Question 2 If z=f(u, v) where u-0.5(x² - y²) and v- xy, show that 8²2 8²z = 2(²-0) 82z əx² +45 2 0 22 aya Judy อน +2

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.4: Values Of The Trigonometric Functions
Problem 23E
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Question 2
If z=f(u, v) where u=0.5(x² - y2) and v= xy, show that
82
8¹2
əz
822
= 2u(2-3)
3x²
ay²
+4- +2.
dudv
au
Transcribed Image Text:Question 2 If z=f(u, v) where u=0.5(x² - y2) and v= xy, show that 82 8¹2 əz 822 = 2u(2-3) 3x² ay² +4- +2. dudv au
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