The vertices of triangle JKL are J(–2, 3), K(1, 6), and L(3, –2). Which type of triangle best describes triangle JKL
1 answer:
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Answer:
The inverse of f(x) is
Step-by-step explanation:
To find the inverse of the function , perform the following steps:
1) do
2) Solve the equation for the variable x.
3) exchange the variable x with the variable y
---->
4) Change the variable y by
Finally the inverse function is:
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
⇒
⇒
⇒
⇒
⇒
⇒ -216π
Therefore, the required value is -216π.
Learn more about green's theorem here:
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