Answer:
all work is pictured and shown
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.
So we need to convert 0.75 feet to inches.
0.75 feet = 9 inches
Then we divide 9 by how many hours are in a day: 24
9/24 = 0.375
The raindrop vine can grow up to 0.375 inches per hour.
Answer:
0,4, That is the y intercept.
Step-by-step explanation:
Hope I helped :)
The answer you are looking for is 12.0