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Multivariable CalculusEasySurface Integrals, Stokes & Divergence

Surface Integrals, Stokes & Divergence · Easy problem

Let EE be the solid tetrahedron x≥0x \ge 0, y≥0y \ge 0, z≥0z \ge 0, x+y+z≤3x + y + z \le 3. Use the divergence theorem to find the outward flux of F=(x, 2y, 3z)\mathbf F = (x,\ 2y,\ 3z) through the boundary of EE.