Answer:
28:u multiply something 3 times therefore it is 1/3
29: because the numbers are unknown
Step-by-step explanation:
![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.
Answer:
5 * 5 * 5 * 5
Step-by-step explanation:
Use the rules of Indices.
5⁶⁻²
= 5⁴
Answer:
Step-by-step explanation:
1. find out how many times 21 can go into 52 (answer- 2 times)
2. find the remainder (answer- 10)
3. put the remainder over 21 (10/21)
4. make it a mixed number (2 10/21)
<em><u>Hi there (◕‿-)</u></em>
<em><u /></em>
Since both equations are equal to y, they must equal each other. So set them to equal each other.
28 + 0.05x = 25 + 0.07x (✿ ♥‿♥)
Let's start by subtracting 25 from both sides!
3 + 0.05x = 0.07x (28-25=3, 25-25=0)
Now let's subtract 0.05 from both sides Ｏ(≧▽≦)Ｏ
3 = 0.02x
We need this x by itself, so let's get rid of it. Do this by divide both sides by 0.02 （ ´_⊃｀）
150 = x
So x = 150. Let's test this. Substitute 150 in for x in both equations! ＼（＾○＾）人（＾○＾）／
28+0.05(150) = 25+0.07(150)
28 + 7.5 = 25 + 10.5 (0.05*150=7.5, 0.07*150 = 10.5)
35.5 = 35.5
It works! (ﾉ◕ヮ◕)ﾉ*:･ﾟ✧
So x = 150
