Answer:
Step-by-step explanation:
If you graph there would be two different regions. The first one would be

And the second one would be
.
If you rotate the first region around the "y" axis you get that

And if you rotate the second region around the "y" axis you get that

And the sum would be 2.51+4.188 = 6.698
If you revolve just the outer curve you get
If you rotate the first region around the x axis you get that

And if you rotate the second region around the x axis you get that

And the sum would be 1.5708+1.0472 = 2.618
Answer:
$85
Step-by-step explanation:
5000 x $70 = $350,000
4950 x $71 = $351,450
4900 x $72 = $352,800
etc.
Create an equation for the monthly revenue:
f(n) = (5000 - 50n) x (70 + n)
= 350000 + 5000n - 3500n - 50n²
= 350000 + 1500n - 50n²
where n is the amount the ticket price is increased from $70.
Differentiate, equal to zero and solve for n to find the value of n when the monthly revenue is at its maximum:
f'(n) = 1500 - 100n
1500 - 100n = 0
1500 = 100n
15 = n
Therefore, the maximum monthly revenue is when n = 15.
So the cost of the ticket will be 70 + n = 70 + 15 = 85
Simplify the expression.
5x+6y+ 16