The concentration of salt in a fluid at ( x , y , z ) is given by F ( x , y , z ) 3 x 2 4 y 4 2 x 2 z 2 mg cm 3 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 7 cm sec How fast is the concentration changing rate of change

Question

The concentration of salt in a fluid at ( x , y , z ) is given by F ( x , y , z )   3 x 2   4 y 4   2 x 2 z 2 mg   cm   3   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 7 cm   sec   How fast is the concentration changing  rate of change

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The concentration of salt in a fluid at ( x , y , z ) is given by F ( x , y , z

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