Suppose that a large mixing tank initially holds 300 gallons of water in which 50 pounds of salt have been dissolved. Pure water is pumped into the tank at a rate of 3 gal/min, and when the solution is well-stirred, it is then pumped out at the same rate. Determine the differential equation for the amount of salt x(t) in the tank at any timet > 0. dr O A. dt 3. 300 dr O B. dt = 0 100 dr O C. = 3 100 dt dz O D. dt = 0 300 O E. None of the choices

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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Suppose that a large mixing tank initially holds 300 gallons of water in which 50 pounds
of salt have been dissolved. Pure water is pumped into the tank at a rate of 3 gal/min, and
when the solution is well-stirred, it is then pumped out at the same rate. Determine the
differential equation for the amount of salt x(t) in the tank at any time t > o.
dx
O A.
=D3
300
dt
dx
OB.
dt
100
dr
dt
C.
С.
3D3
100
O D. + 300
dt
O E. None of the choices
Transcribed Image Text:Suppose that a large mixing tank initially holds 300 gallons of water in which 50 pounds of salt have been dissolved. Pure water is pumped into the tank at a rate of 3 gal/min, and when the solution is well-stirred, it is then pumped out at the same rate. Determine the differential equation for the amount of salt x(t) in the tank at any time t > o. dx O A. =D3 300 dt dx OB. dt 100 dr dt C. С. 3D3 100 O D. + 300 dt O E. None of the choices
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