ind a unit vector in the direction in which fincreases most rapidly at P, and find the rate of change of f at P in that direction. f(x, y, 2) = tan-! y+z P(4, 2, 2)

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Q: determine the unit vector of the direction from which f grows fastest in P and determine the rate of…

A: Here I am attaching image so that you understand each and every step.

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Q: Find one normal vector of the tangent plane to f(x, y) = cos(x² +y²) at point P(1,1, cos 2).

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Q: Let f(x, y, z) = 3ex cos(yz). a) Find the directional derivative of f at P(0, 0, 0) in the…

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Q: Find the velocity and acceleration vectors in terms of u, and ug- do r= a(7 - sin 0) and =7, where a…

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A: We can answer first question as per the honor policy. Please resubmit other parts as well to know…

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Q: Find the velocity and acceleration vectors in terms of u, and ug- de r= a(7- sin 0) and =7, where a…

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Q: Suppose that over a certain region of space the electrical potential V is given by V (x, y, z) = 6x²…

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