The pressure on a particle at a point (x,y) is given by P(x, y) = x²ln(xy²) a. Find the rate of change of the pressure if the particle moves from (4, -1/2) to (1,3/2). b. What is the direction of most rapid decrease of pressure? c. What is the greatest rate of decrease? d. In what direction should the particle move so the pressure remains constant?

The pressure on a particle at a point (x,y) is given by P(x, y) = x²ln(xy²) a. Find the rate of change of the pressure if the particle moves from (4, -1/2) to (1,3/2). b. What is the direction of most rapid decrease of pressure? c. What is the greatest rate of decrease? d. In what direction should the particle move so the pressure remains constant?

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter3: The Derivative

Section3.3: Rates Of Change

Problem 29E: Explain the difference between the average rate of change of y as x changes a to b, and the...

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