1. A tank 5000-liter capacity tank, containing 400 liters of sugar water bearing 20 kg of sugar is connected to a source of sugar water of concentration 0.5 kg/liter. This sugar water mixture is pumped into the tank at a rate of 3 liters per second. Constant mixing keeps the concentration of sugar in the tank uniform. If sugar water leaves the tank at 4 liters per second, find the time at which the amount of sugar in the tank reaches its maximum value and the amount of sugar in that is in the tank at that time.

1. A tank 5000-liter capacity tank, containing 400 liters of sugar water bearing 20 kg of sugar is connected to a source of sugar water of concentration 0.5 kg/liter. This sugar water mixture is pumped into the tank at a rate of 3 liters per second. Constant mixing keeps the concentration of sugar in the tank uniform. If sugar water leaves the tank at 4 liters per second, find the time at which the amount of sugar in the tank reaches its maximum value and the amount of sugar in that is in the tank at that time.

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter3: Polynomial Functions

Section3.5: Mathematical Modeling And Variation

Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...

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