3 Nov 2021
Problem 55a
Page 135
Section 2.5: Limits involving infinity
Chapter 2: Limits and Derivatives
Textbook ExpertVerified Tutor
3 Nov 2021
Given information
The volume of the tank is given to be 5000L and the brine contain 30g of salt per liter of water is pumped into a tank at the rate 25L/min.
Step-by-step explanation
Step 1.
Initial volume of the tank is 5000L and every minute increases by 25L.
Therefore, the capacity of tank at time is .
Amount of salt added into tank every minute is
Therefore, the amount of salt in the tank after minutes is .
Also, it is known that concentration is the ratio of amount of salt to the volume of the tank.
Therefore, .