You are given coordinates x, y and u, v for which ds² = dx² − dy² = du du. Find the coordinate - transformation u = u(x, y) and v = v(x, y): u(x, y) = v(x, y) =

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.
Chapter9: Multivariable Calculus
Section9.4: Total Differentials And Approximations
Problem 2E: Evaluate dzusing the given information. z=5x3+2xy24y;x=1,y=3,dx=0.01,dy=0.02.
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You are given coordinates x, y and u, v for which
dx² – dy² = du dv. Find the coordinate
transformation u = u(x, y) and v = = v(x, y):
ds²
=
u(x, y) =
v(x, y) =
Transcribed Image Text:You are given coordinates x, y and u, v for which dx² – dy² = du dv. Find the coordinate transformation u = u(x, y) and v = = v(x, y): ds² = u(x, y) = v(x, y) =
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