Question

Calculus III problem about the concentration of salt in a fluid at a point (x,y,z)

The concentration of salt in a fluid at (x,y,z) is given by:
F(x,y,z) = x^2 + 4y^4 + 4x^2z^2 mg/cm^3.
You are at the point (-1,1,-1).
The direction you should move if you want the concentration to increase the fastest is <-10,16,-8>.

(?)You start to move in the direction of <-10,16,-8> at a speed of 8 cm/sec. How fast is the concentration changing?
rate of change = ?

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