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The Exact Length of the Parametric Curve x=etcost,y=etsint,0tπ7x = e ^ { t } \cos t , y = e ^ { t } \sin t , 0 \leq t \leq \frac { \pi } { 7 }

question 34

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The exact length of the parametric curve x=etcost,y=etsint,0tπ7x = e ^ { t } \cos t , y = e ^ { t } \sin t , 0 \leq t \leq \frac { \pi } { 7 } is 2ex/7\sqrt { 2 } e ^ { x / 7 } .


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