9. Polar Equations

In Exercises 1–10, indicate if the point with the given polar coordinates is represented by A, B, C, or D on the graph.(3, 225°)

In Exercises 1–10, indicate if the point with the given polar coordinates is represented by A, B, C, or D on the graph.(−3, 5π/4)

In Exercises 1–10, indicate if the point with the given polar coordinates is represented by A, B, C, or D on the graph.(3, π)

In Exercises 1–10, indicate if the point with the given polar coordinates is represented by A, B, C, or D on the graph.(3, −135°)

In Exercises 7–12, test for symmetry with respect to a. the polar axis. b. the line θ=π2. c. the pole.r = 4 + 3 cos θ

In Exercises 1–10, indicate if the point with the given polar coordinates is represented by A, B, C, or D on the graph.(−3, −3π/4)

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, 45°)

Convert x² + (y + 8)² = 64 to a polar equation that expresses r in terms of 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.(3, 90°)

In Exercises 13–14, graph each polar equation.r = 1 + sin θ

In Exercises 13–34, test for symmetry and then graph each polar equation.r = 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.(3, 4π/3)

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