Answer:
Step-by-step explanation:
Consider the graphs of the 
and 
.
By equating the expressions, the intersection points of the graphs can be found and in this way delimit the area that will rotate around the Y axis.
then 
o 
. Therefore the integration limits are:
and 
The inverse functions are given by:
and 
. Then
The volume of the solid of revolution is given by:
![\int\limits^{64}_ {0} \, [2\sqrt{y} - \frac{y}{4}]^{2} dy = \int\limits^{64}_ {0} \, [4y - y^{3/2} + \frac{y^{2}}{16} ]\ dy = [2y^{2} - \frac{2}{5}y^{5/2} + \frac{y^{3}}{48} ]\limits^{64}_ {0} = 546.133 u^{2}](https://tex.z-dn.net/?f=%5Cint%5Climits%5E%7B64%7D_%20%7B0%7D%20%5C%2C%20%5B2%5Csqrt%7By%7D%20-%20%5Cfrac%7By%7D%7B4%7D%5D%5E%7B2%7D%20%20dy%20%3D%20%5Cint%5Climits%5E%7B64%7D_%20%7B0%7D%20%5C%2C%20%5B4y%20-%20y%5E%7B3%2F2%7D%20%2B%20%5Cfrac%7By%5E%7B2%7D%7D%7B16%7D%20%5D%5C%20%20dy%20%3D%20%5B2y%5E%7B2%7D%20-%20%5Cfrac%7B2%7D%7B5%7Dy%5E%7B5%2F2%7D%20%2B%20%5Cfrac%7By%5E%7B3%7D%7D%7B48%7D%20%5D%5Climits%5E%7B64%7D_%20%7B0%7D%20%3D%20546.133%20u%5E%7B2%7D)
Answer:
No it's not. 6 to the 2nd power + 8 to the 2nd power ≠ 12 to the 2nd power
Step-by-step explanation:
If you square the shorter lengths and add them together, they add up to one hundred
6^2 + 8^2 --> 38 + 64 = 100
Once you square 12 it equals 144
144 does not equal 100. There for it can't be a right triangle. To be a right triangle, it has to have a ratio pf 3: 4: 5.
Ex: 6: 8: 10, 12: 16: 20, etc.
Hope this helps!
41 divided by 5 = 8.2
She should pour 8.2 pounds in each dish
Answer
D
Hope this help you?
Area of a rectangle = length * width.
So L * w = 864
But w = 2/3L
So we have L * 2/3L = 864
L^2 = 864 * 3/2 = 1296
L = âš 1296
L= 36 and width = 2/3 * 36 = 72/3 = 24
