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6 Nov 2019
The tank in the picture below initially contains 20 gallons ofpure water. A brine solution containing 0.5 pounds of salt pergallon is pumped into the tank, and the well-stirred mixture leavesat the same rate. The amount A of salt in the tank after t minutesis given by A = 10(1 - e^-0.03t)
(a) Graph this function
(b) What is A when t = 0? Explain why that value isexpected.
(c) What is A after 2 minutes? After 10 minutes?
(d) What value does A approach after a long time (as t becomeslarge)? Explain why this is the value you would expect.
Please give a detailed step by step answer with calculations.Thanks.
The tank in the picture below initially contains 20 gallons ofpure water. A brine solution containing 0.5 pounds of salt pergallon is pumped into the tank, and the well-stirred mixture leavesat the same rate. The amount A of salt in the tank after t minutesis given by A = 10(1 - e^-0.03t)
(a) Graph this function
(b) What is A when t = 0? Explain why that value isexpected.
(c) What is A after 2 minutes? After 10 minutes?
(d) What value does A approach after a long time (as t becomeslarge)? Explain why this is the value you would expect.
Please give a detailed step by step answer with calculations.Thanks.
Beverley SmithLv2
21 Oct 2019