A lamina occupies the part of the disk x2+y2≤4 in the top half. Find its mass if the density at any point is 2.3 times the point's distance from the origin.

Its mass is 9.2 if the density at any point is 2.3 times the point's distance from the origin.

Step-by-step explanation:

Since we have given that

Take polar coordinate:

And we know that

So, it becomes,

Since density at any points is 2.3 times the point's distance from the origin.

So, the mass of the lamina is given by

Hence, its mass is 9.2 if the density at any point is 2.3 times the point's distance from the origin.