I know that the gamma function (from 0 to infinity):
\int e-t tx-1 dt = \Gamma(x)
and that the relation exists...
\int e-ut tx-1 dt = 1/ux \Gamma(x)
Now for the lower bound incomplete gamma function... I see that from
http://people.math.sfu.ca/~cbm/aands/page_260.htm (equation...
V = \int_0^{2\pi}\int_0^\alpha\int_0^a \rho^2\sin{(\phi)}d\rho\ d\phi\ d\theta =
\frac{2\pi a^3}{3}(1 - cos{(\alpha)})
Reason why I ask was I am just evaluating your limits...
I see for outermost integral, limits are from 0 to 2 \pi\ . makes since, because were rotating around 360 degrees...
Thanks for the help guys.
Actually, my math background goes to ODE - so it makes since, I just assumed a simpler method existed. I am going to look in my multivariable calculus text to revitalize my head for this approach...
Sorry. What I am trying to find is the volume of a segment of a sphere. I can find the area in 2-D space but cannot figure out a formula for volume for 3-D space.
Homework Statement
Trying to either derive or find a formula for the volume given by the space carved out from
the area between an arc and the center of a circle. Essentially, the area between an arc and the center of a circle rotated 360 degrees, almost a cone shape with the upper boundary...
Apply to a grad school (not physics, but atmospheric science or GIS) and my GPA as of now is 3.22. Took the General GRE and got a 620 math, 460 verbal :-/...
Talk to my prof he thinks I should be able to. My GPA should Inc. due to less gen ed classes I have to take. But I don't know if I should...
Im graduating this spring and I am going to apply to some graduate schools and have to take the GRE's. So.. When is a good time to take them and how much in advance should you prepare for them, like a good rule of thumb?
I was planning early september... Too soon/late?
Also, anyone know a site...
take pre-calc instead of calc. IT seems to be the obvious choice, if your not prepared for calc, then you make sense to drop down a level. IF not prepared for that go down to college algebra.
Got the eqn dy/dx=x(1-y) and it can be solved both linear and separable methods.(Linear method being using a integrating factor) Problem I am having is that with this two methods i get two different (yet similar answers) and was wondering if you can see my problem with this two methods I am...
fluid with 5mg/cm^3 of drug enters bloodsteam at 100cm^3/hr, drug is absorbed by body tissue or otherwise leaves the bloodstream at a rate proportional to the amount present with a rate constant of .4(hr)^-1.
so assuming the drug is always uniformly distrbuted throughout the bloodstream, the...
just started ordinary differential equation class, and i have to find the general soln of the eqn: y'=y(3-y)... just started so i only know of the method of separation of varibles.
Thought of multiplying the y through so it becomes:
y'=3y-y^2 then do..
dy/dx=3y-y^2 then... I am stuck...
its -2y^2-e^(-3z)*sin(5x-.75t)5 I THINK, butttt... i have a voyage 200 near me and when i check it, its giving me a error and I don't trust myself enough to think its right...
Ok i got this problem...
T(x,y,z,t)= -2xy^2+e^(-3z)cos(5x-.75t)
taking the partial derivative with respect to x first, so i break the problem apart with the left and right sign of the addition side
so i get...
-2y^2 for the left side and then am stubling on the right side, I am think just...
Is there a site with a list of Canada based graduate schools, I want to pursue graduate school not in the US but Canada. Also my GPA is around 3.1 but it is just the start of my junior year and I plan to improve on that to around 3.3 at least, so I hope its still possible for me to go since my...
:devil:
I have 3 unit conversions and they are not coming out right... what am I doing wrong if you can spot it:
1)1.64ly/min to SI Units:
1ly/min=697.5W/m^2
1144.6W/m^2 but how do you get it with just the oringinal SI units...
2)2.3E27carats/parsec^3 to SI:
2.3E27carats/parsec^3 *...
i have to convert radiation flux density measured from the sun that's 1.64 langleys/min. Easy no?
Well, I can't find what the SI unit for radiation flux density is, and its not on google.
Anyone know just what the units is [NOT the conversion]
I got a cube withe edge length 1.4m and has a uniform electric field, i have to find the electric flux throught the right face for the following fields.
A) 2.00i
B)-3.00j
answer for a) is 0, i think because its uniform and all the inward and outward contribuitions cancel but then why...
heres is one problem i did, i photo'd it so i wouldn't have to worry about it...
Am I doing it right? any problems can you see :-/ on like the 8th/9th line, I don't think I can do what I did...
http://img130.imageshack.us/img130/1332/test076ze.jpg [Broken]
Sooo
At my high school I had a bad case of "senioritis" and failed to do any work in my math classes (pre-calc) thinking that I would be fine... I was wrong, after getting to my university I took pre-calc again and did pretty badly and got a D-, though a lot of my classmates in the same major...
Sorry I ment to say in the book the radius of convergence is infinity, how is that possible seeing the result of the ratio test gives you L and it has to be less then 1? how to you get that radius of infinity?
I have the Maclaurin series for cos (x), is their a way to find its radius of convergence from that?
ALSO
Is there a trick to find the shorter version of the power series for the Maclaurin series, I can never seem to find it so instead of the long series with each term but like E summation (the...
iiiiiiiiiii...
my book doesn't say absolute value... so idk. I see what you mean if that's true. Why doesn't my book say that it says just that its decreasing or equal too...
I don't quite understand, the alternating series only works when An+1< or = to An, and in that series it doesnt, because An is negative and An+1 is postivie?
Could you elaborate and how I would relate it to the series at 1/3?
Have to find the radius of convergence and interval of convergence,
the series is (3^n x^n ) / (n+1)^2,
did the ratio test and found the radius of convergence to be the 1/3.
now for finding the interval of convergence I plug in -1/3 and 1/3 into x and find out if it converges or not
For...
it is:
E=|I-Sn|>= (k4 (b-a)^2 )/ (180 n^4)
I know what all of the parameters mean except I, what is it again? It can't be the integral as that's why were using simpsons rule so is it a guess or?:blushing:
help determining where the series here is abs. convergent.
its Sin(2n)/n^2, i thought about the ratio test but it gets nasty, is there a easier way?
nm, i think it is convergence if I use the comparison test? Sound right?
what about (-3)^n/n!, i used the ratio test, and got 0, which means it...
Need help clairfying some stuff.
How do you determine if a Sequence is not monotonic? Also if its just inc. or dec. its monotonic?
For example.
Seq=An= 1/(2n+3)
First 4 terms are {1/5,1/7,1/9,1/11,...}
So its decreasing...and I guess monotonic?
And how would you determine if that sequences...
Roller coaster Vel. Initial=10m/s, Height initial=100m, and the mass of the coaster is 1000kg all at the starting point (*).
Have to find the speed of coaster at point A, point A's height is the same as the starting points, b is 1/2 of a's height, c's height is zero.
Coaster kinda looks like...