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

###### Question details

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=