A cylindrical tank initially contains 400 liters of fluid with 90 grams of salt dissolved in it. Brine containing 8 grams of salt per liter runs in at a rate of 5 liters per minute througl pipe A, while another brine containing 6 grams of salt per liter runs in at a rate of 3 liters per minute through pipe B. The well-mixed solution then runs out from the tank at a rate of 4 liters per minute as shown in Figure Q5(a). Let y(t) be the amount of salt in the cylindrical tank at any time t. Рipe A 5 liters/min Pipe B 3 liters/min 4 liters/min Figure Q5(a): Mixing tank Find the rate (gram per minute) at which salt enters the tank at any time, t.
A cylindrical tank initially contains 400 liters of fluid with 90 grams of salt dissolved in it. Brine containing 8 grams of salt per liter runs in at a rate of 5 liters per minute througl pipe A, while another brine containing 6 grams of salt per liter runs in at a rate of 3 liters per minute through pipe B. The well-mixed solution then runs out from the tank at a rate of 4 liters per minute as shown in Figure Q5(a). Let y(t) be the amount of salt in the cylindrical tank at any time t. Рipe A 5 liters/min Pipe B 3 liters/min 4 liters/min Figure Q5(a): Mixing tank Find the rate (gram per minute) at which salt enters the tank at any time, t.
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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