Its equivalent percent is less than 100% and its equivalent decimal is less than 0.99 or less.
For example, 1/2 is a fraction between 0 and 1. Its percentage is 50%, which is less than 100%. Its decimal is 0.50, which is less than 1 or 0.99
Assuming the area below the line y=0 (i.e. x>1) does NOT count, the area to be rotated is shown in the graph attached.
A. Again, using Pappus's theorem,
Area, A = (2/3)*1*(1-(-1))=4/3 (2/3 of the enclosing rectangle, or you can integrate)
Distance of centroid from axis of rotation, R = (2-0) = 2
Volume = 2 π RA = 2 π 2 * 4/3 = 16 π / 3 (approximately = 16.76 units)
B. By integration, using the washer method
Volume =


![=2\pi[x^4/4-2x^3/3-x^2/2+2x]_{-1}^{1}](https://tex.z-dn.net/?f=%3D2%5Cpi%5Bx%5E4%2F4-2x%5E3%2F3-x%5E2%2F2%2B2x%5D_%7B-1%7D%5E%7B1%7D)
![=2\pi([1/4-2/3-1/2+2]-[1/4+2/3-1/2-2])](https://tex.z-dn.net/?f=%3D2%5Cpi%28%5B1%2F4-2%2F3-1%2F2%2B2%5D-%5B1%2F4%2B2%2F3-1%2F2-2%5D%29)

= 16 π /3 as before
Answer:
In(8x)=[In]8 + [In]x
Step-by-step explanation:
By product rule:
![In(8x)=[In]8 + [In]x](https://tex.z-dn.net/?f=In%288x%29%3D%5BIn%5D8%20%2B%20%5BIn%5Dx)
Answer:
A two story home might use translation to have both floors identical and most homes have windows of the same size and shape so they might also use translation. Sometimes buildings use reflection to make rooms opposite each other the same.
Step-by-step explanation:
Take 1960 as 0 then find out next year's
- 1970=10
- 1980=20
- 1990=30
- 2000=40
- 2005=45
- 2010=50
Also
Divide each population by one thousand i.e turn to decimal .
This we done to create the plot on graph easily
The graph has been attached
for the below points
- (0,9.706)
- (10,10.652)
- (20,10.798)
- (30,10.847)
- (40,11.353)
- (45,11.478)
- (50,11.576)