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  3. consider the equations u7x9y v7y29z2 wz3px3wz3px3 it is desired to...

Question: consider the equations u7x9y v7y29z2 wz3px3wz3px3 it is desired to...

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Consider the equations u=7x+9y, v=7y^2+9z^2, w=z3+px3w=z^3+px^3.
It is desired to invert these equations near (x,y,z)=(4,2,1) , (u,v,w)=(46,37,1+64p)
Find the value of p such that a local inverse is not guaranteed by the inverse function theorem.
p=

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