Modeling Data .\ draftsman is asked to determine theamount of material required to

Chapter 6, Problem 56

(choose chapter or problem)

Modeling Data .\ draftsman is asked to determine theamount of material required to produce a machine part (seefigure in first column). The diameters of the part at equallyspaced points .v are listed in the table. The measurements arelisted in centimeters.(a) Use these data with Simpson's Rule to approximate thevolume of the part.(b) Use the regression capabilities of a graphing utility to finda fourth-degree polynomial through the points representingthe radius of the solid. Plot the data and graph the model.(c) Use a graphing utility to approximate the definite integralyielding the volume of the part. Compare the result with theanswer to part (a).

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