Answer: 
Step-by-step explanation:
1. You have the following formula for calculate the area of the original circular chip:

Where D is the diameter of the circle.
2. Then, if the diameter of the original circular chip is doubled (2D) to use in a new board game, the area of the new chip can be calculated with the following formula:

The Lagrangian,

has critical points where its partial derivatives vanish:





tells us
, so that


Then with
, we get

and
tells us

Then there are two critical points,
. The critical point with the negative
-coordinates gives the maximum value,
.
Answer:
He ended up with about 1 pound less grapes.
Step-by-step explanation:
Answer:4141
Step-by-step explanation:‘smsvxhxjcb
Answer: No.
Step-by-step explanation: Sub -1/2 in for u in the equation:
8(-1/2) - 1 =6(-1/2)
=-4-1 = -3
=
-5=-3 which is false, so it is not a solution