A large tank originally contains 1000 litres in which 5 kilograms of salt is dissolved. Pure water is allowed to enter the tank at a rate of 16 litres per minute, and the well stirred mixture is allowed to flow out of the tank at a rate of 18 litres per minute. If A(t) is the amount of salt (in kilograms) in the tank at time t (in minutes), then which of the following initial value problems is satisfied by A(t)?

A large tank originally contains 1000 litres in which 5 kilograms of salt is dissolved. Pure water is allowed to enter the tank at a rate of 16 litres per minute, and the well stirred mixture is allowed to flow out of the tank at a rate of 18 litres per minute. If A(t) is the amount of salt (in kilograms) in the tank at time t (in minutes), then which of the following initial value problems is satisfied by A(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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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

Question

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A large tank originally contains 1000 litres in which 5 kilograms of
salt is dissolved. Pure water is allowed to enter the tank at a rate of
16 litres per minute, and the well stirred mixture is allowed to flow
out of the tank at a rate of 18 litres per minute. If A(t) is the
amount of salt (in kilograms) in the tank at time t (in minutes), then
which of the following initial value problems is satisfied by A(t)?
Select one:
dA
18A
16
A(0) = 5
a.
dt
1000 + 2t
dA
O b.
dt
18A
0; A(0) = 5
1000
2t
dA
O C.
dt
18A
0; A(0) = 5
1000 +2t
O d. None of these
dA
18A
A(0)= 5
2t
16
e.
dt
1000
直
acer

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