Answer:
= 8 - 11n
Step-by-step explanation:
These are the terms of an arithmetic sequence with n th term
= a + (n - 1)d
where a is the first term and d the common difference
here a = - 3 and
d = - 14 - (- 3) = - 14 + 3 = -11, thus
= - 3 - 11(n - 1)
= - 3 - 11n + 11
= 8 - 11n
Answer:
Step-by-step explanation:
Given
Dimension: 4.75in, 4.75in and 28.5in
<em>[The complete dimension is missing from the question]</em>
Required
Calculate the volume
The volume is calculated as thus:
--- approximated
Answer:
Step-by-step explanation:
Given a box with a square base and an open top which must have a volume of 296352 cubic centimetre. We want to minimize the amount of material used.
Step 1:
Let the side length of the base =x
Let the height of the box =h
Since the box has a square base
Volume,
Surface Area of the box = Base Area + Area of 4 sides
Step 2: Find the derivative of A(x)
Step 3: Set A'(x)=0 and solve for x
Step 4: Verify that x=84 is a minimum value
We use the second derivative test
Since the second derivative is positive at x=84, then it is a minimum point.
Recall:
Therefore, the dimensions that minimizes the box surface area are: