Yes. A is the right graph because the line must travel through two points: (0 ,1)and(-3, 0)
Answer:
x - y = -9
Step-by-step explanation:
from the equation
3y - x = 3
and x is four times the value of y
i.e x = 4y
put x = 4y into the first equation
we have;
3y - 4Y = 3
-Y = 3
Divide both sides by -1
we have
y = -3
so put y = -3 in the 2nd equation
i.e x = 4y
x = 4 × -3
x = -12
therefore x = -12 and y = -3
so tho find x - y
we have
-12 - (-3)
= -9
therefore x - y = -9
The line integral along the given positively oriented curve is -216π. Using green's theorem, the required value is calculated.
<h3>What is green's theorem?</h3>
The theorem states that,

Where C is the curve.
<h3>Calculation:</h3>
The given line integral is

Where curve C is a circle x² + y² = 4;
Applying green's theorem,
P = 9y³; Q = -9x³
Then,



⇒ 
Since it is given that the curve is a circle i.e., x² + y² = 2², then changing the limits as
0 ≤ r ≤ 2; and 0 ≤ θ ≤ 2π
Then the integral becomes

⇒ 
⇒ 
⇒ 
⇒ 
⇒ ![-108[2\pi - 0]](https://tex.z-dn.net/?f=-108%5B2%5Cpi%20-%200%5D)
⇒ -216π
Therefore, the required value is -216π.
Learn more about green's theorem here:
brainly.com/question/23265902
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Answer:
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Step-by-step explanation:
Please helpppppoo I’m so lost