Rate of Change of Polar Distance

Question

The polar function $$r = f(	heta) = 1 + 2 \cos 	heta$$ is graphed for $$0 \leq 	heta \leq 2\pi$$. On which of the following intervals of $$	heta$$ is the distance from the point with polar coordinates $$(f(	heta), 	heta)$$ to the origin decreasing?

Accepted Answer

$$(0, 2.094)$$ and $$(3.142, 4.189)$$

Answer

$$(0, 2.094)$$ only

Answer

$$(2.094, 4.189)$$

Answer

$$(2.094, 3.142)$$ and $$(4.189, 6.283)$$

Rank	User	Correct Count	Attempt Count	Total Time	Score
#1	mahmoudjibrin08	1	1	0m 27s	73
#2	billminhhanguyen	1	1	0m 29s	71
#3	daniel.kim	1	1	1m 05s	35
#4	m6namrouti	2	6	2m 29s	11
#5	danurizayo	1	1	1m 37s	3
#6	hekim4066	1	1	2m 07s	-27
#7	chunxiangxu.cxu	2	4	6m 09s	-189
#8	mihikadarbha	2	3	24m 41s	-1,291

Rate of Change of Polar Distance

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