A tank hold 300 gallons of brine solution. Brine is pumped into the tank at the rate of 3 gal/min and the well-stirred solution is pumped out at the rate of 2 gal/min. It stands to reason that since the brine solution is accumulating in the tank at the rate of 1 gal/min, any finite (capacity) tank must eventually overflow. Suppose that the tank has an open lid and has a total capacity of 400 gallons. a) When will the tank overflow? b) What will be the number of pounds of salt in the tank at the instant it overflows? c) Determine the number of pounds of salt in the tank ast → ∞.
A tank hold 300 gallons of brine solution. Brine is pumped into the tank at the rate of 3 gal/min and the well-stirred solution is pumped out at the rate of 2 gal/min. It stands to reason that since the brine solution is accumulating in the tank at the rate of 1 gal/min, any finite (capacity) tank must eventually overflow. Suppose that the tank has an open lid and has a total capacity of 400 gallons. a) When will the tank overflow? b) What will be the number of pounds of salt in the tank at the instant it overflows? c) Determine the number of pounds of salt in the tank ast → ∞.
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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PART A, B and C.

Transcribed Image Text:A tank hold 300 gallons of brine solution. Brine is pumped into the tank at
the rate of 3 gal/min and the well-stirred solution is pumped out at the
rate of 2 gal/min. It stands to reason that since the brine solution is
accumulating in the tank at the rate of 1 gal/min, any finite (capacity) tank
must eventually overflow. Suppose that the tank has an open lid and has a
total capacity of 400 gallons.
a) When will the tank overflow?
b) What will be the number of pounds of salt in the tank at the instant it
overflows?
c) Determine the number of pounds of salt in the tank ast → ∞.
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