# Exponential function

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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, x, varies but the exponent of each term, p, remains constant. However, in this chapter and unit, we are exploring functions of the form f(x) = bx where the base b is a constant…

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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…

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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…

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CONNECTIONS OF LOGARITHMIC FUNCTIONS Logarithm and exponential functions have close relationship and they are inverse function of each other in a way. Before explicitly clarifying this inverse relationship, we should analyze their definitions. Logarithm means, in mathematics, “The exponent that indicates the power to which a base number is raised to produce a given number “2 Exponential function means that “mathematical function in which an independent variable appears in one of the…

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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…

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If I were asked to determine what Broadway show best represents my life, I would reply simply, Rent. Loosely adapted, my role would be to portray main character Roger Davis . I say this because Rodger and I are similar in the way that we both have a hard time coming up with new and original content. While Rogers issue revolves around his music, my issue is with essays. Ironically, we both know new material is necessary for our occupations, but due to certain circumstances we are both unable to…

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One of the reasons why companies expand internationally is to have access to new markets. One such global company, who this writer happens to be very familiar with, is an automobile dealer group called Weins Canada, which is a wholly-owned subsidiary of Weins Group in Japan. The company got its start in 1956 with its first dealership network, called Yokohama Toyopet. The company’s founder, Kanji Miyahara Sr., saw an opportunity to diversify and, potentially, to add exponential growth in…

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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…

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Fundamental Theorem of Calculus The Fundamental Theorem of Calculus evaluate an antiderivative at the upper and lower limits of integration and take the difference. This theorem is separated into two parts. The first part is called the first fundamental theorem of calculus and states that one of the antiderivatives of some function may be obtained as the integral of the function with a variable bound of integration. The second part of the theorem, called the second fundamental theorem of…

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John Gutmann was one of America’s most distinctive photographers. Gutmann was born in Germany where he became an artist. He later fled Germany due to the Nazi’s because he was a Jew. Gutmann moved to San Francisco and re-established himself as a photojournalist captivating the lives of Americans. He mainly took photographs of people who were imperfect like himself because of his Jewish nationality. Gutmann targeted the poor, circus folk, the gay community and the rich. Two of Gutmann’s works are…

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