The Lagrangian is
It has critical points where the first order derivatives vanish:
From the first two equations we get
Then
At these critical points, we have
(maximum)
(minimum)
Answer: 24
explanation: mode is the value that repeats most often. so, in this case, 24 repeats the most often.
The polygon is a perfect square. I graphed those points on a graph. I hope this helped if not let me know so I can try and write the correct answer.
Answer:
37.699 cubic inches of water
Step-by-step explanation:
Volume of a cone is V= 1/3 pi r^2 h
We are given that the height is 5 in and the radius is 2 in.
Plug that into the formula: V= 1/3 pi 2^2 9
1/3 x 4 x 9 = 12
Now we are left with 12 pi.
Use a calculator and multiply 12 by pi to get:
37.699
