9. Polar Equations

In Exercises 35–44, test for symmetry and then graph each polar equation.r = 2 + 3 sin 2θ

In Exercises 41–48, the rectangular coordinates of a point are given. Find polar coordinates of each point. Express θ in radians. _(−√3,−1)

In Exercises 41–48, the rectangular coordinates of a point are given. Find polar coordinates of each point. Express θ in radians.(5, 0)

In Exercises 49–58, convert each rectangular equation to a polar equation that expresses r in terms of θ.3x + y = 7

In Exercises 49–58, convert each rectangular equation to a polar equation that expresses r in terms of θ.x = 7

In Exercises 49–58, convert each rectangular equation to a polar equation that expresses r in terms of θ.x² + y² = 9

In Exercises 54–60, convert each polar equation to a rectangular equation. Then use your knowledge of the rectangular equation to graph the polar equation in a polar coordinate system.θ = 3π/4

In Exercises 54–60, convert each polar equation to a rectangular equation. Then use your knowledge of the rectangular equation to graph the polar equation in a polar coordinate system.r = 5 csc θ

In Exercises 59–74, convert each polar equation to a rectangular equation. Then use a rectangular coordinate system to graph the rectangular equation.r = 8

In Exercises 61–63, test for symmetry with respect to a. the polar axis. b. the line θ = π/2. c. the pole.r = 5 + 3 cos θ

In Exercises 59–74, convert each polar equation to a rectangular equation. Then use a rectangular coordinate system to graph the rectangular equation.r = 4 csc θ

In Exercises 64–70, graph each polar equation. Be sure to test for symmetry.r = 2 + 2 sin θ

In Exercises 64–70, graph each polar equation. Be sure to test for symmetry.r = 2 + cos θ

In Exercises 59–74, convert each polar equation to a rectangular equation. Then use a rectangular coordinate system to graph the rectangular equation.r = 12 cos θ

In Exercises 59–74, convert each polar equation to a rectangular equation. Then use a rectangular coordinate system to graph the rectangular equation.r = 6 cos θ + 4 sin θ