Initially 15 grams of salt are dissolved into 25 liters of water. Brine with concentration of salt 5 grams per liter is added at a rate of 2 liters per minute. The tank is well mixed and drained at 2 liters per minute. a. Let x be the amount of salt, in grams, in the solution after t minutes have elapsed. Find a formula for the rate of change in the amount of salt,(dx/dt), in terms of the amount of salt in the solution x. (dx/dt)=? b. Find a formula for the amount of salt, in grams, after t minutes have elapsed. x(t)=? c.
Initially 15 grams of salt are dissolved into 25 liters of water. Brine with concentration of salt 5 grams per liter is added at a rate of 2 liters per minute. The tank is well mixed and drained at 2 liters per minute. a. Let x be the amount of salt, in grams, in the solution after t minutes have elapsed. Find a formula for the rate of change in the amount of salt,(dx/dt), in terms of the amount of salt in the solution x. (dx/dt)=? b. Find a formula for the amount of salt, in grams, after t minutes have elapsed. x(t)=? c.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Initially 15 grams of salt are dissolved into 25 liters of water. Brine with concentration of salt 5 grams per liter is added at a rate of 2 liters per minute. The tank is well mixed and drained at 2 liters per minute.
a. Let x be the amount of salt, in grams, in the solution after t minutes have elapsed. Find a formula for the rate of change in the amount of salt,(dx/dt), in terms of the amount of salt in the solution x.
(dx/dt)=?
b. Find a formula for the amount of salt, in grams, after t minutes have elapsed.
x(t)=?
c.
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c. How many minutes go by until there is exactly 25 grams of salt in the tank.
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