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:
=5x
Step-by-step explanation:
5x(4−2)(2)
−4−(−8)
=5x :)
Answer:
$125
Step-by-step explanation:
Given:
deposit, P= $500
rate,i = 5%
time,t= 5 years
I=P*i*t
where P is principal amount
i is interest rate
t is time
I is simple interest
Putting values we get:
I=500*0.05*5
= 125 !
Answer:
34.
Step-by-step explanation:
All angles of a triangle combined equal 180, so if 1 angle measures 146, subtract 146 from 180. 180-146=34
Answer:
5x -
= 
Step-by-step explanation: