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### Find the slope of the tangent line to the given p…

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Problem 54

Match the polar equations with the graphs labeled I-VI. Give reasons for your choices. (Don't use a graphing device.)
(a) $r = \ln \theta$, $\; 1 \leqslant \theta \leqslant 6\pi \qquad$ (b) $r = \theta^2$, $\; 0 \leqslant \theta \leqslant 8\pi$
(c) $r = \cos 3\theta \qquad$ (d) $r = 2 + \cos 3\theta$
(e) $r = \cos(\theta/2) \qquad$ (f) $r = 2 + \cos(3\theta/2)$

Answer

a) $VI$
b) III
c) II
d) $IV$
e) The corresponding graph is $V$
f) $I$

## Discussion

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## Video Transcript

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