Answer:
The volume of the solid = π²
Step-by-step explanation:
As per the given data of the questions,
The diameter of each disk is
D = 2 sin(x) - 2 cos(x)
So its radius is
R = sin(x) - cos(x).
The area of each disk is
![= \pi \times [sin^{2}(x) - 2 sin(x) cos(x) + cos^{2}(x)]](https://tex.z-dn.net/?f=%3D%20%5Cpi%20%5Ctimes%20%5Bsin%5E%7B2%7D%28x%29%20-%202%20sin%28x%29%20cos%28x%29%20%2B%20cos%5E%7B2%7D%28x%29%5D)
![= \pi[1-2sin(x)cos(x)]](https://tex.z-dn.net/?f=%3D%20%5Cpi%5B1-2sin%28x%29cos%28x%29%5D)
![= \pi[1-sin(2x)]](https://tex.z-dn.net/?f=%3D%20%5Cpi%5B1-sin%282x%29%5D)
Now,
Integrate from 
, we get volume:
![V=\int_{\frac{\pi}{4}}^{\frac{5\pi}{4}} \pi[1-sin(2x)]dx](https://tex.z-dn.net/?f=V%3D%5Cint_%7B%5Cfrac%7B%5Cpi%7D%7B4%7D%7D%5E%7B%5Cfrac%7B5%5Cpi%7D%7B4%7D%7D%20%5Cpi%5B1-sin%282x%29%5Ddx)
After integrate without limit we get
![V=\pi[x+\frac{cos2x}{2}]](https://tex.z-dn.net/?f=V%3D%5Cpi%5Bx%2B%5Cfrac%7Bcos2x%7D%7B2%7D%5D)
Now after putting the limit, we get
V = π²
Hence, the required volume of the solid = π²
Answer:
y = 12^8
Step-by-step explanation:
Log base 12, y^2 = 16
y2 = 12^16
y = sqrt ( 12^16) = (12^16)^1/2
y = 12^8
Answer:
Do what the 6th grader said
Step-by-step explanation:
They smart
Answer:
B. 5/6
Step-by-step explanation:
÷ 
= 0.83333333
0.83333333 ≈ 
Hope this helps :)
Answer:
A. $307,172.72
Step-by-step explanation:
Inez has to pay 4 percent in closing costs and 16 percent for the down payment on a purchase of $225,500 with an ARM.
4% + 16% = 20%
lnez has to pay 20% of $225,500
= 225,500*20/100
= 225,500*0.2
= $45100
lnez has to pay $45100.
Over the life of the loan, lnez will pay $262,072.72
Now we have to add down payment, closing cost and the payment over the life of the loan.
$45100 + $262,072.72
= $307,172.72
Answer: A. $307,172.72
Thank you.
