Find the flux of the vector field F across the surface S in the indicated direction. F = 6x i + 6y j + z k; S is portion of the plane x + y + z = 6 for which 0 ≤ x ≤ 4 and 0 ≤ x ≤ 3 direction is outward (away from origin) HINT: rewrite the equation of the plane as z=6-x-y, then this is the case of z=f(x,y) a) - 138 b) 246 c) 564 d) 282

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