Rate of Change of Polar Distance
The polar function $$r = f(\theta)$$, where $$f(\theta) = 1 + 2 \cos \theta$$, is graphed in the polar coordinate system for $$0 \leq \theta \leq 2\pi$$. On which of the following intervals of $$\theta$$ is the distance between the point with polar coordinates $$(f(\theta), \theta)$$ and the origin decreasing?
A
$$(0, 2.094)$$ and $$(3.142, 4.189)$$
B
$$(0, 2.094)$$ only
C
$$(2.094, 4.189)$$
D
$$(2.094, 3.142)$$ and $$(4.189, 6.283)$$
APFIVE