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:
The first one is you don't make eye contact with others. And the second one is false
Step-by-step explanation:
Answer:I = ?, P = $500, r = 6%, t = 3 years
Step-by-step explanation:
Answer: You draw the shape on the coordinate plan and then you can count the number of unit squares
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
total number of pencils = 186
number of students = 23
number of pencils each student gets = number of pencils ÷ number of pencils
=186/23
=8.08
so each student gets 8 pencils