V = 4/3 * pi * r^3
V= 4/3 3.14 * 3^3
V = 4/3 *3.14 * 27
27 * 3.14 = 84.78
V = 4/3 * 84.78 = <span>113.04
V = </span><span>113.04
hope this helps</span>
![y=x^5-3\\ y'=5x^4\\\\ 5x^4=0\\ x=0\\ 0\in [-2,1]\\\\ y''=20x^3\\\\ y''(0)=20\cdot0^3=0](https://tex.z-dn.net/?f=y%3Dx%5E5-3%5C%5C%20y%27%3D5x%5E4%5C%5C%5C%5C%205x%5E4%3D0%5C%5C%20x%3D0%5C%5C%200%5Cin%20%5B-2%2C1%5D%5C%5C%5C%5C%20y%27%27%3D20x%5E3%5C%5C%5C%5C%0Ay%27%27%280%29%3D20%5Ccdot0%5E3%3D0)
The value of the second derivative for
is neither positive nor negative, so you can't tell whether this point is a minimum or a maximum. You need to check the values of the first derivative around the point.
But the value of
is always positive for
. That means at
there's neither minimum nor maximum.
The maximum must be then at either of the endpoints of the interval
![[-2,1]](https://tex.z-dn.net/?f=%5B-2%2C1%5D)
.
The function
is increasing in its entire domain, so the maximum value is at the right endpoint of the interval.
lol you also in mcp
;adksfj;dkjaf;dkfjkdjaf;kdsjfaksdfj;askdj;fsadklfj;askdfjsakldj;fasdkljfaskldjfasdklf
I think the answer is 240 tho im not completely sure
hope this helps
10. 4:5....added = 9
4/9 (1800) = 7200/9 = 800 (red)
5/9 (1800) = 9000/9 = 1000 (green)
there were (1000 - 800) = 200 less red ones then green ones.
11. 7/4 = 21/r
cross multiply
(7)(r) = (4)(21)
7r = 84
r = 84/7
r = 12....Rod has 12 stickers
12. 14/4 = 3.5 eggs per cup
for 16 cups...16 * 3.5 = 56 eggs
