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Evaluate the Line Integral Along the Curve C C(x2+y2z2)ds,C\int _ { C } \left( \frac { x ^ { 2 } + y ^ { 2 } } { z ^ { 2 } } \right) d s , C

Question 2

Multiple Choice

Evaluate the line integral along the curve C.
- C(x2+y2z2) ds,C\int _ { C } \left( \frac { x ^ { 2 } + y ^ { 2 } } { z ^ { 2 } } \right) d s , C is the curve r(t) =(6t) ij+(6t) k,0t1r ( t ) = ( 6 - t ) i - j + ( 6 - t ) k , 0 \leq t \leq 1


A) 3130\frac { 31 } { 30 }
B) 3115\frac { 31 } { 15 }
C) 31302\frac { 31 } { 30 } \sqrt { 2 }
D) 1162\frac { 11 } { 6 } \sqrt { 2 }

Correct Answer:

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