Greetings to the whole platform of Steemit, especially to my valued friends who support the academic content, it allowing to strengthen the platform with content of scientific utility for all the users. For this occasion I want to share the following essay on the observation of germination of seeds of pepper (Capsicum annuum) , using as mathematical tool integral to calculate his capacity of germination according to the time.

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The growth is a constant increase in the size of an organism, accompanied of processes as the morfogénesis and the cellular differentiation (Taiz and Zeiger 2006).

The application of the integral serves us to solve problems in different field of the science as: economy, physics, biology, which we can take as example, is desirable to know the valuation of growth of a population, in which, it will serve us to know or to estimate population future. For my experimental case, I want to share it as contribution in area of farming and orchards in which it is possible to evaluate the analysis of growth thinking, a quantitative approach, that it uses simple and basic information, for the description and interpretation of the plants, which grow under natural, seminatural or controlled ambience.

Methodology.

For this essay the field was prepared in a classic way, which involves the capture of information according to the time, applying as mathematical tool the integral, her applying itself for the seed of pepper (Capsicum annuum) , in his process of germination, low following circumstances, it is dependent on the genetic change and on the environmental conditions, establishing relation it plants - suelo-atmósfera as factors, since of 100 % of the taken seeds, they have a probability at a level of confidence that you germinate 90 % according to the taken sample or taken seeds.

I marry to analyzing.

They took a quantity of seeds of peppers, of a healthy pepper (Capiscum annum) , where which we will try to calculate this essay of investigation the population of germinated seeds and his analysis. We want to know the population who grows to a rhythm of :7x + x + 1, : ¿as soon as she will be the population during the next 15 days?

Is necessary to realize well following my reading friends, that the function that give us is the derivative and 0 do not give us the size of the population in the time in x =, the result of our integral of the function will be evaluated us d by 0, 15 that you represent the days, speaking in terms of value of size of the population when x = 0.

So that it serves us the application of the tool of the integral one, this application will give us an equation capable of calculating what we want to know about the population, with a time 0. On the other hand also we have as information because 1 established the rhythm of growth in the following equation 7x + x + 1, considering seven days that it takes in the seed germinates, according to the whole of the seeds and according to one of the above mentioned population.

So that it serves us the application of the tool of the integral one, this application will give us an equation capable of calculating what we want to know about the population, with a time 0. On the other hand also we have as information because 1 established the rhythm of growth in the following equation 7x + x + 1, considering seven days that it takes in the seed germinates, according to the whole of the seeds and according to one of the above mentioned population.

Have following information.

Have following information.
The function:7x + x + 1and 15 days
We have the following thing:

F(x)= 7x + x + 1
∆F(x)= 7(15) + 15 +1
∆F(x)= 121

Have a population of 121 seeds germinated in 15 days, which in his development are already seedlings.

Next we need to know how much she is the population of seeds germinated 21 days that the maximum of days of germinating 100 % of the taken seeds, have a probability at a level of confidence that you germinate 90 % according to the taken sample or taken seeds, because 100 % is not considered to be entire of the seeds one germinates in his totality, owed that they not all manage to be germinated due to several factors that influence, as the humid one, types of soils, ideal development of seeds of the taken fruit or seeds of the farming, but to take better information for the analysis, we will add him for 7 days also like first weeks.

For 7 days.

F(x) = 7x + x + 1
∆F(x) =7(7) +7+1
∆F(x) = 57

the population is 57 germinated seeds for 7 days.

21 days are the days in which they germinated in his totality the population of the seeds.
For 21 days.

F(x) = 7x + x + 1
∆F(x) =7(21) +21+1
∆F(x) = 169

169 is the ideal one of the population of seeds germinated.

Graph 1. It shows us the rhythm of geminación according to the time up to coming to his ideal point. (Prepared for @chetoblackmetal)

Results.

For the analysis we realize the following table.

This application helps us in the decision making on planning and handling of horticultural farmings. These models take as a fundamental target the ratification of the viability of seed used in this case that of pepper (Capsicum annuum) ; also it is important that can design equations for different farmings as his characteristic, family and species (Table prepared for @chetoblackmetal)

We manage to obtain the ideal one of seeds to 21 days and the rhythms of germination for these three moments:

The rhythm of germination from 0 until 7 days they are 57 seeds

The rhythm of germination from 7 until 15 days they are 64 seeds

The rhythm of germination from 15 until 21 days they are 48 seeds.

Contribution on this essay.

Taking in account that they exist precedent on that of the mathematics as hardware in the agriculture, it is important to stand out applying it it allows us to have control on our farmings, also as a contribution of my experience the record of the date of beginning of germination, to know the viability of the seeds to use, also it is possible to establish equation with variables that influence his growth already when the plant is adult, also we have the case of the fruit trees or the silvers of fruits, meeting the variety and the type can establish or estimate the approximate quantity of fruits, new paragraph also can estimate the number of plant for hectare to sow, to determine the quantity of fertilizers and nutriente according to the length of the area, it is fascinating what we can design with the implementation of the application of integral in this field of the science.

bibliographical Reference.

MATHEMATICS STANDARD LEVEL, (2008) 3 rd Edition (For the IB Diploma) Oxford University Press.

Pepper Blackish, July; Acosta Argüello, Vicente; Ramos Zarco, Octaviano; Villegas C, Guillermo (2006). The mathematical III.rd (1st Edition). Mexico Pearson Prentice Entrance hall.

Algebra and trigonometry with analytical geometry of Earl W. Swokoski.

ALVAREZ, the V and Ist. URRUTIA: An experience in the use of the mathematics as complement in the education of the Mathematical Analysis '. In: The IIIrd International Workshop: ' The education of the Mathematics and the Computation in the Higher education '. University of Havana. Cuba, 2000.

Applications of the mathematical modeling and the simulation of agricultural farmings in Cuba

Application of the integral calculus to the resolution of economic problems Author @chetoblackmetal