Answer:
The volume is:
Step-by-step explanation:
See the sketch of the region in the attached graph.
We set the integral using washer method:
Notice here the radius of the washer is the difference of the given curves:
So the integral becomes:
We solve it:
Factor 
out and distribute the exponent (you can use FOIL):
Notice: 
So the integral becomes:
Then using the basic rule to evaluate the integral:
Simplifying a bit:
Then plugging the limits of the integral:
![\displaystyle\pi\left[\frac{4^3}{3}-\frac{4(4)^{5/2}}{5}+\frac{4^2}{2}-\left(\frac{1}{3}-\frac{4}{5}+\frac{1}{2}\right)\right]](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Cpi%5Cleft%5B%5Cfrac%7B4%5E3%7D%7B3%7D-%5Cfrac%7B4%284%29%5E%7B5%2F2%7D%7D%7B5%7D%2B%5Cfrac%7B4%5E2%7D%7B2%7D-%5Cleft%28%5Cfrac%7B1%7D%7B3%7D-%5Cfrac%7B4%7D%7B5%7D%2B%5Cfrac%7B1%7D%7B2%7D%5Cright%29%5Cright%5D)
Taking the root (rational exponents):
![\displaystyle\pi\left[\frac{4^3}{3}-\frac{4(2)^{5}}{5}+\frac{4^2}{2}-\left(\frac{1}{3}-\frac{4}{5}+\frac{1}{2}\right)\right]](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Cpi%5Cleft%5B%5Cfrac%7B4%5E3%7D%7B3%7D-%5Cfrac%7B4%282%29%5E%7B5%7D%7D%7B5%7D%2B%5Cfrac%7B4%5E2%7D%7B2%7D-%5Cleft%28%5Cfrac%7B1%7D%7B3%7D-%5Cfrac%7B4%7D%7B5%7D%2B%5Cfrac%7B1%7D%7B2%7D%5Cright%29%5Cright%5D)
Then doing those arithmetic computations we get:
I'm sorry I don't know but you can use photomath you can just download it from the App
Answer:
y=3x
idk
Step-by-step explanation:
I know this is only half an answer, but for a they have the same slope and it's proportional so it has no b value.
Answer:
D) -2.14< root10 <|-2.8|
Step-by-step explanation:
the value for -2.14 is as plain as you can see, the negative version of 2.14.
The square root of 10 is 3.16227766.
The lines next to -2.8 is asking for the absolute value of -2.8, or the distance between that number and zero. The distance between -2.8 and 0 is positive 2.8, because distance can't be negative.
The 3 numbers taken from the explanations are -2.14, 3.16, and 2.8. Ranking them from least to greatest would give you -2.14, 2.8, 3.16, or -2.14< root10 <|-2.8|
Answer:
n = 24 - 8.
Step-by-step explanation:
n + 8 = 24
Subtract 8 from each side:
n + 8 - 8 = 24 - 8
n = 24 - 8.
