<u>Answer</u>:-
Simply you can google see :
Answer:
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Step-by-step explanation:

Answer:

Step-by-step explanation:
A(t) is the amount of salt in the tank at time t.
dA / dt = rate of salt flowing into the tank - rate of salt going out of the tank
dA / dt = (1 g/L)*(5 L/min) - (A(t)/250 g/L) * (5L/min)
dA / dt = 5 g/min - (A(t) / 50) g/min
![\frac{dA}{dt}+\frac{A(t)}{50} = 5\\\\The\ integrating\ factor(IF)= e^{\int\limits \frac{1}{50}dt }=e^{\frac{t}{50} }\\\\Multiplying\ through\ by\ the\ I.F:\\\\\frac{dA}{dt}*e^{\frac{t}{50} }+\frac{A(t)}{50}*e^{\frac{t}{50} } = 5*e^{\frac{t}{50} }\\\\Integrating \ both \ sides:\\\\\int\limits[ \frac{dA}{dt}*e^{\frac{t}{50} }+\frac{A(t)}{50}*e^{\frac{t}{50} }] dt=\int\limits 5e^{\frac{t}{50} } dt\\\\A(t)e^{\frac{t}{50} } =\int\limits 5e^{\frac{t}{50} } dt\\\\](https://tex.z-dn.net/?f=%5Cfrac%7BdA%7D%7Bdt%7D%2B%5Cfrac%7BA%28t%29%7D%7B50%7D%20%3D%205%5C%5C%5C%5CThe%5C%20integrating%5C%20factor%28IF%29%3D%20e%5E%7B%5Cint%5Climits%20%5Cfrac%7B1%7D%7B50%7Ddt%20%7D%3De%5E%7B%5Cfrac%7Bt%7D%7B50%7D%20%7D%5C%5C%5C%5CMultiplying%5C%20through%5C%20by%5C%20the%5C%20I.F%3A%5C%5C%5C%5C%5Cfrac%7BdA%7D%7Bdt%7D%2Ae%5E%7B%5Cfrac%7Bt%7D%7B50%7D%20%7D%2B%5Cfrac%7BA%28t%29%7D%7B50%7D%2Ae%5E%7B%5Cfrac%7Bt%7D%7B50%7D%20%7D%20%3D%205%2Ae%5E%7B%5Cfrac%7Bt%7D%7B50%7D%20%7D%5C%5C%5C%5CIntegrating%20%5C%20both%20%5C%20sides%3A%5C%5C%5C%5C%5Cint%5Climits%5B%20%20%5Cfrac%7BdA%7D%7Bdt%7D%2Ae%5E%7B%5Cfrac%7Bt%7D%7B50%7D%20%7D%2B%5Cfrac%7BA%28t%29%7D%7B50%7D%2Ae%5E%7B%5Cfrac%7Bt%7D%7B50%7D%20%7D%5D%20dt%3D%5Cint%5Climits%20%205e%5E%7B%5Cfrac%7Bt%7D%7B50%7D%20%7D%20dt%5C%5C%5C%5CA%28t%29e%5E%7B%5Cfrac%7Bt%7D%7B50%7D%20%7D%20%3D%5Cint%5Climits%20%205e%5E%7B%5Cfrac%7Bt%7D%7B50%7D%20%7D%20dt%5C%5C%5C%5C)

Answer:
Domain : { x| x≥3}
Step-by-step explanation:
The domain is the input values ( the x values)
X starts at 3 and goes to infinity
Domain : { x| x≥3}