Find the absolute maximum and minimum values
of *f* on the set
*D*.

f(x, y) = 4x + 6y – x

^{2}– y^{2}+ 2,D = {(x, y) | 0 <= x <= 4, 0 <= y <=
5}

If
possible, could you also help with:

Use
Lagrange multipliers to find the maximum and minimum values of the
function subject to the given constraint. (If an answer does not
exist, enter DNE.)

f(x, y, z) = 14x + 18y + 12z; x

^{2}+ y^{2}+ z^{2}= 166## Answer

Answer question