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:
$10.01
where x = 4.1/10 x=14.11
Step-by-step explanation:
-7x^2 + 32x + 240
-7x^2 +32x
-49x+32 +240
240/17x = 17/240
240/49x = 4 9/10
x = 14.11 - 4. 10 9/10
x = -4.01
rounded to 2dp
x = 14.11
x = -4.01
Tacos should be priced at $10.01
Answer:
Let x be the width of the screen and
x + 30 be the length of the screen
Area of the screen = 10384 square feet
=>x(x+30) = 10384
x^2 + 30x = 10384
x^2 + 30x - 10384 = 0
Splitting-
x2+118x - 88x -10384 = 0
x(x+118) -88(x+118) = 0
(x+118)(x-88) = 0
x=-118,88
Since width should be positive,
width = 88 feet
length = 118 feet
Step-by-step explanation:
Answer:
x=2
Step-by-step explanation:
both equations represent y so
2x-6= -x
rearrange the equation to bring the like terms together
2x+x= 6
3x=6
divide by 3 on both sides to get
x=2
