a.) f(x,y,z) = S(x0,y0,z0) + Sx(x-x0) + Sy(y-y0) + Sz(z-z0) ,where Sx .... partial derivative with respect to x etc. b.) ?
c.) ?
Consider the surface S given by x2z + x sin y + yez - 1 = 1. Find the equation of the tangent plane to S at the point (1,0, 1). Is it possible to solve the equation defining S tor the variable y as a function of the variables x and z near (1, 0, 1)? Why? Find at (1,0, 1).
