Question: Solve the following question and DO NOT use the formulas given in the second image Consider the vector field F (x, y, z) = =

Solve the following question and DO NOT use the formulas given in the second image Consider the vector field F(x, y, z) = = (z, y, zx) And also consider the surface S of the tetrahedron

Consider the vector field F (x, y, z) = = (z, y, zx) And also consider the surface S of the tetrahedron enclosed by the coordinate planes and the plane +3/15 + 1/4/20 1. You may assume this surface has outward orientation. Take a swing at the following two tasks: Parametrize this surface. Hint: You will need multiple parametrizations. Calculate the flux of F through S. If you use any theorems, make sure you clearly state which theorems you are using and how they are appropriate for this problem.

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