MATH PROJECT Term Paper Example | Topics and Well Written Essays - 1000 words

MATH PROJECT - Term Paper ExampleIn this work the cross-section of a sewer has been optimized to contain maximum urine with a fixed amount ( distance) of the material of construction.A gutter is to be made of plastic to catch water at the edge of a roof. of course the manufactures would like to have a design of a gutter that hold maximum of water with a given amount of material required to manufacture the gutter. Now the problem is what should be the shape of the cross section of the gutter.This appears to be a problem of maxima and minima. Looking at the suggested cross sections the problem reduces to minimizing the periphery of the gutter cross section for a given area of the cross-section, this is because, while the periphery is made of the construction material (here plastic) the cross-section hold the water.Let us come to that the length of material (here plastic) is l and this is folded to make different cross sections for the gutter with area A. Now for a given area A, the length of the material L should be minimized or for a given length of the material L, the cross-sectional area A should be maximum. In this analysis, four shapes will be considered Triangular cross - section, Rectangular Cross section, Semicircular cross section and circular cross