11) What is the directrix for the following conic?

r= 8.4/4-6.2 sinθ

A: y= 8.4
B: y= -1.35
C: y= 2.1
D: y= 4

12) Write a limacon equation that represents a cardioid.

13 Part One) What are the horizontal intercepts for the above limacon?

A: (-4,0) and (4,0)
B: (-3,0) and (3,0)
C: (0,0) and (6,0)
D: (0,0) and (8,0)

13 Part Two) What are the vertical intercepts for the above limacon?

A: (0,pi/2), (3,pi/2),(-3,pi/2)
B: (0,pi/2), (7,pi/2), (1,pi/2)
C: (0,pi/2), (6,pi/2), (4,pi/2)
D: (0,pi/2), (6,pi/2), (8,pi/2)

1 answer

11) B: y= -1.35 (Note: this is a polar equation, not a conic)

12) r = a(1 + cosθ)

13 Part One) B: (-3,0) and (3,0)

13 Part Two) A: (0,pi/2), (3,pi/2),(-3,pi/2)