Indeper Variables In Exercises 7 and 8, (a) express dz/ôðu and oz/ðv 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 du and Chain Rule: Twó ahd dz/dv at the given point (u, v). 7. z = 4e* In y, x = In (u cos v), y = u sin v: (u, v) = (2, T/4) %3D

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.3: The Addition And Subtraction Formulas
Problem 76E
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#7.a Please help with part a. I'll do part b in a different question 

Indeper
Variables
In Exercises 7 and 8, (a) express dz/ôðu and oz/ðv 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 du and
Chain Rule: Twó ahd
dz/dv at the given point (u, v).
7. z = 4e* In y, x = In (u cos v), y = u sin v:
(u, v) = (2, T/4)
%3D
Transcribed Image Text:Indeper Variables In Exercises 7 and 8, (a) express dz/ôðu and oz/ðv 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 du and Chain Rule: Twó ahd dz/dv at the given point (u, v). 7. z = 4e* In y, x = In (u cos v), y = u sin v: (u, v) = (2, T/4) %3D
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