Answer:
The maximum volume of the open box is 24.26 cm³
Step-by-step explanation:
The volume of the box is given as
, where
and
.
Expand the function to obtain:

Differentiate wrt x to obtain:

To find the point where the maximum value occurs, we solve



Discard x=3.54 because it is not within the given domain.
Apply the second derivative test to confirm the maximum critical point.
, 
This means the maximum volume occurs at
.
Substitute
into
to get the maximum volume.

The maximum volume of the open box is 24.26 cm³
See attachment for graph.
Answer:
(10-2)÷4.
Step-by-step explanation:
We are to select the correct expression that represents a number that is one fourth as great as 10-2.
Let the required number be represented by x.
7,14,21,28,35
Multiply 7 by 1-5
Answer:
3 units
Step-by-step explanation:
So if we want to know how high the spring board is, this will need to be the time at which the diver is still at the top of the board, in this case t = 0 seconds.
So we will need to find h(0)
- h(0) = 5(0)² + 10(0) + 3 = 0 + 0 + 3 = 3
Answer is b the answer is because there is no C or D in my conversations are in my store