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Problem 55

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) $


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


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Video Transcript

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