Find the Length of the Curve $r = 9 \sec \theta , 0 \leq \theta \leq \frac { \pi } { 4 }$

question 125

Multiple Choice

Find the length of the curve.
-The line segment $r = 9 \sec \theta , 0 \leq \theta \leq \frac { \pi } { 4 }$

• A) 9
• B) \(9 \ln \left( \tan \left( \frac { 3 \pi } { 8 } \right) \right)\)
• C) \(\frac { \pi } { 4 }\)
• D) \(\frac { 9 } { 2 } ( \sqrt { 2 } + \ln ( \sqrt { 2 } + 1 ) )\)

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