A function is defined by the points {(0,2), (2,3), (5,9), (7,2)}. Which ordered pair can we add to the set to keep it a function
1 answer:
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Answer:
Diverges
Step-by-step explanation:
We can solve this by using integral by parts:
Let
We can add
to both sides
We can evaluate the limit between 2 and infinity.
If x tends to infinity the limit will be infinity and therefore the integral diverges to ∞
ANSWER
T(-2,1)
EXPLANATION
Let T(a,b) be the coordinates.
When this point is rotated 90° counterclockwise about the origin,
Then,
If this point is then translated using the rule;
then,
It was given that, T"(-2,5)
This implies that,
-b-1=-2
-b=-2+1
-b=-1
b=1
a+7=5
a=5-7
a=-2
Therefore the coordinates of T are:
(-2,1)