2014年3月18日 · Then you need eventually to use the composition of the function F1 which is a fonction of the electrical motor and the function F2 which is the unknown power-horse of the propeller.F2 (f1)=F2 o f1. In fact it is the composition of the function that the physician use to establish relationship between different physical quantity.

As Wim mentions in the comments, piecewise polynomials are used a fair bit in applications. In designing profiles and shapes for cars, airplanes, and other such devices, one usually uses pieces of Bézier or B-spline curves (or surfaces) during the …

2014年6月8日 · A real world example of a cubic function might be the change in volume of a cube or sphere, depending on the change in the dimensions of a side or radius, respectively. For that matter, any equation, pertaining to a relateable real world object or phenomenon, with a variable that is cubed might be used as a real world example of a cubic ...

2019年11月8日 · One could take any sort of real-world modeling problem which uses a polynomial or rational model (for instance, how inflated your tires are versus how long the tires will last is generally modeled by a quadratic function; the amount of time it takes people to list their favorite vegetables can be modeled by a cubic function; modeling total cost ...

The reading of your speedometer (e.g., 85 km/h) is a limit in the real world. Maybe you think speed is speed, why not 85 km/h. But in fact your speed is changing continuously during time, and the only "solid", i.e., "limitless" data you have is that …

2014年8月16日 · A "real world" application of rational functions is the "Thin Lens Equation" which relates focal length, object distance, and real image distance. It is as practical as it gets. Cameras, eyeballs, magnifying glasses, etc all operate using this principle in some capacity. The derivation of it is straight forward and only uses similar triangles.

2014年4月15日 · One example of applying tangent functions to solve a real world problem is:-Find the gradient and the actual length of a path represented as x cm (a known measurable quantity) in the 1 : n (a known given quantity) scaled contour map.

I am looking for interesting applications in everyday life, technology or science of exponential functions of the type: $$ f\colon \mathbb{R} \to \mathbb{R}, \quad x \mapsto ab^x $$ for the case ...

2020年11月27日 · An actual real-world example is sprinting. In sprinting, we care a lot about initial acceleration, i.e., acceleration off the blocks. However, if we plot acceleration vs time in the sprint, the value of acceleration at time $0$ (the starting gun shot) is $0$ , but it immediately jumps to a large value and then maintains a high value for the ...

2017年3月7日 · $\begingroup$ @EthanBolker: Yes indeed in many real-world phenomena, time could be argued to be one of the independent variables, but may not be relevant to the relation at hand. In my answer I describe a concrete example from chemistry. =) $\endgroup$