Calculus 3 Quiz
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INTEGRAL THEOREMS
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Consider the vector field F⃗=⟨x+y2z,y+x2z,z+x2y2⟩\vec{F} = \langle x + y^2z, y + x^2z, z + x^2y^2 \rangle and the closed surface SS that bounds the region between two concentric spheres: 1≤x2+y2+z2≤41 \leq x^2 + y^2 + z^2 \leq 4. The surface SS consists of the outer sphere (radius 2) with outward normal and the inner sphere (radius 1) with inward normal. If we want to apply the Divergence Theorem directly to find the flux through SS, what is the correct setup?
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