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Physical Sciences and Mathematics Commons™
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Full-Text Articles in Physical Sciences and Mathematics
Area Of Irregular Shaped Roof, Omar Alkhawaldeh
Area Of Irregular Shaped Roof, Omar Alkhawaldeh
Undergraduate Journal of Mathematical Modeling: One + Two
This project makes use of calculus, specifically integration, to find the exact area of a roof garden to minimize the cost of material used in flooring it. Since the roof is of irregular shape, it is divided into four sections, the integral of each section is taken, and a relationship between the integrals is generated. Positive results are found, and the data reveal that the area of the grass floor is 175.3 m2 while the area of the wooden floor is 23.4 m2 with the total price being 2472 US dollars.
Calculus Application To Topographic Mapping, Veronica Zapata
Calculus Application To Topographic Mapping, Veronica Zapata
Undergraduate Journal of Mathematical Modeling: One + Two
The goal of the paper is to find the volume of water in a ditch. An example image of ditch is given in Appendix C. The first act that before any calculation can be performed is to record the field work. Once at the property the ditch must be identified. Three points of elevations per section should be measured by the surveyor; one point is at the center of the ditch (the lowest point) and the two ones are at the ends (the highest points). The sections are detailed in Appendix A. Using the elevation points from the property, we …
Finding The Area Of An Irregularly Shaped Room, Justin Walls
Finding The Area Of An Irregularly Shaped Room, Justin Walls
Undergraduate Journal of Mathematical Modeling: One + Two
This experiment utilized integration in a practical sense by determining the floor area of an irregularly shaped room. By taking the integral summation of three sections formed from semi-circles, the desired areas as well as positive results were found. The final data determined that the floor area of the irregularly shaped room was around 580 square feet.