7/20 is equal to 0.35 or can also be equal to 35% of the whole.
Answer:
h≈3.6
Step-by-step explanation:
The correct answer is h≈3.6
Formula- Radius and volume
Hope this helps
The first thing you need to do is calculate the slope. pick 2 of the ordered pairs.
i'll use (1, 4) and (0, 6)
m = (6 - 4)/(0 - 1)
m = (2)/(-1)
m = -2
so the slope is -2. slope intercept form is written as y = mx + b and you have one part of that equation
y = -2x + b
to find b, use one of the selected points. i'll use (0, 6).
(6) = -2(0) + b
6 = b
b = 6
therefore:
y = -2x + 6
![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:
Step-by-step explanation:
