A circle has a radius of 6. An arc in this circle has a central angle of 330
2 answers:
Answer:
Step-by-step explanation:
<h3> The complete exercise is: " A circle has a radius of 6. An arc in this circle has a central angle of 330 degrees. What is the arc length?"</h3><h3></h3>To solve this exercise you need to use the following formula to find the Arc lenght:
Where "C" is the central angle of the arc (in degrees) and "r" is the radius.
In this case, after analize the information given in the exercise, you can identify that the radius and the central angle in degrees, are:
Therefore, knowing these values, you can substitute them into the formula:
And finally,you must evaluate in order to find the Arc lenght.
You get that this is:
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It is hard to comprehend your question. As far as I understand:
f(x,y) = e^(-x)
Find the volume over region R = {(x,y): 0<=x<=ln(6), -6<=y <= 6}.
That is all I understood. It would be easier to understand with a picture or some kind of visual aid.
Anyways, to find the volume between the surface and your rectangular region R, we must evaluate a double integral of f on the region R.
Now evaluate,
which evaluates to, 5/6 if I did the math correct. Correct me if I am wrong.
Now integrate this w.r.t. y:
So,