Use Stokes's theorem to evaluate OF.dr for the given F and C. (c) F(x, y, z) = xzi+ xyj– 3xz k, C : the line segment around the plane 2x + y + z = 2 that lies in the first octant with the orientation counterclockwise looking from above. (d) F(x, y,z) = 3y i– 2xj– 4x k, C : the ellipse obtained from the intersection between the cylinder x2 + y² = 4 and the plane z = x with the orientation counterclockwise looking from above.

Q: a) f : R? → R, f (x, y) = Vy sin x 5) f : R2 → R. f (r. u) = GGrul + In (a2 + 1? – 1). /4 – 72 -

A: We will find the domain

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Q: 5) Given the point Q(2, 0, 1) and a plane p: 3x + y - 4z = 24, Find the distance from Q to p.

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A: Our objective is to find the required plane.

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