Let C1 be the circle of radius 3 in the xy-plane orientedcounterclockwise and centered

Chapter 20, Problem 47

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Let C1 be the circle of radius 3 in the xy-plane orientedcounterclockwise and centered at the origin. LetF = yi + xjx2 + y(a) FindC1F dr by direct computation.(b) Calculate curl F .(c) If possible, use Stokes Theorem to calculateC1 F dr ? If it cannot be used, explain why not.(d) Let C2 be the circle of radius 3 in the xy-plane centeredat (5, 0). If possible, use Stokes Theorem tocalculateC2F dr ? If it cannot be used, explainwhy not.(e) Is F a gradient field?4

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