Use the chain rule to find and where 8z მs Ət' First the pieces: dz 2x+y 品 di მs dy 88 4 9 And putting it all together: this context 10x + 22y 24x + 27y Əz მა дz Ot 8z dy = 81 Ot ду 24 x + 2y 7 = 10 Variable 'x' is not defined in z = x² + xy + y², x = 4s + 7t, y = 9s + 10t

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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Need in term of s and t
Use the chain rule to find 83
First the pieces:
Əz
di
2x+y
di
as
||
дz
Ət
||
4
dy
9
მი
And putting it all to:
8z
10x + 22y
მs
24x+27y
az and
dz
dz where
Ət'
x + 2y
7
dy
10
As
Variable 'x' is not defined in
this context
di
Ət
||
-
z =
= x² + xy + y², x = 4s + 7t, y=9s + 10t
Transcribed Image Text:Use the chain rule to find 83 First the pieces: Əz di 2x+y di as || дz Ət || 4 dy 9 მი And putting it all to: 8z 10x + 22y მs 24x+27y az and dz dz where Ət' x + 2y 7 dy 10 As Variable 'x' is not defined in this context di Ət || - z = = x² + xy + y², x = 4s + 7t, y=9s + 10t
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