Answer:
Step-by-step explanation:
So we have the two functions:
And we want to find g(f(3)).
So, let's find f(3) first:
Multiply:
Subtract:
Therefore, we can substitute -1 for f(3):
Now, find g(-1):
Multiply:
Add:
And we're done!
So:
What is 100 for $10.00 as a rate
1 answer:
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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.
