Homework05: Problem 6 Previous Problem Problem List Next Problem Results for this submission Entered k= -9 -9 1.649 The

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Homework05 Problem 6 Previous Problem Problem List Next Problem Results For This Submission Entered K 9 9 1 649 The 1 (26.26 KiB) Viewed 26 times

Homework05 Problem 6 Previous Problem Problem List Next Problem Results For This Submission Entered K 9 9 1 649 The 2 (26.26 KiB) Viewed 26 times

Homework05 Problem 6 Previous Problem Problem List Next Problem Results For This Submission Entered K 9 9 1 649 The 3 (30.69 KiB) Viewed 26 times

Homework05 Problem 6 Previous Problem Problem List Next Problem Results For This Submission Entered K 9 9 1 649 The 4 (17.4 KiB) Viewed 26 times

Homework05: Problem 6 Previous Problem Problem List Next Problem Results for this submission Entered k= -9 -9 1.649 The population will increase to 7500 after 1.649 Answer Preview years -9 1.649 Result At least one of the answers above is NOT correct. (1 point) Sunset Lake is stocked with 1500 rainbow trout and after 1 year the population has grown to 4450. Assuming logistic growth with a carrying capacity of 15000, find the growth constant k, and determine when the population will increase to 7500. yr inconact incorect
(1 point) Consider the mixing process shown in the figure. A mixing chamber initially contains 3 liters of a clear liquid. Clear liquid flows into the chamber at a rate of 10 liters per minute. A dye solution having a concentration of 0.4 kilograms per liter is injected into the mixing chamber at a constant rate of r liters per minute. When the mixing process is started, the well-stirred mixture is pumped from the chamber at a rate of 10+ liters per minute. (a) Develop a mathematical model for the mixing process. Let Q represent the amount of dye in kilograms in the mixture. do kg/min. 0.4r-(10+)Q/(3) dt (b) The objective is to obtain a dye concentration in the outflow mixture of 0.25 kilograms per liter. What injection rate r is required to achieve this equilibrium solution? 10/0.6 L/min : 0. How many minutes will it take for the outflow concentration to rise to within 5% of Would this equilibrium value of r be different if the fluid in the chamber at time r=0 contained some dye? no (c) Assume the mixing chamber contains 3 liters of clear liquid at time I the desired concentration of 0.25 kilograms per ster? min 10.98 tial marit on this nmbiem. HT
(1 point) A tank contains 80 kg of salt and 2000 L of water. Pure water enters a tank at the rate 6 L/min. The solution is mixed and drains from the tank at the rate 3 L/min. (a) What is the amount of salt in the tank initially? amount 80 (kg) (b) Find the amount of salt in the tank after 1.5 hours. amount 65.7 (kg) (c) Find the concentration of salt in the solution in the tank as time approaches infinity (Assume your tank is large enough to hold all the solution) concentration 0 (kg/l) Note: You can earn partial credit on this problem.