F F 11:02 10 716BAJA 56% + - 3b NYU MATH-UA 212-011 6. Consider the contour diagram of a function f(x, y), constraint g(x, y) = 3, and a point P(2, 1). Which of the following are true statements? (I) Vf(2, 1) is perpendicular to Vg(2, 1) (II) The minimum of f(x, y) subject to constraint g(r, y) = 3 is attained at P(2, 1). (III) The maximal value of f(x, y) sub- g(x, y) = 3 ject to constraint g(r, y) = 3 is 4. P(2, 1) (A) I only (D) I and III (B) III only (C) II only (E) I, II, and III 14 +7. Let f(x, y) be the same as in problem 6. Which of the following vectors points in the direction of greatest increase of f at P(2, 1) (A) (1, 0) (D) (B) (0, 1) 1 1 1 1 (C) - V2 V2 (E) V2