(A)Let $f ( x , y ) = x ^ { 2 } - 4 x y + 2 y ^ { 2 }$

Essay

(a)Let $f ( x , y ) = x ^ { 2 } - 4 x y + 2 y ^ { 2 }$ .Find the maximum and minimum values of f on the curve $x ^ { 2 } + 2 y ^ { 2 } = 1$
(b)Use the results of part (a)to find the maximum and minimum values of $h ( x , y ) = e ^ { x ^ { 2 } - 4 x y + 2 y ^ { 2 } }$ on the curve $x ^ { 2 } + 2 y ^ { 2 } = 1$ Explain your work.