It is impossible to draw a parallelogram with 4 parallel lines (or to draw any quadrilateral with 4 parallel lines, for that matter).
Multiple values of y for a single value of x is a sure giveaway that this is NOT a function. Please review definitions of "function." A function would be represented if no x value has more than one y value associated with it.
Question 20 is 2/11 i believe
Step-by-step explanation:
a(n) = a +(n-1)d
a=-5
d=5
a(n) = -5 +(n-1)5
=-5+5n-5
=5n-10
a(50) = -5 +(50-1)5
= 240
hope this helps
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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