Find the outward flux of the vector field
Use Divergence Theorem to find the outward flux of the vector field F= xi + yj +zk, where E is the solid region bounded by the sphere (x^2) + (y^2) + (z^2) = 4 and the cone z = sqrt((x^2) + (y^2)).
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Find all functions f:R->R satisfying the functional equation f((x-y)^2)=f(x)^2-2xf(y)+y^2.
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