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Find the Length of the Curve r=6θ,0θπr = 6 \theta , 0 \leq \theta \leq \pi

Question 189

Multiple Choice

Find the length of the curve.
-The spiral r=6θ,0θπr = 6 \theta , 0 \leq \theta \leq \pi


A) 36
B) 3(ππ2+1+ln(π+π2+1) ) 3 \left( \pi \sqrt { \pi ^ { 2 } + 1 } + \ln \left( \pi + \sqrt { \pi ^ { 2 } + 1 } \right) \right)
C) 6(π2+1+ln(1+π2+1π) ) 6 \left( \sqrt { \pi ^ { 2 } + 1 } + \ln \left( \frac { 1 + \sqrt { \pi ^ { 2 } + 1 } } { \pi } \right) \right)
D) 16((π2+1) 3/24) 16 \left( \left( \pi ^ { 2 } + 1 \right) ^ { 3 / 2 } - 4 \right)

Correct Answer:

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