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pow:problem4s24

Problem 4 (due Monday, March 25)

A function f:R2R has the following properties:

a) the partial derivatives fx and fy are continuous on R2;

b) (fx(x,y))2+(fy(x,y))2fx(x,y) for every (x,y)R2;

c) f(x,0)=0 for all xR.

Prove that f(x,y)=0 for all (x,y)R2.

We received only one (partial) solution, from Beatrice Antoinette. For a complete solution see the following link Solution.

pow/problem4s24.txt · Last modified: 2024/03/28 01:27 by mazur