9. Polar Equations

In Exercises 13–34, test for symmetry and then graph each polar equation.r = 2 + 2 cos θ

In Exercises 11–20, use a polar coordinate system like the one shown for Exercises 1–10 to plot each point with the given polar coordinates.(−2, − π/2)

In Exercises 13–34, test for symmetry and then graph each polar equation.r = 2 + cos θ

In Exercises 21–26, use a polar coordinate system like the one shown for Exercises 1–10 to plot each point with the given polar coordinates. Then find another representation of this point in which a. r>0, 2π < θ < 4π. b. r<0, 0. < θ < 2π. c. r>0, −2π. < θ < 0.(5, π/6)

In Exercises 13–34, test for symmetry and then graph each polar equation.r = 1 + 2 cos θ

In Exercises 13–34, test for symmetry and then graph each polar equation.r = 2 − 3 sin θ

In Exercises 21–26, use a polar coordinate system like the one shown for Exercises 1–10 to plot each point with the given polar coordinates. Then find another representation of this point in which a. r>0, 2π < θ < 4π. b. r<0, 0. < θ < 2π. c. r>0, −2π. < θ < 0.(4, π/2)

In Exercises 27–32, select the representations that do not change the location of the given point.(7, 140°)(−7, 320°)

In Exercises 13–34, test for symmetry and then graph each polar equation.r = 4 sin 3θ

In Exercises 27–32, select the representations that do not change the location of the given point.(4, 120°)(−4, 300°)

In Exercises 27–32, select the representations that do not change the location of the given point.(2, − 3π/4)(2, − 7π/4)

In Exercises 27–32, select the representations that do not change the location of the given point.(−2, 7π/6)(−2, −5π/6)

In Exercises 27–32, select the representations that do not change the location of the given point.(−5, − π/4)(−5, 7π/4)

In Exercises 13–34, test for symmetry and then graph each polar equation.r = 1 − 3 sin θ

In Exercises 27–32, select the representations that do not change the location of the given point.(−6, 3π)(6, −π)