Answer:
a)
Step-by-step explanation:
hello,
because of the end behaviour the constant in should be positive so we have a) or d)
f(0)=-3 in both cases
for A) f(x)=
so f(x)=0 for
so the correct answer is A)
hope this helps
Which ordered pairs are in the solution set of the system of linear inequalities?y2-~xy<%x+1O (5,-2), (3, 1), (-4, 2)O (5, -2
1 answer:
Ok, so:
We have the following system of linear inequalities:
To solve this system, the answer is really simple:
"Solving" systems of linear inequalities means "graphing each individual inequality, and then finding the overlaps of the various solutions". So, we're going to graph each inequality, and then find the overlapping portions of the solution regions.
In this case, we got the graph, so, we're going to analyze it.
We have these two lines:
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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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