Using differentiation find the difference between maximum and minimum Speech or Presentation

Using differentiation find the difference between maximum and minimum tiptops for both the roller coasters - Speech or Presentation ExampleIn the laboratory, one tries to establish cause and effect relationship of a phenomenon. Due to various objective difficulties, many an(prenominal) relationships dischargenot be established through laboratory experiments. This is when the relationship is established through mathematical formulas that perplex a phenomenon or object. Then by changing the values of one or more variables one can get the answers needed in the real world problems.This assignment does not report either victimisation of a mathematical model or present a mathematical model. It uses a mathematical model to derive certain cause and effect relationship. The assignment uses two different models that describe at what height from the background a coaster will be located at a certain period.The model evince by the comparability h (t) = - 2 t3 + 34 t2 128 t + 96 describes the location of a coaster from the ground for 12 seconds after it comes out of the loop. The given equation is a third degree polynomial equation where the dependent variable is height and the independent variable is time. The scope is to determine maximum and minimum high school from the ground level. The maximum and minimum will be found through the derivatives of the equation. The condition for maximum is h (t) = 0, and h (t) is negative. The condition of minimum is h (t) = 0, and h (t) is positive (Lawrence Spector n.d.). Figure 1 shows the movement of the coaster for 12 seconds (Microsoft Corporation