Given: F(x, y, z) = e²z + sin(4x + 6y − z) — and P(-3,2,0). 3 (a) Find the rate of change of F at P in the direction of the vector from P to Q(0,4, -6). (b) Find the unit vector in the direction where F decreases most rapidly at P. (c) Find an equation of the plane tangent to the surface S: F(x, y, z) = 1 at P.

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