 5y^2 - 6y = 9 to a polar equation.

Convert eVx²+ye : 21 to an equation in polar coordinates of the form r = f (8). (Use symbolic notation and fractions where needed.) r =

Scientists and engineers often use polar equations to model the motion of satellites in earth orbit. Let's consider a satellite whose orbit is modeled by the equation  r = 22800/(4 − cos(?)),  where r is the distance in miles between the satellite and the center of the earth, and ? is the angle shown in the following figure.   (a) On the same viewing screen, graph the circle r = 3960 (to represent the earth, which we will assume to be a sphere of radius 3960 mi) and the polar equation of the satellite's orbit.