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Let F(x,y,z) = (y,−3x,y z) and G = ∇×F. Calculate the surface integral I =RRS G·ˆ

19 / 01 / 2019 Maths

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Let F(x,y,z) = (y,−3x,y z) and G = ∇×F. Calculate the surface integral I =RRS G·ˆ ndS, where the surface S is the triangular portion of the plane defined by the three vertices (x,y,z) = (2,0,0), (x,y,z) = (0,1,0), (x,y,z) = (0,0,4).
a) Sketch the surface S and write the cartesian equation of the plane. b) Write a parametrization of the surface S. c) Calculate I.


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