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…
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…
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…
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…
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…
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…
The fundamental theorem of Calculus: The fundamental theorem of calculus asserts the interrelated properties of integration and differentiation. It says that a function when differentiated, can be brought back by integrating (anti-derivative) or a function when integrated, can be brought back by differentiation. First theorem: Let f be a function that is integrable on [a,x] for each x in [a,b], then let c be such that a≤c≤b and define a new function A as follows, A(x)=∫_c^x▒f(x)dt, if a≤x≤b.…
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…
Memory and personal identity are an integral part of our lives. These characteristics and traits assist us in the way we make decisions and approach situations. Memory in relation to personal identity is a topic that has been studied by several Philosophers. The question of whether or not memory presupposes identity is a circular one, and therefore makes this question important. To study this, I looked at Parfits theory of Psychological continuity, and how it was seen as problematic due to its…
Materiality and Identity Megan Holmes’s “Miraculous Images in Renaissance Florence” examines many of the ramifications of materiality. The materiality, an image’s physical properties, has direct impacts on the expression and popularity of immagini miracolose. These sacred images are subjects of miracles throughout the late 13th to 16th centuries. Two of the most important ramifications of materiality include the accessibility of the religious images and manifestation of the miracles. In this…