Let z =f (x,y),x=x(u,v), and y=y(u,v) With x (5,3) =4 and y (5,3) =2. Calculate Z (u,v) at u=5,v=3 in terms of the values given in the table below: f,(5,3) =rf,(5,3) =qx_ (5,3) = 1y (5,3) =2 y f,(4,2) =df,(4,2) =s x_ (: (5,3) =py (4,2) = – 4 y

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 52E
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Let z=f (x,y),x=x(u,v), and
y=y(u,v)
with
x(5,3) =4
and
y(5,3) =2.
Calculate
z (u,v) at u =5,v=3 in terms of the
values given in the table below:
f (5,3) =rf(5,3) =qx (5,3) = 1y (5,3) =2
*„(5,3) =1y,(5,3) =2
y
f (4,2) =df,(4,2) =s x (5,3) =p|y_(4,2) = – 4
y
Transcribed Image Text:Let z=f (x,y),x=x(u,v), and y=y(u,v) with x(5,3) =4 and y(5,3) =2. Calculate z (u,v) at u =5,v=3 in terms of the values given in the table below: f (5,3) =rf(5,3) =qx (5,3) = 1y (5,3) =2 *„(5,3) =1y,(5,3) =2 y f (4,2) =df,(4,2) =s x (5,3) =p|y_(4,2) = – 4 y
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