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