Which is bigger Feel the Fear or The Giant - Essay Example

Findings also indicate that the maximum and minimum heights for the Giant coaster are 36.434 metres and -96.434 metres. The difference between maximum and minimum heights is 132.868 metres. The analysis indicates that the dimensions of the rectangular enclosure that will give maximum possible area are 51 metres by 51 metres. The maximum possible area of the enclosure will be 2601 square metres. The analysis also indicates that the dimensions of the snack box that would give the maximum volume are 6.

67 cm x 13.33 cm x 26.67 cm. The maximum volume of the snack box will be 2370.37 cubic cm. A mathematical model is a description of a system using mathematical concepts and languages. It is a mathematical representation of the relationship between two or more variables relevant to a given situation or problem. Mathematical modelling is the process of developing a mathematical model. It provides a method for solving problems mathematically. It is used to describe a real - world event, to investigate important questions about the observed world, to explain real-world event, to test ideas and to make predictions about the real world (Berry & Houston, 1995).

In this report, mathematical modelling will be used to investigate the difference between maximum and minimum heights for the Feel the Fear coaster and the Giant coaster using differentiation, and maxima and minima concepts. The differentiation, and maxima and minima concepts will be also used to find the length and width of a rectangular enclosure for a given fixed fencing of 100 metres so that the enclosed area is maximized. The differentiation, and maxima and minima concepts will be used to determine the dimensions of a snack box from a 40cm by 40cm cardboard that would give maximum possible volume In this report, I used differentiation, and maxima and minima concepts to find the answers.

The maximum and minimum heights for the Feel the Fear coaster