Report Coursework Example | Topics and Well Written Essays - 1000 words - 9

Report - Coursework Example The difference between maximum and minimum heights for The Giant roller coaster is 132.868 metres. The maximum possible area of the rectangular enclosure found to be 2601 square metres when the width is 51 metres. The dimensions of the snack box that would give the maximum volume found to be 6.67 cm x 13.33 cm x 26.67 cm. The maximum volume of the snack box found to be 2370.37 cubic cm. Mathematical modelling is a method for solving problems mathematically. A mathematical model is a mathematical representation of the relationship between two or more variables relevant to a given situation or problem. Mathematical modelling is used to investigate important questions about the observed world, to describe real-world incident, to explain real-world incident, to test ideas and to make predictions about the real-world. In this report, mathematical modelling will be used to answer the real-world questions. The formulation, analysis (using differentiation, maxima and minima), interpretation and test will be done to answer the real-world questions. The mathematical modelling will be used to find the difference between maximum and minimum height for the Feel the Fear and The Giant roller coasters. It will be also used for finding maximum possible area of fixed fence enclosure and the dimensions of a snack box that would give the maximum volume. The maximum height of the Feel the Fear roller coaster is 36 meters and the minimum height is about -14.815 metres (14.815 below ground level). Therefore, the difference between maximum and minimum heights for the Feel the Fear roller coaster is about 50.815 metres. The maximum height of The Giant roller coaster is about 36.434 meters and the minimum height is about -96.434 metres (96.434 below ground level). Therefore, the difference between maximum and minimum heights for The Giant roller coaster is about 132.868 metres. The snacks