Mathematics Homework Solutions

Mathematical modeling using systems of linear first order equations

Two tanks each hold 3 liters of salt water and are connected by two pipes (see figure below) the salt water in each tank is kept well stirred. Pure water flows into tank A at a rate of 5 liters per minute and the salt mixture exits tank B at the same rate. Salt water flows from tank A to tank B at the rate of 9 liters per min ...continues

Simulation using Crystal Ball/OptQuest

This problem requires the use "Crystal Ball", the popular commercial spreadsheet add-in. For clarity, it is distributed by Decisioneering, Inc. This problem specifically requires that Excel and "Crystal Ball" (and OptQuest as applicable) be used - and not any other software choices. The link below directs you to a free 7-day t ...continues

Wave eqn (PDE)

Derive the wave eqation in 2 dimension. Give and and sovle any two examples of problem for wave eqn in 2D. Note: Please derive the equn in such a way that any one with basic understanding of PDE would easly grasp the procedure. make comment where needed. Thanks

Language to be used for simulation

Why would one want to use a general purpose programming language rather than a spreadsheet to develop a simulation?

Recurrence relation

See attached file

Random Models past paper

Please could you answer Questions: A1 and A2 of the past paper. Please provide clear explanations assuming the reader has no knowledge of the subject. Thanks

Stochastic models past paper

B7 of the past paper. Please provide clear explanations assuming the reader has no knowledge of the subject. Thanks

Probability problem

Please open the attached excel and word files for the example. Assume I am valuing the cash flows of a simple company with contracts 'a' through 'f' that have different varying cash flows over 10 years. Probability of default for each contract a-f in any given year = 2.50%. Once there is a default, the cash flows cease ...continues

A student plans to open a hot dog stand inside a stadium

1- A student plans to open a hot dog stand inside a stadium 7 games scheduled, she must pay a vendor's fee of $ 3000 for te season. Her stand and equipemnt will cost her $4500 for the season. she estimate each hod dog she will sell will cost her 0.35 and that she will sell about 2,000 during each games a- what price should she ...continues

What is the probability that a given patient if the patient has a serious illness?

Researchers have determined that patients who are smokers have 18% chance of contracting a serious illness, whereas onlt .06 probability that a non smoker will contract a serious illness. 23% are all smokers 77% non smokers What is the probability that a given patient if the patient has a serious illness?

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