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Evaluate the Line Integral Over the Given Curve C C3y2zds\int _ { C } 3 y ^ { 2 } z d s

Question 133

Multiple Choice

Evaluate the line integral over the given curve C. C3y2zds\int _ { C } 3 y ^ { 2 } z d s ; C:r(t) =10ti+sin7tj+cos7tkC : \mathbf { r } ( t ) = 10 t \mathbf { i } + \sin 7 t \mathbf { j } + \cos 7 t \mathbf { k } , 0tπ20 \leq t \leq \frac { \pi } { 2 }


A) 17- \frac { 1 } { 7 } 149\sqrt { 149 }
B) 3
C) 1
D) 1497π\frac { \sqrt { 149 } } { 7 } \pi

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