Use the divergence theorem to evaluate = z²xi + (v3³. F(x, y, z) = z²xi + S F⚫ds, where + tan¯¹(z) ) j + (x² + y²) k and S is the top half of the sphere x² + y²+ z² [Hint: Note that S is not a closed surface. First compute integrals over S₁ and S2, where S₁ is the disk x² + y² ≤ 4, oriented downward, and S₂ = 2 SUS₁.]

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Q: 2. Using either long division or synthetic division: x4 _3x³+æ²+6x–10 x-2

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Q: JJs where S is the sphere x² + y2 + z2 = 1.

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