Inverse trigonometric functions

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…

Results: At the start of the experiment, the initial flow rate was established as 20 ml min-1. This means that there is a steady flow of fluid or blood in your body (in this case, water) at a rate of 20ml min-1. In order to find the final concentration of the Eosin (2,5 mg ml-1) in the “blood” after 60 minutes a calibration curve had to be created by making up seven different solutions of eosin (11,25 μg ml-1) and water to compare it against their absorbance that was calculated in a…

In 1540, a man by the name of Lodovico Ferrari, please be aware that I don’t think his name has anything to do with the sports car, was an Italian mathematician known for discovering the solutions to quartic functions. A quartic function is a function of the form ax^4 + bx^3 +cx^2 +dx+e, where a is a nonzero, which is defined by a polynomial raised to the fourth degree, called quartic polynomial. We will probably go more in depth about these quartic polynomials soon in class. My quartic…

Have you ever looked at your math paper and questioned why do I have to make a trend line? Is making a trend line really necessary? Well, trend lines allow the user to see a more defined trend of the data. Also, the creation of a trend line allows a correlation between the two subjects to be viewed easier. Trend lines help people accurately determine future outcomes that can come in handy if there is a problem. This is possible because trend lines make it easier to find the slope intercept…

people with type 2 diabetes to adhere with their treatment plan to improve diabetes care as measured by serial HbA1c measurements over an 18 month study period. This study was particularly notable because it also used other endpoints such as renal function (assessed by estimated glomerular filtration rate and urinary albumin to creatinine ratio), the lipid profile, (assessed by total, HDL and LDL cholesterol and triglyceride levels), and other indices such as blood pressure, waist…

Manifest Functions/pg. 81: the intended beneficial consequences of people’s actions. Manifest functions are a common thing in the mega slum of India, while everyone has their own worries and tasks to do on a daily basis, many are still willing to do what they can not only for themselves but to help others…

Course ADVANCED ECONOMETRICS Programme MSc in Finance Site HEC Lausanne Semester Fall 2014 Module Leader Diane Pierret Teaching Assistant Daria Kalyaeva Assessment Type: Empirical Assignment Assessment Title: A Dynamic Model for Switzerland GDP Written by: Group Y (Ariane Kesrewani & Alan Lucero) Additional attachments: Zip Folder containing Matlab code, data and…

Erard shows that bilinguals are better cognitive thinkers. His research reveals that going from language to language is easier. (This is the same for multitasking, and focusing on certain tasks, while later transitioning with ease.) Their executive functions were more mature, and the effects of aging were lessened. Since language knowledge improves brain health, the mind lives longer alongside multiple languages or dialects. Bilingualism in children proves this point, since children are learning…

invariant (LTI) systems the relationship between the input and the output could be described in the frequency domain through frequency response functions (FRFs). In these systems an input with the frequency of f1 creates an output at frequency f2. The gain function of FRFs describes the relationship between input and output amplitudes and the phase function describes the timing information (i.e. lead or lag). Periodic systems like locomotion however are not LTI. Close to their point of operation…

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