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ycow [4]
3 years ago
9

Help plz and thank have a nice day

Mathematics
1 answer:
dusya [7]3 years ago
6 0

This is for the first page

Answer: answer to question 17 is r=32/7, answer to question 18 is m=-12, answer to question 19 is k=-9, answer to question 20 is p= No solution, answer to question 21 is x= infinite solutions, answer to question 22 is x= -4.

Step-by-step explanation:

This picture is for the second page

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charle [14.2K]

Answer:

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Step-by-step explanation:

Volume of water in the tank = 1000 L

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Initially, the tank contains 60 kg of salt, therefore:

y(0)=60 kg

<u />

<u>Rate In</u>

A solution of concentration 0.03 kg of salt per liter enters a tank at the rate 9 L/min.

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<u>Rate Out</u>

The solution is mixed and drains from the tank at the same rate.

Concentration, C(t)=\dfrac{Amount}{Volume} =\dfrac{y(t)}{1000}

R_{out} =(concentration of salt in outflow)(output rate of solution)

=\dfrac{y(t)}{1000}* 9\dfrac{liter}{min}=0.009y(t)\dfrac{kg}{min}

Therefore, the differential equation for the amount of Salt in the Tank  at any time t:

\dfrac{dy}{dt}=R_{in}-R_{out}\\\\\dfrac{dy}{dt}=0.27-0.009y(t),$  y(0)=60kg

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