Answer:
15.47 gallons
Explanation:
The pumps remove the oil at the rate modelled by
R(t) = 2 + cos(πt / 11) in gallon per hour
The oil removes in 6hours period is given by integral of R(t)
from t = 0 to t = 6

![Q = [2t + \frac{sin(\frac{\pi t}{11}) }{\frac{\pi }{11} } ]_0^6](https://tex.z-dn.net/?f=Q%20%3D%20%5B2t%20%2B%20%5Cfrac%7Bsin%28%5Cfrac%7B%5Cpi%20t%7D%7B11%7D%29%20%7D%7B%5Cfrac%7B%5Cpi%20%7D%7B11%7D%20%7D%20%5D_0%5E6)
![Q = [2(6) + \frac{11}{\pi } sin(\frac{6\pi }{11}) ] - [0 + \frac{11sin (0)}{\pi } ]](https://tex.z-dn.net/?f=Q%20%3D%20%5B2%286%29%20%2B%20%5Cfrac%7B11%7D%7B%5Cpi%20%7D%20sin%28%5Cfrac%7B6%5Cpi%20%7D%7B11%7D%29%20%5D%20-%20%5B0%20%2B%20%5Cfrac%7B11sin%20%280%29%7D%7B%5Cpi%20%7D%20%5D)
![Q = [12 + \frac{11}{\pi } (0.9898)]\\\\Q = 12 + 3.465694\\\\Q = 15.465694\\\\Q = 15.47 gallons](https://tex.z-dn.net/?f=Q%20%3D%20%5B12%20%2B%20%5Cfrac%7B11%7D%7B%5Cpi%20%7D%20%280.9898%29%5D%5C%5C%5C%5CQ%20%3D%2012%20%2B%203.465694%5C%5C%5C%5CQ%20%3D%2015.465694%5C%5C%5C%5CQ%20%3D%2015.47%20gallons)
The frequency of a wave becomes higher due to the object moving at a fast pace coming towards you with shorter wavelengths (depending on the speed) aka the Doppler Effect.
Hope this helps
Answer:
It would be changed or replaced when new information is presented that proves the theory needs to be reconstructed
Explanation:
Answer:
a) T = 2.997 s
b) K = 14.3 J
c) φ = 0.444 rad
Explanation:
a) Determine its period
The pendulum simple’s period is:
T = 2π
Where l: Pendulum’s length
g = 9.8 m/s2
T = 2π
T = 2.997 s
b) Total energy
Initially his total energy is kinetic
K = 
K = 
K = 14.3 J
c) Maximum angular displacement
φ = 
φ =
φ = 0.444 rad