keleakelea
03.03.2020 •
Mathematics
Find the mass and center of mass of the lamina that occupies the region D and has the given density function rho. D = {(x, y) | 1 ≤ x ≤ 9, 1 ≤ y ≤ 4}; rho(x, y) = ky2
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Ответ:
Step-by-step explanation:
Let's begin with the mass definition in terms of density.
Now, we know the limits of the integrals of x and y, and also know that ρ = ky², so we will have:
Let's solve this integral:
So the mass will be:
Now we need to find the x-coordinate of the center of mass.
Now we need to find the y-coordinate of the center of mass.
Therefore the center of mass is:
I hope it helps you!
Ответ:
idk
Step-by-step explanation: