Classical Study of Real Life Applications of Exponential Function

Al-DYAS Pub Date : 2024-05-24 DOI:10.58578/aldyas.v3i2.3048
Sujeena Kumari Shrestha, Asmita Thakur, Kripa Mandal, Roshni Purbay, S. K. Sahani, Kameshwar Sahani
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Abstract

 One of the most prevalent applications of exponential function involves growth and decay modes. Exponential growth and decay show up in a host of applications. From population growth and continuously compounded interest to radioactive decay and Newton’s law of cooling exponential function are ubiquities in nature. In this section, we examine exponential growth and decay in the context of some of the application. In the preceding section, we examined a population growth problem in which the population grew at a fixed percentage each year. In that case, we found that the populations can be described by an exponential function. A similar analysis will show that any process in which a quality grows by a fixed percentage each year (or each day, hours, etc) can be modeled by an exponential function. Compound interest is a good example of such a process. Other applications of exponential function are bacterial growth, bacterial decay, population decline are obtained in this project (see [1-27])
指数函数在现实生活中应用的经典研究
指数函数最普遍的应用之一涉及增长和衰减模式。指数增长和衰减在许多应用中都有所体现。从人口增长和连续复利到放射性衰变和牛顿冷却定律,指数函数在自然界中无处不在。在本节中,我们将结合一些应用来研究指数增长和衰减。在上一节中,我们研究了一个人口增长问题,其中人口每年以固定的百分比增长。在这种情况下,我们发现人口可以用指数函数来描述。类似的分析表明,任何质量每年(或每天、每小时等)以固定百分比增长的过程都可以用指数函数来模拟。复利就是这种过程的一个很好的例子。指数函数的其他应用还包括细菌生长、细菌衰变、种群衰退等(见 [1-27])
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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