Thank you.
In case anyone else finds this in the future, that notation is mathematically equivalent to this formula:
If it is written as the example provided with (with 6 on top of 2), it is 6!/(2!(6-2)!) or 6!/(2!*4!).
Homework Statement
Erica goes swimming three out of the seven days of the week. How many possibilities are there for her swim schedule if she goes swimming on Monday or Tuesday or both? (Define M to be the set of schedules in which Erica goes swimming on Monday. Let T be the set of schedules in...
Let me start by saying that this is from a 30 question assessment on Big Oh, Big Theta, and Big Omega. I understood every other question, however, even after being given the correct answer, I do not understand why my answer was wrong for this one. If you could point me in the direction of any...
I don't know ##h## or ##r## (except in the formulaic terms mentioned above), I am looking for ##\theta##, and all I am given is ##R## (the radius of the circle from which the sector is cut).
Ray wrote: "Anyway, if you cut out a sector of angle θ from a circle of radius R, then fold it up into a cone, what is the radius of the base of the cone (call it r)?"
The radius of the base of the cone would definitely be ##r##2 = ##R##2 - ##h##2. To make this relate to the angle of...
Sorry, I wrote the correct term further down in my post ##r##(2π - ##\theta##).
So, if that's correct, I should be working with: ⅓(2π##r## - ##\theta## ##r##)2π√(##R##2 - ##r##2)
Homework Statement
A sector with central angle θ is cut from a circle of radius R = 6 inches, and the edges of the sector are brought together to form a cone. Find the magnitude of θ such that the volume of the cone is a maximum.
Homework Equations
Volume of a Cone = ⅓ * π * r2 * h
Area of a...
Homework Statement
Two point charges are placed on the x axis. The first charge, q1 = 8.00 nC , is placed a distance 16.0 m from the origin along the positive x axis; the second charge, q2 = 6.00 nC , is placed a distance 9.00 m from the origin along the negative x axis.
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