Find the maximum rate of change of a function f 12x 2 yz2, Physics

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Find the maximum rate of change of a function f 12x 2 yz2

1. Using the definitions of the position vector r in the rectangular and spherical coordinate systems, show that ∇r = a r .

2. Find the maximum rate of change of a function f = 12x 2 + yz2 with respect to distance at point P(-1, 0, 1). Determine the rate of change
of f in the x, y, and z directions. What is the rate of change of f in the direction of point Q(1, 1, 1) from P?

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