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:
8.57 Hz
Explanation:
From the question given above, the following data were obtained:
Wavelength (λ) = 3.5 m
Velocity (v) = 30 m/s
Frequency (f) =?
The velocity, wavelength and frequency of a wave are related according to the equation:
Velocity = wavelength × frequency
v = λ × f
With the above formula, we can simply obtain the frequency of the wave as follow:
Wavelength (λ) = 3.5 m
Velocity (v) = 30 m/s
Frequency (f) =?
v = λ × f
30 = 3.5 × f
Divide both side by 3.5
f = 30 / 3.5
f = 8.57 Hz
Thus, the frequency of the wave is 8.57 Hz
The electromagnetic force<span> holds atoms and molecules together.
like a magnet's pull on steel.</span>
C) In the absence of an unbalanced force, an object at rest will stay at rest and an object in motion will stay in motion.
hope this helps and have a great day :)