The concentration of salt in a fluid at (x, y, z) is given by F(x, y, z) = 3x² + 3y² + 2x²x2 mg/cm³. You are at the point (1, 1, 1). (a) In which direction should you move if you want the concentration to increase the fastest? direction: (Give your answer as a vector.) (b) You start to move in the direction you found in part (a) at a speed of 3 cm/sec. How fast is the concentration changing? rate of change =

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A:

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A:

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A:

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A: Here we take a general matrix of the given set then find the basis.

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A:

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A:

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A: using online vector field graphing we get 1-A 2-C