Modeling Data The manufacturer of a boat needs lo approximate the center of mass of a

Chapter 6, Problem 42

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Modeling Data The manufacturer of a boat needs lo approximate the center of mass of a section of the hull. A coordinatesystem is superimposed on a prototype (see figure). The measurements (in feet) for the right half of the s\mmctricprototype are listed in the table.(a) Use Simpson's Rule to approximate the center of mass ofthe hull section,(b) Use the regression capabilities of a graphing utility to findfourth-degree polynomial models for both curves shown inthe figure. Plot the data and graph the models.(c) Use the integration capabilities of a graphing utihty and themodel to approximate the center of mass of the hull section.Compare with the result in part (a).

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