Answer:
The function has a maximum in ![x=3](https://tex.z-dn.net/?f=x%3D3)
The maximum is:
![f(3) = 39](https://tex.z-dn.net/?f=f%283%29%20%3D%2039)
Explanation:
Find the first derivative of the function for the inflection point, then equal to zero and solve for x
![f(x)' = -4*2x + 24=0](https://tex.z-dn.net/?f=f%28x%29%27%20%3D%20-4%2A2x%20%2B%2024%3D0)
![-4*2x + 24=0](https://tex.z-dn.net/?f=-4%2A2x%20%2B%2024%3D0)
![8x=24](https://tex.z-dn.net/?f=8x%3D24)
![x=3](https://tex.z-dn.net/?f=x%3D3)
Now find the second derivative of the function and evaluate at x = 3.
If
the function has a maximum
If
the function has a minimum
![f(x)''= 8](https://tex.z-dn.net/?f=f%28x%29%27%27%3D%208)
Note that:
![f(3)''= -8](https://tex.z-dn.net/?f=f%283%29%27%27%3D%20-8%3C0)
the function has a maximum in ![x=3](https://tex.z-dn.net/?f=x%3D3)
The maximum is:
![f(3)=-4(3)^2+24(3) + 3\\\\f(3) = 39](https://tex.z-dn.net/?f=f%283%29%3D-4%283%29%5E2%2B24%283%29%20%2B%203%5C%5C%5C%5Cf%283%29%20%3D%2039)
Answer:chemical energy is transformed into kinetic energy
Explanation:
Answer:
f1= -350cm or -3.5m
f2= 22.1cm or 0.221m
Explanation:
A person is nearsighted when the person's far point is less than infinity. A diverging lens is normally used to correct this eye defect. A diverging lens has a negative focal length as seen in the solution attached.
Farsightedness is when a person's near point is farther than 25cm. This eye defect is corrected using a converging lens. The focal length of a converging lens is positive. This is evident in the solution attached. The near point is also referred to as the least distance of distinct vision.