Determine the concentration of salt in the tank

Assignment Help Mathematics
Reference no: EM13968031

Suppose a large tank can hold up to 600 gal of liquid. Initially it has 300 gal of water with 20lb of salt. A solution with 1/2 lb of salt per gallon is pumped into the tank at a rate of 5 gal/min, the solution is well mixed and being pumped out at the rate of 3 gal/min.

Let A(t) be the actual amount of salt in the tank at time t (in minutes).

Set up the initial value problem for A(t) and then determine the concentration of salt in the tank when it's full.

Solve using Linear differential equations.

Reference no: EM13968031

Questions Cloud

What are the implications of the indifference point : What are the two capacity options that Robbie needs to consider? What are their fixed and variable costs? What is the indifference point for the two options? What are the implications of the indifference point
Self-mappings of ihi : Prove that if a linear fractional transformation w = (az + b) / ( cz + d) maps the real line of the z plane into the real line of the w plane, then a , b, c, and d must all be real, except possibly for a common phase factor that can be remov..
What method does tootsie roll use to value its inventory : Calculate the fixed asset turnover, the accounts receivable turnover, and the inventory turnover. The formula for fixed asset turnover is Net income divided by net fixed assets. Explain each turnover.
Self-mappings of the sphere ic : Show that the composition of two linear fractional transformations (22.50) is a linear fractional transformation. A fixed point of a transformation w = f ( z ) is a point zo such that f ( zo ) = z 0 .Prove that each linear fractional transformation..
Determine the concentration of salt in the tank : Set up the initial value problem for A(t) and then determine the concentration of salt in the tank when it's full - Solve Linear differential equations.
Draw the logic diagram of the circuit : A sequential circuit with two D flip flops, A and B; two inputs x and y; and one output z, specified by the following next state and output equations. An+1 = ¯y + xAn Bn+1 = ¯Bn + xAn Z = Bn (a) Draw the logic diagram of the circuit (b) Derive the..
What postion is the weapon most dangerous : Suppose you have to fight a zombie. If you swing your weapon with enough velocity you win the fight - what postion is the weapon most dangerous
Eleven-di mensional m-theory : What is the radius R of this eleventh dimension? How does it behave as a function of g? This result is one piece of evidence for the fact that eleven-di mensional M-theory compactified on a circle is type IIA  superstring  theory.
Find the maximum torque that can act on a molecule : A sample of HCL gas is placed in an electric field of 2-5 x 104 N/C. The dipole moment of each HCL molecule is 3.4 x 10-30 C-m. Find the maximum torque that can act on a molecule.

Reviews

Write a Review

Mathematics Questions & Answers

  What is the dimensions of the garden

a farmer purchases 730 feet of fencing to enclose a rectangular garden. If the length of the garden is 5 feet more than 3 times the width. what is the dimensions of the garden?

  What is the volume of a rectangular storage facility

what is the volume of a rectangular storage facility that is 75ft tall, 80ft wide and 15ft. tall?

  Solving problem on distributive laws

Solving problem on distributive Laws

  What does a saddle point or a null point mean

What does a saddle point or a null point mean? What kind of physical meaning could that correspond to?

  What is the distnace traveled before the car comes to a stop

a car is traveling 50mi/h when the brakes are fully applied, producing a constant decceleration of 22ft/s^2. What is the distnace traveled before the car comes to a stop.

  State how many batches of the topping must make to torte

How many batches of the topping must she make to complete her torte? (Use ? = 3.14 as an approximate value)

  The fuel consumption c of micheal''s car

The fuel consumption c of Micheal's car ( measured in gallons per hour ) is a function of speed ( or velocity ) v of the car ( measured in miles per hour). Since he has owned the car for several years now, Micheal has determined through experimentati..

  Simple cantilever beam bending moments

Simple cantilever beam bending moments etc.

  What is the probability that card is an even-numbered card

one card is selected at random from a standard deck of 52 playing cards, what is the probability that the card is an even-numbered card.

  Construct an explicit deformation retraction

Construct an explicit deformation retraction of the torus with one point deleted onto a graph consisting of two circles intersecting in a point, namely, longitude and meridian circles of the torus.

  Computing ruler function

Prove that f(x) is continuous at every irrational point and discontinuous at every rational point. Show that f is integrable on [0,1]

  Determine the best decision

Determine the best decision, using the following decision criteria.

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd