Answer:
![V=33.51cm^3](https://tex.z-dn.net/?f=V%3D33.51cm%5E3)
Step-by-step explanation:
Diameter: ![d=4cm](https://tex.z-dn.net/?f=d%3D4cm)
from this information we can find the radius of the golf ball:
![r=\frac{d}{2}\\ \\r=\frac{4cm}{2}\\ \\r=2cm](https://tex.z-dn.net/?f=r%3D%5Cfrac%7Bd%7D%7B2%7D%5C%5C%20%5C%5Cr%3D%5Cfrac%7B4cm%7D%7B2%7D%5C%5C%20%5C%5Cr%3D2cm)
A golf ball is shaped like a sphere, and the formula for finding the volume of a sphere is:
![V=\frac{4\pi r^3}{3}](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B4%5Cpi%20r%5E3%7D%7B3%7D)
where r is the radius and
is a constant: ![\pi=3.1416](https://tex.z-dn.net/?f=%5Cpi%3D3.1416)
we substitute the values of pi and the radius to find the volume:
![V=\frac{4(3.1416)(2cm)^3}{3}\\ \\V=\frac{4(3.1416)(8cm^3)}{3}\\ \\V=\frac{100.53cm^3}{3}\\ \\V=33.51cm^3](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B4%283.1416%29%282cm%29%5E3%7D%7B3%7D%5C%5C%20%5C%5CV%3D%5Cfrac%7B4%283.1416%29%288cm%5E3%29%7D%7B3%7D%5C%5C%20%5C%5CV%3D%5Cfrac%7B100.53cm%5E3%7D%7B3%7D%5C%5C%20%5C%5CV%3D33.51cm%5E3)
the closest to the volume of a golf ball: ![33.51cm^3](https://tex.z-dn.net/?f=33.51cm%5E3)
Following PEMDAS.
It would go like 5x0.11
Answer. = .55
The coordinate should be (4,5)
Answer with Step-by-step explanation:
We are given that a function f(x) is continuous on (
).
1.f'(-1)=0 and f''(-1)=-7
We have to find information about f.
When f'(-1)=0 and f''(-1)=-7 < 0
Then, function is maximum at x=-1.
Therefore, at x=-1, f has local maximum.
Answer:a)at x=-1 ,f has local maximum.
2.) if f'(4)=0 and f''(4)=0
We know that when f''(x)=0 then test fails then the function has not maximum or minimum.
Therefore, at x=4 , f has not a maximum or minimum.
Answer:c) at x=4, f has not a maximum or minimum.