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4. [0/1.66 Points] DETAILS PREVIOUS ANSWERS LARCALC11 7.2.070. 1/3 Submissions Used A draftsman is asked to determine the amount of material required to produce a machine part (see figure). The diameters d of the part at equally spaced points x are listed in the table. The measurements are listed in centimeters. x 01 2 3 4 5 6 7 8 9 10 d 4.2 3.8 4.2 4.6 5.2 5.6 5.7 5.4 4.8 4.4 4.6 -3 (a) Use the regression capabilities of a graphing utility to find a fourth-degree polynomial through the points representing the radius of the machine part. (Round your coefficients to four decimal places as needed.) F(x) = 0.0049x* – 0.1038/3 +0.6510x2 - 0.9955x + 4.2260 X Plot the data and graph the model. 3 y 3 y hhh 2 1 8 10 10 4 2 6 8 10 0 2 10 X 10 x (b) Use the integration capabilities of a graphing utility to approximate the volume of the machine part. 735.4821 x Need Help? Read It Submit Answer