Question

Find the mass and the center of mass of the lamina that occupies the region R and
has density ρ(x,y).

R= {(x,y)| 0≤x≤2, −1≤y≤1} ; ρ(x,y)=xy^2

Please explain step by step

Answer 1

use trigonometry for making it easier

Answer 2

i guess u have to use integration

Answer 3

math.sci.ccny.cuny.edu/document/show/2241- go to this link!

Answer 4

is it areal density??