1. If g(s, t)=f(s²-t², t²-s²) and f is differentiable, show that g satisfies the equa- tion ag ag t +S- as at

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
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Chapter3: Functions And Graphs
Section3.3: Lines
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Evaluate the followings without calculator
1. If g(s, t)=f(s²-t², t²-s²) and f is differentiable, show that g satisfies the equa-
tion
ag
ag
t +S =0
əs at
2. Evaluate f(x+2y)dA, where D is the region bounded by the parabolas y = 2x²
and y = 1 + x²
Transcribed Image Text:Evaluate the followings without calculator 1. If g(s, t)=f(s²-t², t²-s²) and f is differentiable, show that g satisfies the equa- tion ag ag t +S =0 əs at 2. Evaluate f(x+2y)dA, where D is the region bounded by the parabolas y = 2x² and y = 1 + x²
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