Find the Length of the Curve $r = \frac { 3 } { 1 + \cos \theta } , 0 \leq \theta \leq \frac { \pi } { 2 }$

question 267

Multiple Choice

Find the length of the curve.
-The parabolic segment $r = \frac { 3 } { 1 + \cos \theta } , 0 \leq \theta \leq \frac { \pi } { 2 }$

• A) \(\frac { 3 } { 2 } ( \sqrt { 2 } + \ln ( \sqrt { 2 } + 1 ) )\)
• B) \(6 \pi\)
• C) 3
• D) \(\frac { 3 } { 2 } ( \sqrt { 2 } - \ln ( \sqrt { 2 } - 1 ) )\)

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