Use the contour map of (x, y) in Figure 8 to explain the following statements (a) y is larger at P than at Q, and x is more negative at P than at Q (b) x (x, y) is decreasing as a function of y that is, for any fixed value x a, x (a, y) is decreasing in y y 20 le 16 14 10 016 8 4 X...

a A vertical segment through P meets more level curves than ...

Use the contour map of (x, y) in Figure 8 to explain the following statements: (a)

Question:

Use the contour map of ƒ(x, y) in Figure 8 to explain the following statements:
(a) ƒ_y is larger at P than at Q, and ƒ_x is more negative at P than at Q.
(b) ƒ_x(x, y) is decreasing as a function of y; that is, for any fixed value x = a, ƒ_x(a, y) is decreasing in y.

y 20 le 16 14 10- 016 -8- -4 X