Faculty of Science (FSC)
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Browsing Faculty of Science (FSC) by Subject "Application"
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Item Restricted Analysis of Differentiation and Its Application.(Kabale University, 2019) Kirabo, FlaviaThe purpose of this project was to analyze operational principles of differentiation in calculus and problems faced by mathematicians and scientists.Item Restricted Application of Laplace Transform For Solving Population Growth and Decay Models.(Kabale University, 2022) Natukunda, PamellahThis study is about the application of Laplace Transform for solving population growth and decay models. It is majorly concerned with the linearity property of the Laplace transform, How the Laplace transform is used in solving population growth and decay model, and How the Laplace transform is used in solving population growth and decay models demonstrated. Laplace can be used to convert complex differential equations to a simpler form having polynomials, convert derivatives into multiple domain variables, and then convert the polynomials back to the differential equation using the Inverse Laplace transform, telecommunication field to send signals to both sides of the medium. For example, when the signals are sent through the phone they are first converted into a time-varying wave and then superimposed on the medium and for many engineering tasks such as Electrical Circuit Analysis, Digital Signal Processing, and System Modelling. The given application shows the effectiveness of the Laplace transform for solving population growth and decay problems. The proposed scheme can be applied for compound interest and heat conduction problems. I encourage mathematicians to use the Laplace transform model in solving differential equations and population models since it is perfect and easy to solve.Item Open Access Application of Multiple Linear Regression Analysis on Academic Performance in Universities.(Kabale University, 2022) Nareeba, CrispusSome students can do well but do not apply themselves, while others with less ability will study extremely hard and get good grades. So, there is variability that shows up naturally. However, by looking at a large group of student's patterns, there should appear to be an estimate based on all of these different aspects of a student's past. The purpose of the study was to analyze the Application of multiple linear regression analysis on academic performance of students in Universities.Item Restricted Application of The Simplex Method in Crop Planning.(Kabale University, 2023) Masereka, JoelIn this study, the researcher intended to propose and investigate a model that describes how a farmer can allocate his land to three crops namely; maize, groundnuts, and beans, to maximize yields and consequently maximize profits, given that he has 20 acres of land and other resources amounting to 5,800,000 shillings to be spent on inputs, and 7,500,000 to be spent on labor. 'it further shows that, after applying the simplex method to the model, beans are more profitable compared to groundnuts and maize. Furthermore, we show that the farmer can make a maximum profit of 14,058,765 shillings if he plants 14.94 acres of land. This indicates that farming beans pay much better than farming groundnuts and maize.