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shopping, travel, measurements and money are the real life applications of real number system.
That depends on what your "real life" consists of. If you sell merchandise at a supermarket, or do carpentry work, you won't need such advanced mathematics. If you work in the engineering fields, you might need it at some moment like with electromagnetic fields, gravitational fields and fluid flow. If you are an engineer you will come across vector calculus to handle three dimensional space.
Physicists, chemists, engineers, and many other scientific and technical specialists use calculus constantly in their work. It is a technique of fundamental importance.
Yes if it was not practical it was not there. You can see the real life use on this link http://www.intmath.com/Applications-differentiation/Applications-of-differentiation-intro.php
in real life what are applications of alanlytical geometry
There are no real life applications of reciprocal functions
There are many examples of daily life applications of real numbers. Some of these examples include clocks and calendars.
Pretty much everything can be applied to calculus, and calculus to everything. If you have ever read the novel "Halo" you can see (in the first book) that Master Chief, had forgotten how much gravity was on the space-craft, and used calculus to determine the acceleration of gravity by timing the drop of a bolt and figuring out everything else. Calculus is especially important for any kind of profession that involves projectiles.
an elevator
none
they are no uses
What are the Applications of definite integrals in the real life?