Saturday, 28 March 2020

Mathematics II

Calculus has many practical applications in life, including: geography, computer vision like: self-driving vehicles, photography, artificial intelligence, robots, video games, and even movies, and in physics it is used to help define, explain, and calculate motion, electricity, Heat, light, harmonics, acoustics, astronomy, and dynamics dynamics.

 It is worth noting that Einstein's theory of relativity depends on calculus, which is the field of mathematics that also helps economists to predict the amount of profit a company or industry can make, as it is used in shipbuilding to determine both the hull curve as well as the area under the hull, in addition to that It is used to check answers to various mathematical disciplines, such as: statistics, analytical engineering, and algebra.

The calculus's success in formulating and predicting the physical laws led to the development of a new section in mathematics called analysis, of which calculus is a large part of it.

Calculus is today the primary language of science and engineering, the primary means by which physical laws are expressed in mathematical terms, and is an invaluable scientific tool in the additional analysis of physical laws, in predicting the behavior of electrical and mechanical systems governed by these laws, and in discovering new laws.

Principles of integration
The primary use of integral is in the form of a continuous copy of the addition, but integrals are often calculated by presenting the integral as basically a reversal of the differentiation. (This is actually called the basic theory of calculus.)

Integration applications in working life

Undefined integrals can be used to calculate the displacement of velocity and velocity from acceleration, and there are also some electronic applications that use this type of integration.

Method for measuring the size of a rotating object:
This method explains how to use integration to find anthropomorphic size with curved sides, for example wine barrels.

Find the midpoint of a given area:
Integration can be used to find the midpoint of a given area with two curved sides.

Finding inert torque:
Integration is used to calculate the resistance of the rotor, since integration is used when the shape is curved.

Calculation of the voltage causing the variable force:
We can use integrals to calculate the voltage accomplished on an object when the force is not fixed, and this application of integration includes Hooke's law of springs.

Calculate the output voltage when separating electrical charges from each other:
There is a force between electric charges that varies with the amount of charge and the distance between charges. We use integrals to calculate the work performed when these charges are separated from one another.

Calculate the average value of the curve using integration.

Head Injury Standard:
It is a medium value application and is used in road safety research.

Calculate the liquid pressure strength:
Vary according to body shape and depth, and we use integrals to calculate this force.

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