A large metal disk with radius of 2 m has been made. The density of the metal disk is given by p(r, y) = 3+ 8xy kg/m². A section of the disk from 0 = 0 to 0 = /2, as shown in the figure below. %3D
A large metal disk with radius of 2 m has been made. The density of the metal disk is given by p(r, y) = 3+ 8xy kg/m². A section of the disk from 0 = 0 to 0 = /2, as shown in the figure below. %3D
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Transcribed Image Text:A large metal disk with radius of 2 m has been made. The density of the metal disk is given by p(x, y) = 3+ 8ry kg/m?.
A section of the disk from 0 = 0 to 0 = a/2, as shown in the figure below.
Note: the diagram is only a representation of the problem, and does not show the 8 angle accurately.
Determine the mass of the shaded piece.
Mass of shaded piece? (Answer should be rounded to 2 decimal places)
Hint: This problem is easier in polar coordinates.
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