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Evaluate the Line Integral Along the Curve C Cx+y+z5ds,C\int _ { C } \frac { x + y + z } { 5 } d s , C

Question 273

Multiple Choice

Evaluate the line integral along the curve C.
- Cx+y+z5ds,C\int _ { C } \frac { x + y + z } { 5 } d s , C is the curve r(t) =4ti+(6cos12t) j+(6sin12t) k,0t2πr ( t ) = 4 t i + \left( 6 \cos \frac { 1 } { 2 } t \right) j + \left( 6 \sin \frac { 1 } { 2 } t \right) k , 0 \leq t \leq 2 \pi


A) 8π2+488 \pi ^ { 2 } + 48
B) 8π8 \pi
C) 8π2+248 \pi ^ { 2 } + 24
D) 8+248 + 24

Correct Answer:

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