Find the mass and center of mass of the lamina that occupies the region D and has the given density function ρ. D = {(x, y) | 0 ≤ x ≤ 4, −1 ≤ y ≤ 1};  ρ(x, y) = 7xy2

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter8: Further Techniques And Applications Of Integration
Section8.3: Volume And Average Value
Problem 20E
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Find the mass and center of mass of the lamina that occupies the region D and has the given density function ρ.

D = {(x, y) | 0 ≤ x ≤ 4, −1 ≤ y ≤ 1};  ρ(x, y) = 7xy2
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,