A tank holds a 98 gal solution of water and salt. Initially, the solution contains 20 lb of salt. A salt solution with a concentration of 3 lb of salt per gal begins flowing into the tank at the rate of 2 gal per minute. The solution in the tank also begins flowing out at a rate of 2 gal per minute. Let y be the amount of salt present in the tank at time t. (a) Find an expression for the amount of salt in the tank at any time. (b) How much salt is present after 57 minutes? (c) As time increases, what happens to the salt concentration? dy (a) Find dy dt
A tank holds a 98 gal solution of water and salt. Initially, the solution contains 20 lb of salt. A salt solution with a concentration of 3 lb of salt per gal begins flowing into the tank at the rate of 2 gal per minute. The solution in the tank also begins flowing out at a rate of 2 gal per minute. Let y be the amount of salt present in the tank at time t. (a) Find an expression for the amount of salt in the tank at any time. (b) How much salt is present after 57 minutes? (c) As time increases, what happens to the salt concentration? dy (a) Find dy dt
Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 60SE: The formula for the amount A in an investmentaccount with a nominal interest rate r at any timet is...
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Transcribed Image Text:A tank holds a 98 gal solution of water and salt. Initially, the solution contains 20 Ib of salt. A salt solution with a concentration of 3 lb of salt per gal begins flowing into the tank at the rate of 2 gal per minute. The
solution in the tank also begins flowing out at a rate of 2 gal per minute. Let y be the amount of salt present in the tank at time t.
(a) Find an expression for the amount of salt in the tank at any time.
(b) How much salt is present after 57 minutes?
(c) As time increases, what happens to the salt concentration?
dy
(a) Find
dt
dy
dt
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