Question: 1) Let S be a surface with parametrization r ( u , v ) = (2 u v , u v , uv ). Give

1) LetSbe a surface with parametrizationr(u,v) = (2u v, uv, uv). Give an equation of the tangent plane of S at the point r(1, 1)?

2) Find the line integral of the function f (x, y, z) = xyalong the curve r(t) = (2.t3/3,t2,t),0t1.

3) LetSbe a surface with parametrizationr(u,v) = (2u v, uv, uv). Give an equation of the tangent plane of S at the point r(1, 1)?

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