Find the 2 critical points of the given function and then determine whether it is a local maximum, local minimum, or saddle point. (order your answers from smallest to largest x, then from smallest to largest y.)
f(x, y) = (x − y)(xy − 9)

Step-by-step explanation:

Given is a function f in two variables as

To find critical points of the given function and also to find max, min or saddle point.

Find the partial derivatives

Equate first derivatives to 0

Adding fx and fy we get

x=±y

Only real roots are (x,y) =(3,3) and (-3,-3)

(3,3) is a saddle point

(-3,-3) is also a saddle point.

a

step-by-step explanation:

answer: an 8-foot rope is tied from the top of a pole to a

stake in the ground, as shown in the diagram

below

step-by-step explanation: