salt water with a concentration of 4 grams of salt per gallon floes into a large trough that initially contains 40 gallons of pure water. The salt water is flowing into the trough at a rate of 5 gallons per minute.
a. find the volume of water in the tank as a function of time
b. find the amount of salt as function of time
c. find concentration of salt as function of time
d. find the limit of concentration as t approaches infinity
2007-02-22 15:59:30 · 2 answers · asked by crazed1511 1 in Science & Mathematics ➔ Mathematics
a. V(t) = 40 + 5t, where t is in minutes
b. S(t) = 20t, where S is grams of salt, t is in minutes
c. C(t) = S(t)/V(t) = 20t/(40 + 5t)
d. Lim(C(t)), t->inf. = 4t/(8+t) = 4 grams/gallon
2007-02-22 16:14:47 · answer #1 · answered by Anonymous · 1⤊ 0⤋
V=40+5*t gallons t in minutes
Salt = 4*5t grams = 20t grams
Concentration = 20t/(40+5t) grams/gallon
limit as t => infinity is 20/5 = 4 g/gallon
2007-02-23 07:55:46 · answer #2 · answered by santmann2002 7 · 1⤊ 0⤋