If F admits continuous partial derivatives and the equation F (3x − y, z² — x²) = 0 - - defines to z implicitly as a function of x and y, then by taking u = 3x - y y so, the value of the expression: corresponds to: -3Fu Fu A) B) D) -3Fu 2zFw 3Fu Fw 3Fu 2zFw əz əx I X Z w = 2² - 7²

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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If F admits continuous partial derivatives and the equation F (3x − y, z² − x²) = 0
defines to z implicitly as a function of x and y, then by taking u = 3x -y y w = z² = x²
so, the value of the expression:
corresponds to:
-3Fu
Fw
A)
B)
D)
-3Fu
2zFw
3Fu
Fw
3Fu
2zFw
əz
əx
X
Z
Transcribed Image Text:If F admits continuous partial derivatives and the equation F (3x − y, z² − x²) = 0 defines to z implicitly as a function of x and y, then by taking u = 3x -y y w = z² = x² so, the value of the expression: corresponds to: -3Fu Fw A) B) D) -3Fu 2zFw 3Fu Fw 3Fu 2zFw əz əx X Z
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