Simplify 5 square root of 11 end root minus 12 square root of 11 end root minus 2 square root of 11. negative 33 square root of
1 answer:
As long as your indexes are the same (which they are; they are all square roots) and you radicands are the same (which they are; they are all 11), then you can add or subtract. The rules for adding and subtracting radicals are more picky than multiplying or dividing. Just like adding fractions or combining like terms. Since all the square roots are the same we only have to worry about the numbers outside. In fact, it may help to factor out the sqrt 11: 
. The numbers subtract to give you -9. Therefore, the simplification is 
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Assuming you want the cosine series expansion over an arbitrary symmetric interval ![[-L,L]](https://tex.z-dn.net/?f=%5B-L%2CL%5D)
, 
, the cosine series is given by
You have
Two successive rounds of integration by parts (I leave the details to you) gives an antiderivative of
and so
So the cosine series for
periodic over an interval is
You have
Two successive rounds of integration by parts (I leave the details to you) gives an antiderivative of
and so
So the cosine series for
Answer:
Option: C is the correct answer.
C. 3 units down.
Step-by-step explanation:
We know that the graph of a cosecant function has a minimum value for a upward open curve as : 1
It could be seen from the graph.
But here the minimum value of the upward open curve in the transformed function is: -2
This means that the vertical shift is given by:
-2-1=-3
This means that there is a vertical shift of 3 units down in the parent function.
