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 p right half of the symmetric prototype are listed in the table. 0 0.5 1.0 1.5 2 1.50 1.45 1.30 0.99 0 0.50 0.48 0.43 0.33 0 1.0 -2.0 -1.0 1.0 20 (a) Use Simpson's Rule to approximate the center of mass of the hull section. (Round your answers to three decimal places.) (x, y) = (0,1.068x) d

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter64: Volumes Of Spheres And Composite Solid Figures
Section: Chapter Questions
Problem 27A
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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.
Xx
0
0.5
1.0 1.5 2
I 1.50
1.45 1.30 0.99 0
d 0.50 0.48 0.43 0.33 0
2
1.0
-
-2.0 -1.0
1.0 2.0
(a) Use Simpson's Rule
approximate the center of mass of the hull section. (Round your answers to three decimal places.)
(x, y) = 0,1.066 1x)
(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) =
d(x) =
d
Transcribed Image Text: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. Xx 0 0.5 1.0 1.5 2 I 1.50 1.45 1.30 0.99 0 d 0.50 0.48 0.43 0.33 0 2 1.0 - -2.0 -1.0 1.0 2.0 (a) Use Simpson's Rule approximate the center of mass of the hull section. (Round your answers to three decimal places.) (x, y) = 0,1.066 1x) (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) = d(x) = d
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