Answer:



Step-by-step explanation:
Given




Required
The dimension that minimizes the cost
The volume is:

This gives:

Substitute 


Make H the subject


The surface area is:
Area = Area of Bottom + Area of Sides
So, we have:

The cost is:



Substitute:
and 



To minimize the cost, we differentiate

Then set to 0


Rewrite as:

Divide both sides by W

Rewrite as:

Solve for 


Take cube roots

Recall that:







Hence, the dimension that minimizes the cost is:



Answer:
no.3
Step-by-step explanation:
an = 2n + 10
The answer is B, I attached a picture of the steps.
Answer:
x = - 7
Step-by-step explanation:
Using the rule of exponents
×
= 
Given
×
= 6², then
= 6²
Since the bases on both sides are equal then equate the exponents
9 + x = 2 ( subtract 9 from both sides )
x = - 7