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Rate of Change of Polar Distance

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Given the polar function r=f(θ)r = f(\theta) where f′(θ)<0f'(\theta) < 0 for all θ\theta, for which values of θ\theta is the distance from the origin decreasing?

A

For every value of θ\theta

B

Whenever f(θ)>0f(\theta) > 0

C

If f(θ)<0f(\theta) < 0

D

Only when f(θ)=0f(\theta) = 0

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