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…
All types of kids will die someday no matter how hard you try to make their lives better economically; similar to the tale “Kids Who Die” by Langston Hughes. Hughes was a literary icon well known for writing about the African Americans’ experience with racism and discrimination during the 1950-1960’s. He was the leading voice of the Harlem Renaissance promoting upcoming young poets. On the other hand, he was the first black poet to support himself through his writing, according to the Poetry…
as the R² value is 0.9697. The hypothesis that the reaction would be first order was also supported, which can be seen in graph 2 of the results, where the natural log of the molarity was plotted against time and the trendline was linear, with the equation of ln(M) = 0.0016t + 0.1434. This is because…
expansion in general. After that, I will introduce Jade Mirror of the Four Unknowns written by Zhu Shijie around 14th century AD. My focus will be his idea of using the “four unknowns” to convert a problem into a mathematical system of polynomial equations. Later on, I will also…
Paragraph 1 The crystal chemical relationship between quartz (SiO2) and FePO4 can be studied by putting them under a temperature range of 294K to 1073K in an attempt to study the evolution of their structures. In doing so, we would able to examine the other quartz homeotypes that emerge during high temperatures and known to show a-b transitions. This study of quartz homeotypes were essential because the new information that was gathered would aid greatly in the creation of new products and more…
General Equipment • DHP Logistics (Frank)/ DHP Facilities (Russ Manning) o DHP confirmed that gaps exist in the DMLSS and DPAS systems. o DHA indicated that there is significant difference in asset amount for GE items (same asset on SMA books) due to purchasing and pricing of the asset. o The definition of pilferable items are component specific; whereas, SMA Navy may deem an item as pilferable and SMA Army may not deem the same item as pilferable. o Equipment in excess of the 250K…
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.…
Freezing and crystallization are linked in that both processes involve initial nucleation followed by crystallization. Sonication is thought to enhance both the nucleation rate and rate of crystal growth in a saturated or supercooled medium by producing a large number of nucleation sites in the medium throughout the ultrasonic exposure. Two main theories which explained the mechanism of nucleation are Hickling theory and molecular segregation theory. Among two theories Hickling is most commonly…
The amount of time required for a chemical reaction to come to completion can vary tremendously depending on the reaction (Addison-Wesley, 2002). The speed at which any reaction proceeds can be defined as a reaction rate (J. Laidler, 2015). The rate of reaction can only be obtained experimentally, in order to yield a rate law. By conducting this experiment, it has the potential to harvest useful information regarding the understanding of rates of reaction. Understanding the rate of reactions is…
clock turns hours to days and days to years, details begin to protrude, warping the facade of childhood stories to their true state, presenting anything but a happy ending. Such stories are presented as Popular Mechanics by Raymond Carver, The Cold Equations by Tom Godwin, and This Year’s Class Picture by Dan Simmons, these three tales strive to entertain and warn about the choices and consequences of life and how it is not always what is desired. These three authors all portray characters as…