Recent content by longbusy

Actually, I do not have examples, that is my purpose here. I am sure fluid/air flow or other physical examples can be modeled according to these polynomial equations.

Oops, sorry, A is a constant. It is not dependent upon x. I could have just left that out.

I've been kicking myself trying to think of a few real world applications of cubic equations (and x^4 quintive?). Can anyone give me a few examples? Thanks, Jeremy

Hello, I am hung up on an integral from Quantum Mechanics. I searched on Yahoo and Google for online integral tables, but failed to discover anything beyond very basic tables. The integral is as follows: \int_{-\infty}^{\infty} \(A*e^{-(x-a)^2} dx Are there any decent online integral...

I have to corellate the Carnot cycle with line integrals. This makes sense to me as line integrals can be used to find the work done by a vector field on an object traveling along a certain path. The Carnot cycle places a limit on the efficiency of an engine cycle. My question, how could I...

Born in Florida, lived all over the South, back in Florida, still learning to (re)count

19 years 133 days + some unassorted seconds...

Thanks! I am working on a lot more of these problems now. Better safe than sorry. I just cannot understand why only Odd answers are given in supplemental answer books. If professors do collect homework, work has to be shown... Just doesn't make sense. :) Thanks again!

Mixing up Spherical with Cylindrical for some reason. So it should remian r^2 + z^2 = 9?

I meant octants, not quadrants. Sorry! That explains the 8. In cyclindrical coordinates, I got the following for x^2 + y^2 + z^2 = 9: So, r goes from 1 to 3 - 3cos(theta) right? Thanks a lot for your help, I know I am being a bit dense.

Well, it's in polar coordinates, not cylindrical... But I assume those are correct. What I calculated: r^2 = 9 - 9cos^2(theta) -or- r = 3 - 3cos(theta) Now, the book claims that the bounds are: 8Int[0, pi/2]Int[1,3]...(dr)(d(theta)) I understand the first bounds (eight quadrants...

I am mainly having trouble figuring out the bounds. I can draw the pictures and see them. I cannot figure out the bounds. That is what is holding me up.

Hurkyl, thanks, I am working through some topics you listed now. I did well in Calc 2 with the substitution. It is just stuff like the following: "Use a double integral in polar coordinates to find the volume of the solid that is described." x^2 + y^2 + z^2 = 9 (inside) x^2 + y^2 = 1...

Actually, the substitution part is what we're working on right now. That is why I asked the question. It's killing me. :) I'll just keep trudging. Thanks!

Well, it is not really hard to convert them. My main problem is thinking in Polar coordinates. Cartesian coordinates are really easy to think about for me (after how many years of experience) but then I get to Calc 3 and I hit a brick wall. Does anyone have some insight on how to get past...