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?

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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6. 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?
Transcribed Image Text:6. 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?
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