⃗(x, y)=(3x−⃗ +⃗ f→(x, y)=(3x−4y)i→+2xj→ and is the counter-clockwise oriented sector of a circle centered at the origin with radius 44 and central angle /3π/3. use green's theorem to calculate the circulation of ⃗ f→ around .

By Green's theorem, the integral of along is

which is 6 times the area of , the region with as its boundary.

We can compute the integral by converting to polar coordinates, or simply recalling the formula for a circular sector from geometry: Given a sector with central angle and radius , the area of the sector is proportional to the circle's overall area according to

so that the value of the integral is

the total estimated nappy use.=10,500,000

step-by-step explanation:

given that on an average the average baby uses 3528 napkins.

in a particular year 2014, the number of births were 299697 in new south wales.

rounding off the number of births to the nearest hundred thousand we have

no of birtsh = 300000

also rounding off the average usage to nearst thousand we get

average use of a baby = 3500

hence total number of nappy estimated to be used = 3500x300000

= 10,500,000

answer is 10,500,000 nappies

a

step-by-step explanation: