) The density of oil in a circular oil slick on the surface of the ocean at a distance of r meters from the center of the slick is given by δ(r)=401+r2 kilograms per square meter. Find the exact value of the mass of the oil slick if the slick extends from r=0 to r=5 meters.

Therefore the mass of the of the oil is 409.59 kg.

Step-by-step explanation:

Let us consider a circular disk. The inner radius of the disk be r and the outer diameter of the disk be (r+Δr).

The area of the disk

=The area of the outer circle - The area of the inner circle

=

Since (Δr)² is very small, So it is ignorable.

∴

The density

We know,

Mass= Area× density

Total mass

Therefore

                     = 409.59 kg (approx)

Therefore the mass of the of the oil is 409.59 kg.

what does muffins have to do with anything?

step-by-step explanation:

geometry: triangles

solvers

lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

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