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[tex]s\int\int[/tex]F*Nds

F(x,y,z) = x*i + y*j - 2z*k

S: Z = [tex]\sqrt{}a^2 - x^2 -y^2[/tex]

I solved for delG and doted F to del G. then I converted it polar since I had x^2 + y^2

I got:

[tex]\int\int[/tex]r^3/(a^2-r^2)^(1/2)drdo - 2[tex]\int\int[/tex](a^2-r^2)rdrdo

I evaluated the double integral and got 4/3pi(a^2+a^3)

sorry for the shortcut guys, its just so much stuff to type if I try to some the work. Plz, tell me if my answer is wrong.

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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# Homework Help: CalcIII questions

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