Exponentials

There are several areas in the natural world where the process of exponential decay arises from random processes. Whenever a material decays at a rate in proportion to its amount, this material represents the process of exponential decay. Exponential decay can be described using the mathematical model y=a×e^(-bx). A prominent example of naturally occurring random exponential decay is the process of radioactive decay. Some isotopes of nature are considered radioactive due to a specific characteristic of their nucleus. Radioactive isotopes, or radioisotopes, do not contain the proper amount of neutrons. As a result of this, the nucleus of radioisotopes is unstable. The instability causes them to emit particles or electromagnetic waves from…

a student who would be just sitting there with a blank look on their face and ask them if they understood what they were doing. Without fail the student would say “Yes.” I then followed up by saying, “Okay, show me.”, and the student would proceed to just sit there without a clue. At that point I would start to explain the problem to them and help them work through it, but if I wasn’t there they may not have gotten any help at all and would have continued forward without understanding how to…

The population is growing at an exponential rate and utilizing the Earth’s natural resources has become a global endeavor to manage. Industrialized nations have the potential to produce tremendous amounts of emissions per capita; consequently, it also has the means to develop new renewable energy sources to maintain the quality of life it is accustomed to and still reduce the overall carbon footprint it sets. Developing nations therefore, ought to be a primary focus in the coming decades as the…

concept should be taking seriously. In this unit 5 learning journal, my concentration would be on Exponential and Logarithmic Functions. In section 1, we are told that among all the functions we have examine so far in this course, the exponential and logarithmic functions are the very ones that mostly impact our daily lives the most (Yakir, 2011). In previous learning, we dealt with various functions which includes terms like x2 or x2=3, that is, terms of the form xp where the base of the term,…

A lot has been said about "productivity" since the industrial revolution, but how will productivity fill up the vacuum of fewer people? What about old people who in general are less productive and the Western world are indeed getting older every day. We must accept that we are confined to very low growth rates for a long, long time. Exponential economic growth, with no increase in population means that the current population needs to do one of two things and most likely a combination. 1. Prices…

rate of E. coli growth over 100 minutes in a heated liquid growth medium. The prediction is that the control E. coli culture will grow at a faster rate exponentially over 100 minutes than the experimental bacteria culture. Consequently due to heat application, the experimental bacteria will not grow over the 100 minutes, and will either move into G0 of its cell cycle or will produce descending results as cell death occurs. The null hypothesis for this experiment is that the experimental E. coli…

of determination of 0,99 and this shows that 99% of the total variation in absorbance can be explained by the linear relationship between absorbance and concentration of the solutions. The other 1% of the total variation of absorbance will remain unexplained. The absolute correlation coefficient (r) is 0,99, which shows a very high correlation. As well as, because r is positive, it shows that absorbance increases as concentration increases. Figure 1 was then used to find out the concentration of…

was pressured to conform to what is normal in our society. Like Harbisson, humans base a lot of emotions through color so it would only make sense to try and fit in. Cyborgs like Harbisson will become more prevalent in future society, hence creating a societal norm to merge with technology. The cyborg (Neil Harbisson) is the answer to reaching a singularity in part because he is legally recognized by the government and provides ideas about how we can change the way in which humans view the…

R strategies have the population of the given species influx up and down (basically going through a boom and bust cycle). These relate to carrying capacity of an area because they are going to determine how the population grows. whether it be a constant influx of the species or follow a sort of J-curve 5. DESCRIBE the difference between logistic growth and exponential growth. How do they look when graphed? Give EXAMPLES of natural situations where you would see each. ANSWER: An exponential…

Globalization, in its modern form, came to Bangladesh in the 1980s with the expansions of the garment industry. Reaz and Jewel Garments, the first garment-exporting firm, was established in 1977, at a time when Bangladesh’s total export comprised of about 6.3 percent of its GDP (Ahmed et al., 2014; Rashind, 2006). In the 1980s, the South Korean firm Daewoo played an important role in the industry’s takeoff when it partnered with Desh Garments. Since the end of the MFA in 2005, clothing exports…