1.59(b), §2 Solution

Correct problem:

Bring equation of surface in standard form (zero right hand side):

A normal vector to a surface in standard form is given by the gradient of F:

At P, (x,y,z)=(3,-2,1), so:

Tangent plane:

or

Can divide by 2 to simplify:

3 x - 6 y - 5 z = 16