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Evaluate the Line Integral cyzcosxds\int _ { c } y z \cos x d s

Question 25

Multiple Choice

Evaluate the line integral. cyzcosxds\int _ { c } y z \cos x d s C:x=t,y=4cost,z=4sint0tπC : x = t , y = 4 \cos t , z = 4 \sin t \quad 0 \leq t \leq \pi


A) 453\frac { 4 \sqrt { 5 } } { 3 }
B) 3253\frac { 32 \sqrt { 5 } } { 3 }
C) 223\frac { 2 \sqrt { 2 } } { 3 }
D) 3255\frac { 32 \sqrt { 5 } } { 5 }
E) 53\frac { \sqrt { 5 } } { 3 }

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