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 =
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 =
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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concentration of salt in a fluid at (x, y, z) is given by F(x, y, z) = 3x² + 3y² + 2x²z² 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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