Exercise 1.3: Determine if z(x,y) is a state function in the following cases. a) dz = xdx + ydy; b) dz = ydx – xdy Exercise 1.4: Integrate dz in exercise 1.3 assuming a change from (x,y) = (0,0) to (x,y) = (1,1) through two possible paths. Path A: (0,0) → (1,1) and Path B: (0,0) → (0,1) → (1,1). Comment. %3D

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.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 12CR
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Exercise 1.3: Determine if z(x,y) is a state function in the following cases.
a) dz = xdx + ydy;
b) dz = ydx – xdy
Exercise 1.4: Integrate dz in exercise 1.3 assuming a change from (x,y) = (0,0) to (x,y) = (1,1)
through two possible paths. Path A: (0,0) → (1,1) and Path B: (0,0) → (0,1) → (1,1). Comment.
%3D
Transcribed Image Text:Exercise 1.3: Determine if z(x,y) is a state function in the following cases. a) dz = xdx + ydy; b) dz = ydx – xdy Exercise 1.4: Integrate dz in exercise 1.3 assuming a change from (x,y) = (0,0) to (x,y) = (1,1) through two possible paths. Path A: (0,0) → (1,1) and Path B: (0,0) → (0,1) → (1,1). Comment. %3D
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