The astronomers use the standard equation of an ellipse to determine the distance of the satellite's orbit from the focus. If the scientists do not factor this equation into the experiment, the satellite could collide or crash into a planetary object of space. Calculus formulas are used when amusement park engineers build amusement park rides. For example, a formula would be used to determine the height of a car on a Ferris Wheel at a certain period of time. The engineers must analyze the radius of the Ferris Wheel when determining the car's maximum height.
Manufactures use calculus formulas when determining maximum volume.
Most industrial companies want to attain the most volume that a piece of material with a certain amount of surface area can possibly hold. For example, a manufacturer would want to achieve maximum volume when making an open box with a square base. The bottom piece formula is solved for h and then plugged into the surface area equation. The derivative of the equation is taken and solved for x . The manufactures now have the dimensions for the box's maximum volume.