A tank contains 150 gal of brine made by dissolving 60 pounds of salt in water. Salt water containing 1 pounds of salt per gallon runs in at the rate of 2 gal/min and the well-stirred mixture runs out at the rate of 3 gal/min. Find the amount of salt in the tank after 30 minutes.

A tank contains 150 gal of brine made by dissolving 60 pounds of salt in water. Salt water containing 1 pounds of salt per gallon runs in at the rate of 2 gal/min and the well-stirred mixture runs out at the rate of 3 gal/min. Find the amount of salt in the tank after 30 minutes.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter2: Graphical And Tabular Analysis

Section2.1: Tables And Trends

Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...

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Question

Please solve using integrations

A tank contains 150 gal of brine made by dissolving 60 pounds of salt in water. Salt
water containing 1 pounds of salt per gallon runs in at the rate of 2 gal/min and the
well-stirred mixture runs out at the rate of 3 gal/min. Find the amount of salt in the
tank after 30 minutes.

With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.

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