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
#SPJ4
So what you basicaly need to find in this problem is to find out how much is 12% of 400mL. To find that you can multiply 400 and 0.12 :
400mL × 0.12= 48mL
You can also divide 400 by 100 to find how much 1% of 400 is:
400mL ÷ 100 = 4mL
1% of 400mL is 4mL
as we want to find how much 12% of 400mL is we can just multiply 4mL(1% of 400) by 12
4mL × 12 = 48mL
=///=//=//=//=//=//=///=//=//=//=//=//=//=//=//=//=///=
The correct answer is (A.)hope this helps :)
Answer:
1. 6+2<9+3
2. -2>-10 and -8>-10
Step-by-step explanation:
six plus two is less than nine plus three =
6+2<9+3
s>-10
-2>-10 correct
-8>-10 correct
-18>-10 incorrect
-108>-10 incorrect
-180>-10 incorrect
Ummmmmmm.. wait ima come back to it let me work it it
