Question

Given the surface x= (3 (y-1)^2)+ (2 (z+ 3)^2)+ 7. Find an equation of the tangent plane at the point(12,2,2) in four ways:

a) By using the surface as given,x=h(y,z)

b) By writing the surface as z=f(x,y)(only keep the square root whose sign corresponds to the point(12,2,2)).

c) By writing the surface as y=g(x,z)(only keep the square root whose sign corresponds to the point(12,2,2)).

Answer 1