The Use of Mathematical Modelling - Coursework Example

The objective of this investigation is to solve and look at some of the mathematical questions asked in the report. The main research topic of this mathematical investigation is the maximization and minimization of variables (Berry & Ken 1995 pp24). The report aims to use differentiation in determining the maximum as well as the minimum variables in the question asked.     

Analysis

In this section of the report, the report focuses on finding solutions to numerous questions asked in the report. The questions have different approaches but under the same topic. All the questions are based on maximum and minimum variables. The solutions to the mathematical issues are given below as;

1. When the height is maximum, then  (Larson & Edwards 2010 pp17)

Factorization,

The smallest value of time determines and calculates the maximum area of the box.

.Minimum height,

=

To prove the formula, a factor of 2 is used where h is assumed to be = o while, t = 2

H                  Maximum at 225.1

                                                      Minimum at 36                  

                                                                                                        Time (sec)

2. The maximum and the minimum height are determined when

But,

Factorization using the quadratic formula,

From the quadratic equation, the values are;

H (cm)

                                                Maximum at 575.97

                    Minimum at 36.4

                                                                                                      Time (s)

3.  
4. Assuming that the length of the created box is

Area = the product of the length, the width, and the height.

Therefore,

1. Maximum area is calculated when A is at

 = 2601 m2

Given that the

 ,

Thus the dimensions of the box are;   and

Conclusion

In conclusion, the research purpose was to compare the giant and feel the fear. The aim was to determine which is bigger, the first question and the second question are the determinants of the research question. In order to determine the maximum and the minimum variables in each question, calculations were used following the processes that are used to approach mathematical issues such as the modeling of mathematics. Mathematical modeling is essential and relevant in solving certain mathematical problems. Each question asked in the report is answered accordingly through the use of mathematical modeling and other important tips involved in approaching such mathematical situations.