Answer:
Step-by-step explanation:
The volume of the solid revolution is expressed as;
Given y = 2x²
y² = (2x²)²
y² = 4x⁴
Substitute into the formula
![V = \int\limits^2_0 {4\pi x^4} \, dx\\V =4\pi \int\limits^2_0 { x^4} \, dx\\V = 4 \pi [\frac{x^5}{5} ]\\](https://tex.z-dn.net/?f=V%20%3D%20%5Cint%5Climits%5E2_0%20%7B4%5Cpi%20x%5E4%7D%20%5C%2C%20dx%5C%5CV%20%3D4%5Cpi%20%5Cint%5Climits%5E2_0%20%7B%20x%5E4%7D%20%5C%2C%20dx%5C%5CV%20%3D%204%20%5Cpi%20%5B%5Cfrac%7Bx%5E5%7D%7B5%7D%20%5D%5C%5C)
Substituting the limits
![V = 4 \pi ([\frac{2^5}{5}] - [\frac{0^5}{5}])\\V = 4 \pi ([\frac{32}{5}] - 0)\\V = 128 \pi/5 units^3](https://tex.z-dn.net/?f=V%20%3D%204%20%5Cpi%20%28%5B%5Cfrac%7B2%5E5%7D%7B5%7D%5D%20-%20%5B%5Cfrac%7B0%5E5%7D%7B5%7D%5D%29%5C%5CV%20%3D%204%20%5Cpi%20%28%5B%5Cfrac%7B32%7D%7B5%7D%5D%20-%200%29%5C%5CV%20%3D%20128%20%5Cpi%2F5%20units%5E3)
Hence the volume of the solid is
Answer:
B) c=25 +10p +5h
id expect 25 per night with the n variable next to it but i guessed not
, but one night would cost 25 but with the addition of 10 per person and 5 for every hour of a late checkout
Answer:
It will take him -6.24
Step-by-step explanation:
By 10.
3.7 X 10 = 37 (in a calculator)
Answer: Nicole can spend up to 7 hours in the boat.
Step-by-step explanation:
Based on the information given in the question, the possible number of hours that can be used will be calculated as thus:
(6 × t) - 9 ≤ 33
6t - 9 ≤ 33
Collect like terms
6t ≤ 33 + 9
6t ≤ 42
Divide both side by the coefficient of t
6t/6 ≤ 42/6
t ≤ 7
Nicole can spend up to 7 hours in the boat.
