The manufacturer of a boat needs to approximate the center of mass of a section of the hull. A coordinate system is superimposed on a prototype (see figure). The measurements (in feet) for the right half of the symmetric prototype are listed in the table. X I d(x) = d 0 0.5 1.0 1.5 2 1.50 1.45 1.30 0.50 ++ -20 -1.0 0.48 1.0 0.99 d 4+++ 1.0 0.43 0.33 0 X 0 2.0 (a) Use Simpson's Rule to approximate the center of mass of the hull section. (Round your answers to three decimal places.) (x, 7) = ( (b) Use the regression capabilities of a graphing utility to find fourth-degree polynomial models for both curves shown in the figure. (Use nine data points. Round your coefficients to five decimal places.) f(x)= 2.6639
The manufacturer of a boat needs to approximate the center of mass of a section of the hull. A coordinate system is superimposed on a prototype (see figure). The measurements (in feet) for the right half of the symmetric prototype are listed in the table. X I d(x) = d 0 0.5 1.0 1.5 2 1.50 1.45 1.30 0.50 ++ -20 -1.0 0.48 1.0 0.99 d 4+++ 1.0 0.43 0.33 0 X 0 2.0 (a) Use Simpson's Rule to approximate the center of mass of the hull section. (Round your answers to three decimal places.) (x, 7) = ( (b) Use the regression capabilities of a graphing utility to find fourth-degree polynomial models for both curves shown in the figure. (Use nine data points. Round your coefficients to five decimal places.) f(x)= 2.6639
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.1: Parabolas
Problem 58E
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