Find the extremum of f(x,y) subject to the given constraint, and state whether it is a maximum or a minimum. f(x,y) = 2x + 4y"; 2x + 3y = 34 There is a V value of located at (x, y) =. (Simplify your answers.)

The altitude on the surface of a certain hill is given by A(x, y) = 100 - 2x² - y² + xy. A goat is standing at (1,2,96) and would like to go in a direction that has slope times the maximum √5 slope. Find both such directions.