April 23rd, 2017, 06:23 AM  #1 
Member Joined: Nov 2016 From: Kansas Posts: 65 Thanks: 0  Differentiable Map
f(a,b,c,d,h)= \begin{pmatrix} 2e^{a}+ bc 4d+3 \\ b\cos(a)  6a+2c h \end{pmatrix} Show that there is a continuously differentiable map g defined in the neighborhood of (3,2,7) with values in the neighborhood of (0,1) so that f(g(y),y)=0 with all y in the domain of g. I get that the Jacobs can define the (3,2,7) neighborhood, but how to proceed further? Or am I wrong. Help please. Last edited by skipjack; April 23rd, 2017 at 07:32 AM. 

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