This was 9 or 8 months ago and no one answered the question
Consider the number of the adult tickets is x
X+2x=276
3x=276
X=92
So the student tickets is =184
The area around the given curve according to the green theorem is
.
According to the statement
we have to find the area enclosed by the simple closed curve that encloses the origin.
So, We know that the
The given equation is
![f(x,y) = \frac{2xyi + (y^{2} - x^{2} ) j}{(x^{2} + y^{2} )^{2} }](https://tex.z-dn.net/?f=f%28x%2Cy%29%20%3D%20%20%5Cfrac%7B2xyi%20%2B%20%28y%5E%7B2%7D%20%20-%20x%5E%7B2%7D%20%29%20j%7D%7B%28x%5E%7B2%7D%20%2B%20y%5E%7B2%7D%20%29%5E%7B2%7D%20%7D)
and
If function is in form of,
![F = Pi + Qj](https://tex.z-dn.net/?f=F%20%3D%20Pi%20%2B%20Qj)
and C is any positively oriented simple closed curve that encloses the origin.
Then,by use of Green's theorem
Do the partial differentiation of the given function
Then
![\frac{dQ}{dx} = \frac{2x^{3} - 6xy^{2}}{(x^{2} + y^{2} )^{3}}](https://tex.z-dn.net/?f=%5Cfrac%7BdQ%7D%7Bdx%7D%20%3D%20%20%5Cfrac%7B2x%5E%7B3%7D%20%20-%206xy%5E%7B2%7D%7D%7B%28x%5E%7B2%7D%20%2B%20y%5E%7B2%7D%20%29%5E%7B3%7D%7D)
and
![\frac{dP}{dy} = \frac{2x^{3} - 6xy^{2}}{(x^{2} + y^{2} )^{3}}](https://tex.z-dn.net/?f=%5Cfrac%7BdP%7D%7Bdy%7D%20%3D%20%20%5Cfrac%7B2x%5E%7B3%7D%20%20-%206xy%5E%7B2%7D%7D%7B%28x%5E%7B2%7D%20%2B%20y%5E%7B2%7D%20%29%5E%7B3%7D%7D)
On substitution in Green's theorem,
We get the value
![F. dr = 0](https://tex.z-dn.net/?f=F.%20dr%20%3D%200)
From this it is clear that the area around the given curve is zero.
So, The area around the given curve according to the green theorem is
.
Learn more about Green theorem here
brainly.com/question/23265902
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The better deal would be the Mini-Cans. If you want to find the value for each of them you first have to decide one value you want them to be in. I chose milliliters. Each liter is equal to 1,000 milliliters. For the liter drinks it means that there is 2,000 milliliters combined. From then you can find the value for each. If you wish to find out the value per milliliter you can simply divide it by 4. The number you get is what each is equal to which is .65. For the next drinks it's the same steps so it would be .852. The best option, the mini cans, is .44. They are the cheapest by around 21 cents less than the liter drinks.