Dr. JaffeAdvanced Topics in MathematicsHomework due Tuesday 5/10

NAME: _______________________________________________

1. Identify the type of curve each polar equation represents:a) r = -3sinθ b) r = 3 + 3cosθ c) r = 3θ d) r2 = 4cos2θ

e) r = 2sin3θ f) r = -2sin3θ g) r = sin 4θ h) r = -2 – 2 sinθ

2. Write an equation for a rose with 3 petals.

3. Determine the maximum value of r in the equation r = 3 + 5sinθ. What is the minimum value of r?

4. Graph each system of polar equations and solve using algebra and trigonometry. Assume 0 ≤ θ < 2πa) r = 3

r = 2 + cos θ

b) r = 1 + cos θr = 1 – cos θ

c) r = 2sin θr = 2 sin 2θ