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Evaluate cxy2ds\int _ { c } x y ^ { 2 } d s

Question 187

Multiple Choice

Evaluate cxy2ds\int _ { c } x y ^ { 2 } d s where the CC is given by C:x=2cost,y=2sint,z=5t,0tπ2C : x = 2 \cos t , \quad y = 2 \sin t , z = \sqrt { 5 t } , 0 \leq t \leq \frac { \pi } { 2 } .


A) 88
B) 9
C) 66
D) 6π6 \pi
E) 83\frac { 8 } { 3 }
F) 44
G) 2424
H) 00

Correct Answer:

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