Problems
Problem 3.1:
Do the rules of symmetry show that the following polar graph is symmeric
with respect to either the pole, the polar axis, or the line
θ = ?
a)
r = cos(θ) + 2.
b)
r = 2 sin(θ).
c)
r = 7.
d)
r = 2 cos(3θ); e)
r = .
[Solution]
Problem 3.2:
What is the maximum value of
| r| for the following polar equations: a)
r = cos(2θ); b)
r = 3 + sin(θ); c)
r = 2 cos(θ) - 1.
[Solution]
Problem 3.3:
Find the intercepts and zeros of the following polar equations: a)
r = cos(θ) + 1; b)
r = 4 sin(θ).
[Solution]
Problem 3.4:
Decide whether each of the following polar graphs is a limacon, a rose
curve, a spiral, a circle, or none of these: a)
r = 2 + cos(θ); b)
r = 2; c)
r = sin(3θ); d)
r = 1 - cos(θ); e)
r = 2θ.
[Solution]
? 
.
[Solution]
