Use Stokes' Theorem to evaluate integral. gif
C
F · dr where C is oriented counterclockwise as viewed from above. F(x, y, z) = xyi + yzj + zxk,
C is the boundary of the part of the paraboloid z = 1 − x2 − y2 in the first octant.

Step-by-step explanation:

the negativity shows that it is in the opposite direction

attached below is the detailed solution on how we got to this above answer using the stoke's theorem

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hc ghfrfgb

step-by-step explanation:

gedfgb nbgfrezrdfgbn bgfderdfgbvn bvfdsvcb bvfdfgb gfdgb gfr