Answer:
0.2
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
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:
Part A:
x + y = 80
x + 20 = y
Part B:
Pam spends 30 minutes practicing math every day.
Part C:
It is not possible for Pam to have spent 60 minutes practicing dance because this means she must have practiced math for 40 minutes (60 - 20 = 40). This would total out to 100 minutes of total practice, not 80 minutes. Therefore, this is impossible.
Step-by-step explanation:
Part A:
"She spends 80 minutes every day practicing dance and math."
x + y = 80
"She dances for 20 minutes longer than she works on math."
x + 20 = y
Part B:
Solve for x:
x + 20 = y
Isolate variable x:
x = y - 20
Plug in this new value for the first equation:
y - 20 + y = 80
Combine like terms:
2y - 20 = 80
Isolate variable y:
2y = 100
y = 50
Plug in the new value of y into any equation:
x + 50 = 80
Isolate variable x:
x = 30
Part C:
x + 20 = y
x + 20 = 60
x = 40
x + y = 80
40 + 60 = 80
100 = 80
Impossible.
There are 4 eggs per hen
What you have to do is
24 hens/ 96 eggs