The region = square centimeter. The mass of is: mass x = {(x, y) | 0 ≤ y ≤ 3 cos x; 0 ≤ x ≤ π/2} has density function p(x, y) = 4y grams per and the coordinates of the center of mass of are: y = || g cm cm

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.1: The Rectangular Coordinate System
Problem 41E: Find the exact lateral area of each solid in Exercise 40. Find the exact volume of the solid formed...
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How do you find the mass and the center of mass?

The region = {(x, y) |0 ≤ y ≤ 3 cos x; 0≤x≤T/2} has density function p(x, y) = 4y grams per
square centimeter.
The mass of is:
mass
X =
and the coordinates of the center of mass of are:
15
D.O
y
g
cm
cm
Transcribed Image Text:The region = {(x, y) |0 ≤ y ≤ 3 cos x; 0≤x≤T/2} has density function p(x, y) = 4y grams per square centimeter. The mass of is: mass X = and the coordinates of the center of mass of are: 15 D.O y g cm cm
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