A tank holds 138 gallons of water. Initially, at t=0, a solution containing 1/8 lb/gal of a chemical solvent flows into the tank at a rate of 6 gal/min. The mixture then leaves the tank at the same rate. The amount of chemical (water with solvent) at any instant t, inside the tank, corresponds to 3 (1+e-6t/138) O a) 92 3 O b) :(1 – e 6t/138) 92 69 Oc) (1. Be/138 ) - e 69 (1+e-6t/138) 4 d)

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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(5.2)
A tank holds 138 gallons of water. Initially, at t=0, a solution containing 1/8 lb/gal of a chemical
solvent flows into the tank at a rate of 6 gal/min. The mixture then leaves the tank at the same
rate. The amount of chemical (water with solvent) at any instant t, inside the tank, corresponds to
3
a)
(1+e-6£/138)
92
3
O b)
(1
-6t/138)
92
69
(1
-e 6t/138)
69
O d) (1+e-6/138 )
Transcribed Image Text:(5.2) A tank holds 138 gallons of water. Initially, at t=0, a solution containing 1/8 lb/gal of a chemical solvent flows into the tank at a rate of 6 gal/min. The mixture then leaves the tank at the same rate. The amount of chemical (water with solvent) at any instant t, inside the tank, corresponds to 3 a) (1+e-6£/138) 92 3 O b) (1 -6t/138) 92 69 (1 -e 6t/138) 69 O d) (1+e-6/138 )
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