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Find the Length of the Curve r=9secθ,0θπ4r = 9 \sec \theta , 0 \leq \theta \leq \frac { \pi } { 4 }

Question 125

Multiple Choice

Find the length of the curve.
-The line segment r=9secθ,0θπ4r = 9 \sec \theta , 0 \leq \theta \leq \frac { \pi } { 4 }


A) 9
B) 9ln(tan(3π8) ) 9 \ln \left( \tan \left( \frac { 3 \pi } { 8 } \right) \right)
C) π4\frac { \pi } { 4 }
D) 92(2+ln(2+1) ) \frac { 9 } { 2 } ( \sqrt { 2 } + \ln ( \sqrt { 2 } + 1 ) )

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