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Use Stokes' Theorem to Calculate the Circulation of the Field

Question 73

Multiple Choice

Use Stokes' Theorem to calculate the circulation of the field F around the curve C in the indicated direction.
- F=3yi+5xj+6z3k;C: the portion of the plane 8x+5y+8z=10 in the first quadrant \mathbf { F } = - 3 \mathrm { y } \mathbf { i } + 5 \mathrm { x } \mathbf { j } + 6 \mathrm { z } ^ { 3 } \mathbf { k } ; \mathrm { C } : \text { the portion of the plane } 8 x + 5 y + 8 z = 10 \text { in the first quadrant }


A) 8
B) - 10
C) 10
D) 0

Correct Answer:

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