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1. Let c = (x,y,z).

(1) Calculate div c. div c =

(2) What is the magnitude of c on the unit sphere? Magnitude c =

(3) What is the surface integration of c with respect to the unit sphere?

2. Let d = (-y,x,0).

(1) Calculate curl d (or rot d). curl d =

(2) What is the magnitude of d on the unit circle? Magnitude d =

(3) What is the clockwise contour integration of d with respect to the unit circle?

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