Find the maximal directional derivatives of x^3y^2z at (1,-2,3), 4⎷91, 50, 88.8, Find the curl of yzi + 3xzj +zk at (2,3,4), 0.5i + 7j + 55k, 10i + 5j + 10k, -6i + 3j + 8k, Find ∇·A̅ given A̅= 1/r (xi + yj +zk) where r = √x^2 + y^2 + z^2, 5/r, 2/r, 1, Find the value of constant b such that A̅= (bxy − z^3)i + (b-2)x^2j + (1-b)xz^2k has its curl identically equal to zero, 1, 4, 17, Determine the directional derivatives of f=xy^2 +yz^3 at the point (2,-1,1) in the direction of the vector i+2J+2k, 11/3, 12/3, 13/3

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