1. Let f : R? →R be a function with continuous second partial derivatives, and define g(r, 0) = f(r cos 0,r sin 0). Prove that f, f&g, 1ôg 1 dg 72 302 r dr
1. Let f : R? →R be a function with continuous second partial derivatives, and define g(r, 0) = f(r cos 0,r sin 0). Prove that f, f&g, 1ôg 1 dg 72 302 r dr
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:1. Let f : R? → R be a function with continuous second partial derivatives, and
define
g(r, 0) = f(r cos 0,r sin 0).
Prove that
f, f
1 dg
%3D
r Ör
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