What is the critical point of the following function? f(x, y) = xy² (2 - x - y) Choose the correct answer, justify O (1/2, 1) O (1,1/2) O (-1,-1/2) O (-1/2,-1)

Use the table below to fill in the missing values. f(x) 6 9 3 7 1 X 0 1 2 3 4 6 8 ∞9 9 ƒ(8) = = f-¹(4)= if ƒ−¹(x) ONS = 4 if f(x) = 9 then x = 5 1 then x =

1 What is the direction of fastest increase at (-3, 4, –4) for the function f(x, y, z) = x2 + y? + z2 (Use symbolic notation and fractions where needed. Give your answer in the form (*, *, *).) direction:

2 (x² – x – 6) 4. State the domain of the following function : R (x) = 7 (x*+4х-21) 4x – 21)