Use the Divergence Theorem to evaluate ∬SF⋅dS∬SF⋅dS , where F(x,y,z)=⟨xz,x2+y2,z−2yz⟩F(x,y,z)=⟨xz,x2+y2,z−2yz⟩ and SS is the surface of the solid bounded by the xy−xy− plane, the plane z=6z=6, and the cylinder x2+y2=9x2+y2=9. Assume an outward orientation. ∬SF⋅dS=∬SF⋅dS=

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Q: Use Divergence Theorem to find the volume of a quadric surface z² + 3y + 4x² = 3 with the solid…

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Q: 4.) Verify the Divergence Theorem where F(x, y, z)=(x',xz,3z) given by x' + y +z² <4. and E is the…

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Q: Verify the Divergence Theorem by evaluating F.N ds as a surface integral and as a triple integral.…

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Q: Use Divergence Theorem to find the volume of a quadric surface z² + 3y + 4x² = 3 with the solid…

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Q: 5/ MATH

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Q: Use the Divergence theorem to evaluate F. · dS where F (x, y, z) = (4x – z²) i+ (x+3z)j+(6 – z) k…

A: Using divergence theorem:  ∫∫SF.ds=∫∫∫V∇F.dv

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A: Divergence theorem: ∭V ∇.FdV = ∬S F.n^dΣ                         (1) Given, F→x,y,z = 5+2yzi^ +…

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Q: (3) Verify the divergence theorem where (a) F(x, y, z) planes x = 0, x = 1, y = 0, y = 1, z = (b)…

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Q: calculate the flux of F across S. F(x, y, z) = xyezi + xy2z3j − yezk, S is the surface of the box…

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