Using Lagrange multipliers, we have the Lagrangian

with partial derivatives (set equal to 0)




Substituting the first three equations into the fourth allows us to solve for

:

For each possible value of

, we get two corresponding critical points at

.
At these points, respectively, we get a maximum value of

and a minimum value of

.
Answer:
Option 3: mean increases by 3
Step-by-step explanation:
Current mean:
[50+76+78+2(79)+80+81+2(82)+83] ÷ 10
= 77
Without the outliers:
[76+78+2(79)+80+81+2(82)+83] ÷ 9
= 80
80 - 77 = 3 (increase)
Alright give me a second ok
Answer:
27.6
Step-by-step explanation:
1) Say bens depth is x
Cam's depth is x + 4.2
Andrew's depth is x + 4.2 + 16 or x + 11.8
1) andrew's depth = x + 11.8, where x is 15.8.
Therefore, his depth is 27.6 meters.