Consider the functions z = 7 e* In y, x = In (u cos v), and y = u sin v. ex əz dz (a) Express and 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. ди dz (b) Evaluate and at (u,v) = 2, ди 818818 Əv əz Əv

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 78E
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Consider the functions z = 7 ex Iny, x= In (u cos v), and y = u sin v.
əz
əz
(a) Express and
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.
ди
Əv
əz
T
(b) Evaluate and
at (u,v) = 2,
ди
3
əz
Əv
Transcribed Image Text:Consider the functions z = 7 ex Iny, x= In (u cos v), and y = u sin v. əz əz (a) Express and 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. ди Əv əz T (b) Evaluate and at (u,v) = 2, ди 3 əz Əv
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