Given V = x2i + y2j + z2k, integrate V · n dσ over the whole surface of the cube of side 1 with four of its vertices at (0, 0, 0), (0, 0, 1), (0, 1, 0), (1, 0, 0). Evaluate the same integral by means of the divergence theorem.

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Q: corresponding value of x and log, (305,2.4843) Certain mre (300,2.4771), and (304,2.4829),…

A: The value of x and log10x are given below: (300, 2.4771), (304, 2.4829), (305, 2.4843), and (307,…

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Q: Consider the solid D given by {(r, y, 2) € R°; ² +y° <z<2- V + y?}. D = Let F(x, y, z) = (2rz + e)i+…

A: The Divergence Theorem or Gauss's Divergence Theorem was invented and proved for the first time by…

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Q: Q = log (sin p) P = q cot p,

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A: Given:  F(x1,x2) = ex1+x2G(x1,x2) = x2ex1 + x1ex2H = F(x1,x2) - F(x2,x1)

Q: 12. A uniform volume charge density, p, = 60p C/m³, lies within the cylinder p = 1 m, and P, = 0…

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Q: Consider a system with l = 1. Use a three-component basis, |m>, which are the simultaneous…

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