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lin_lina2019
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#1

Сообщение lin_lina2019 »

Здравствуйте, дорогие форумчане!
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Calculus is used in every branch of the physic sciences, actuarial science, computer science, statistics, engineering, economics, business, medicine, demography, and in other fields wherever a problem can be mathematically modeled and an optimal solution is desired.

It allows one to go from (non-constant) rates of change to the totality change or vice versa, and many times in studying a problem we know one and are trying to find the other.

Physics makes particular usability of calculus; all concepts in classical mechanics and electromagnetism are related through calculus.

The mass of an object of known dense, the moment of inertia of objects, as well as the total energy of an object within a conservative field can be found by the use of calculus.

Maxwell's theory of electromagnetism and Einstein's theory of general relate are also expressed in the language of differential calculus.

Chemistry also uses calculus in determining react rates and radioactive decay.


In biology, populate dynamics starts with reproduction and death rates to model population changes.

It can be use with linear algebra to find the "best fit" linear approximation for a set of points in a domain.

In analytic geometry, the study of graphs of functions, calculus is used to find high points and low points (maxima and minima), slope, concavity and inflect points.

Green's Theorem, which gives the relate between a line integral around a simple closed curve C and a double integral over the plane region D bounded by C, is applied in an instrument known as a planimeter, which is used to calculate the area of a flat surface on a drawing.

For example, it can be used to calculate the amount of area taken up by an irregular shaped flower bed or swimming pool when designing the layout of a piece of property.

In the realm of medicine, calculus can be used to find the optimal branching angle of a blood vessel so as to maximize flow. From the decay laws for a particular drug's eliminate from the body, it is used to derive dosing laws.

In nuclear medicine, it is used to build models of radiation transport in target tumor therapies.

In economics, calculus allows for the determine of maximal profit by providing a way to easily calculate both marginal cost and marginal revenue.
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Juliemiracle
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#2

Сообщение Juliemiracle »

lin_lina2019,
give us your answers first. Then we can discuss them.
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