Answer:
The volume is 
cubic units.
Step-by-step explanation:
The given curve is
The given line is
Equate both the functions to find the intersection point of both line and curve.
According to washer method:
![V=\pi \int_{a}^{b}[f(x)^2-g(x)^2]dx](https://tex.z-dn.net/?f=V%3D%5Cpi%20%5Cint_%7Ba%7D%5E%7Bb%7D%5Bf%28x%29%5E2-g%28x%29%5E2%5Ddx)
Using washer method, where a=0 and b=1, we get
![V=\pi \int_{0}^{1}[(7x)^2-(7x^6)^2]dx](https://tex.z-dn.net/?f=V%3D%5Cpi%20%5Cint_%7B0%7D%5E%7B1%7D%5B%287x%29%5E2-%287x%5E6%29%5E2%5Ddx)
![V=\pi \int_{0}^{1}[49x^2-49x^{12}]dx](https://tex.z-dn.net/?f=V%3D%5Cpi%20%5Cint_%7B0%7D%5E%7B1%7D%5B49x%5E2-49x%5E%7B12%7D%5Ddx)
![V=49\pi \int_{0}^{1}[x^2-x^{12}]dx](https://tex.z-dn.net/?f=V%3D49%5Cpi%20%5Cint_%7B0%7D%5E%7B1%7D%5Bx%5E2-x%5E%7B12%7D%5Ddx)
![V=49\pi [\frac{x^3}{3}-\frac{x^{13}}{13}]_0^1](https://tex.z-dn.net/?f=V%3D49%5Cpi%20%5B%5Cfrac%7Bx%5E3%7D%7B3%7D-%5Cfrac%7Bx%5E%7B13%7D%7D%7B13%7D%5D_0%5E1)
![V=49\pi [\frac{1^3}{3}-\frac{1^{13}}{13}-(0-0)]](https://tex.z-dn.net/?f=V%3D49%5Cpi%20%5B%5Cfrac%7B1%5E3%7D%7B3%7D-%5Cfrac%7B1%5E%7B13%7D%7D%7B13%7D-%280-0%29%5D)
![V=49\pi [\frac{1}{3}-\frac{1}{13}]](https://tex.z-dn.net/?f=V%3D49%5Cpi%20%5B%5Cfrac%7B1%7D%7B3%7D-%5Cfrac%7B1%7D%7B13%7D%5D)
Therefore the volume is cubic units.
Answer:
x = 26
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180° , then
x + 3x + 5x - 54 = 180 , that is
9x - 54 = 180 ( add 54 to both sides )
9x = 234 ( divide both sides by 9 )
x = 26
the answer would be x=-19.25
Answer:
5 : 20 = 1 : 4
Step-by-step explanation:
Common multiple is 5 so divide each number bu five.
Answer:
4.5
Step-by-step explanation:
7 1/5 = 7.2 and 1 3/5= 1.6
so, 7.2/1.6= 4.5
