The parameters a , b may be extracted directly from our diagram but are more accurately assessed by using a computer algebra system. We observe from the curve that measurements deviate substantially, and we must conclude that the results of our modelling process are to be considered only as a first approximation. The volume of the fluid is proportional to the cross-sectional area of the tank and not the depth of the fluid. From the diagram we observe that the cross-sectional area of the elliptic sector S ellipse has to be initially determined. This check gives us confidence in our calculations.
Many students are interested in sports.
Consider for example the Olympic Games as a rich source for problems to resolve through mathematical modelling. Construct a mathematical model to simulate a tennis match. A First Course in Mathematical Modelling .