Mathematics Homework Solutions

Mergers and Acquisitions Paper

Assess the impact of mergers and acquisitions on business, including “sensible” and “dubious” reasons for, and benefits and costs of, cash and stock transactions. In your paper also be sure to examine the financial risks of merging with or acquiring an organization in another country and how those risks could be mitigated. Be ...continues

How to solve homogeneous linear systems with constant coefficients

Step by step process in solving the following question. Using matrix algebra techniques, find a general solution of the system: x'=3x-4y y'=4x-7y

Laplace Transforms

Laplace Transforms. See attached file for full problem description.

Runge-Kutta Iterated Values

Runge-Kutta Iterated Values. See attached file for full problem description.

Nonlinear Differential Equations- Reaction Problem

Question: A Chemical X is produced from a reaction involving chemicals A and B. The rate of production of X varies directly as the product of the instantaneous amounts of A and B present. The formation of X requires 6 pounds of A for every 4 pounds of B. 30 pounds of A and 20 pounds of B are present initially and 10 pounds of ...continues

Application problem DE (logistic equation)

The number of bacteria in a Petri dish was initially determined to be 200. After one hour, the number had increased to 500 and after another hour to 1,000. Assume that the rate of bacterial growth in the dish at any time t can be calculated using the logistic equation dB/dt = B(a-bB), which I know to use the formula B = aBo/(bBo ...continues

Growth Problem

The Bunny Number Oney rabbit farm noticed that the rate of increase in rabbits on the farm was directly proportional to the number of rabbits at the farm at any time t. It was further noticed that the number of rabbits increased from 200 to 400 in 60 days. a. How many more days will it take to have 800 rabbit on the farm? b ...continues

Population Growth Problems

In a galaxy far, far away (my professor writes his own practice problems), on the planet Xylor, a herd of 100 Tybars was introduced for breeding. After 5 years, the herd had increased to 500. If the rate of herd growth is assumed to be directly proportional to the number of Tybars present on Xylor at any time t: a. How many T ...continues

Mixture problem

A tank contains 54 gallons of pure water. A salt water solution with 2 pounds of salt per gallong enters the tank at a rate of 3 gallons per minute, and the well-stirred mixture leaves the tank at the same rate (3 gallons per minute). a. How much salt is in the tank at any time t? b. When, to the nearest minute, will the wat ...continues

Mixture problem #2 DE

A tank initially contains 100 gallons of a solution that holds 10 pounds of a chemical. A solution containing 1 pound of the chemical runs into the tank at a rate of 4 gallons per minute, and the well-mixed mixture runs out of the tank at a rate of 6 gallons per minute. a. How much chemical is in the tank after 25 minutes? b ...continues

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