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Evaluate H C F · dr, if F(x, y, z) = yi + 2xj + yzk,...

Evaluate H C F · dr, if F(x, y, z) = yi + 2xj + yzk, and C is the curve of intersection of the part of the paraboliod z = 1 − x 2 − y 2 in the first octant (x ≥ 0, y ≥ 0, z ≥ 0) with the coordinate planes x = 0, y = 0 and z = 0, oriented counterclockwise when viewed from above. The answer is pi/4+4/15

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