Let f(x,y) be a differentiable function satisfying the equation = xy. %3D ду af and After the change of variable x-s+t and y= s-t what equation ds will satisfy?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 38E
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Let f(x,y) be a differentiable function satisfying the equation
= xy.
%3D
dx
ду
af
af
and
After the change of variable x=s+t and y= s-t what equation
ds
at
will satisfy?
2s + 2t
O a. as
dt
af
af
ds
+
at
s2 - t?
%3D
b.
s2 - t2
%3D
C.
a t
a s
af
af
-t
dt
as
= st
%3D
Od.
Transcribed Image Text:Let f(x,y) be a differentiable function satisfying the equation = xy. %3D dx ду af af and After the change of variable x=s+t and y= s-t what equation ds at will satisfy? 2s + 2t O a. as dt af af ds + at s2 - t? %3D b. s2 - t2 %3D C. a t a s af af -t dt as = st %3D Od.
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