Let

$($a$)$ ?Show that the equation f$($X$,$y$,$z$)=0$ ?defines z as a function z $=$ ?z$($x$,$y$)$ ?in a neighborhood of P$.$ ?

$($b$)$ ?State the equation of the tangent plane to the surface f$($x$,$y$,$z$)=0$ ?in P 

$($c$)$ ?Determine the shortest distance between the plane from $($b$)$ ?and the point $(1,-1,1)$ ?using Lagrange's method

Transcribed Image Text:

re+cos(2)-8 och P= (2,0,/2). re+cos(2)-8 och P= (2,0,/2).

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a To show that the equation fx y z 0 defines z as a function z zx y in a neighborhood of P we need to show that for each point x y in a neighborhood o... View the full answer