By Green's theorem,
![\displaystyle\int_C(9y+x)\,\mathrm dx+(y+3x)\,\mathrm dy=\iint_D\frac{\partial(y+3x)}{\partial x}-\frac{\partial(9y+x)}{\partial y}\,\mathrm dy\,\mathrm dx=-6\iint_D\mathrm dy\,\mathrm dx](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Cint_C%289y%2Bx%29%5C%2C%5Cmathrm%20dx%2B%28y%2B3x%29%5C%2C%5Cmathrm%20dy%3D%5Ciint_D%5Cfrac%7B%5Cpartial%28y%2B3x%29%7D%7B%5Cpartial%20x%7D-%5Cfrac%7B%5Cpartial%289y%2Bx%29%7D%7B%5Cpartial%20y%7D%5C%2C%5Cmathrm%20dy%5C%2C%5Cmathrm%20dx%3D-6%5Ciint_D%5Cmathrm%20dy%5C%2C%5Cmathrm%20dx)
where
is the disk with
as its boundary. The integral is simply -6 times the area of the disk
, which has radius √6, and hence area 6π, so the value of the integral is -36π.
Answer:
12.96
Step-by-step explanation:
try to found 20% of 10.8 and add it to 10.8
20% equal to 4quarter
4 quarter of 10.8 is 2.16
Answer:
did you understand ? do I have to solve all?
Answer:
18
Step-by-step explanation:
6+3=9 so do 9 add 8 =18 is another word is inverse
Answer:
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