Fresh water flows into tank 1; mixed brine flows from tank 1 into tank 2, from tank 2 into tank 3, and out of tank 3; all at the given flow rate r gallons per minute. The initial amounts x₁ (0)=xo (lb), and x₂ (0) = 0, and x3 (0) = 0 of salt in the three tanks are given, as are their volumes V₁. V₂. and V3. First solve for the amounts of salt in the three tanks at time t, then determine the maximal amount of salt that tank 3 ever contains. Finally, construct a figure showing the graphs of x₁ (t), x₂(t), and x3 (t). r=72, Xo = 60. V₁ =24, V₂ = 18, V3 = 36 x₁ (1)= X₂(t)=[ X3 (1)= The maximum salt ever in tank 3 is pounds. (Round to two decimal places as needed.) Choose the correct graph of x₁ (t). x₂(t), and x3 (1) below. O A. 60 (1) x₂ (1) Q Q G О в. 60-x) xh G О с. 604x, (1) X₂(t) Q G O D. 60(1) x (1) Q Q G

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Fresh water flows into tank 1; mixed brine flows from tank 1 into tank 2, from tank 2 into tank 3, and out of tank 3; all at the given flow rater gallons per minute. The initial amounts x₁ (0)=x (lb), and x₂(0)=0, and x3 (0) = 0 of salt in the three tanks are given, as are their volumes V₁. V₂. and V3.
First solve for the amounts of salt in the three tanks at time t, then determine the maximal amount of salt that tank 3 ever contains. Finally, construct a figure showing the graphs of x₁ (t). x₂(t), and x3 (t).
r=72, Xo = 60, V₁ =24, V₂ = 18, V3 = 36
X₁ (1)=
X₂ (1)=
X3 (t)=
The maximum salt ever in tank 3 is pounds.
(Round to two decimal places as needed.)
Choose the correct graph of x₁ (t). x₂(t), and x3 (t) below.
O A.
60)
(1)
x₂ (1)
Q
Q
О в.
60-x)
60,0
U
xat)
G
$(t)
О с.
60-4%,()
X₂(t)
Q
O D.
60%(1)
x² (1)
Q
Transcribed Image Text:Fresh water flows into tank 1; mixed brine flows from tank 1 into tank 2, from tank 2 into tank 3, and out of tank 3; all at the given flow rater gallons per minute. The initial amounts x₁ (0)=x (lb), and x₂(0)=0, and x3 (0) = 0 of salt in the three tanks are given, as are their volumes V₁. V₂. and V3. First solve for the amounts of salt in the three tanks at time t, then determine the maximal amount of salt that tank 3 ever contains. Finally, construct a figure showing the graphs of x₁ (t). x₂(t), and x3 (t). r=72, Xo = 60, V₁ =24, V₂ = 18, V3 = 36 X₁ (1)= X₂ (1)= X3 (t)= The maximum salt ever in tank 3 is pounds. (Round to two decimal places as needed.) Choose the correct graph of x₁ (t). x₂(t), and x3 (t) below. O A. 60) (1) x₂ (1) Q Q О в. 60-x) 60,0 U xat) G $(t) О с. 60-4%,() X₂(t) Q O D. 60%(1) x² (1) Q
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