Solve the following question and DO NOT use the formulas given in the second image Consider the

Solve the following question and DO NOT use the formulas given in the second image 

Transcribed Image Text:

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. 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.