Consider the surface integral of the vector field F = [xy², 3x², x²z] over a surface S, where S consists of the cylinder x²+y² = 1, 0szs 1, and two discs x² +y²s1, z=0 and x²+y² s1, z=1. If we apply Gaussian divergence theorem, then the value of this surface integral will be ОА. 8п О В. п 2 ос. 81 л O R None of these

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A: Step:-1 Stock's Theorem:- ∫CF.dr=∬Scurl(F). ds=∬Scurl(F). n dA Part (a):- Given that F→=9y, 3x, 6z…

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A: please comment if you need any clarification. If you find my answer useful put thumbs up. Thank you.

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A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: Consider the surface integral of the vector field F= [xy², 3x², x²z]over a surface S, where S…

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A: It is given that F→=xi+yj+ezk and the surface is x2+y2=4,1≤z≤5

Q: diverge

A: answer is in next step