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April 23rd, 2017, 06:23 AM   #1
ZMD
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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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