y, 4e* In y, x = In (u cos v), y = u sin v; 4e* In (u, v) = (2, π/4) 7. z =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 6E
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Please express z directly in terms of u and v. No need to do first part (i.e. Chain Rule) 

Chain Rule: Two and Three Independent Variables
In Exercises 7 and 8, (a) express az/au and az/av as functions of u
and v both by using the Chain Rule and by expressing z directly in
terms of u and v before differentiating. Then (b) evaluate az/au and
az/au at the given point (u, v).
=
7. z 4e* ln y, x = ln (u cos v), y = u sin v;
(u, v) = (2, π/4)
Transcribed Image Text:Chain Rule: Two and Three Independent Variables In Exercises 7 and 8, (a) express az/au and az/av as functions of u and v both by using the Chain Rule and by expressing z directly in terms of u and v before differentiating. Then (b) evaluate az/au and az/au at the given point (u, v). = 7. z 4e* ln y, x = ln (u cos v), y = u sin v; (u, v) = (2, π/4)
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