Consider the function k f(x, y, z) = KER. x2 + 92 + 2 2 i) Construct T(x, y, z), the first order Taylor series of f expanded about (To, yo, 20). ii) Show that T can be written T(r) = f(Io)- k f( r ) (Co . (r - To) ) where we are using the general notation g(r) = g(x, y, z). iii) Compute the tangent plane with r = 12 + 2j + 3k and f(r ) = 1