Recent content by jason17349

1. Totally ordered partition of a set

If I have a totally ordered set and then create a noncrossing partition of that set it seems intuitively obvious that each block of the partition would be totally ordered as well. Can I assume this inheritance or do I need to prove each block is totally ordered? How would one go about proving...
2. General Relationship Between Area & Perimeter

This is kind of a vague question but does anybody know if there is a more general relationship between the area and perimeter of plane figures. For example circles, squares, rectangles triangles any regular polygon really, the area can be written in terms of the perimeter. Is there anything...
3. Series Name?

Kaisxuans - I had no plan to jump into the dificult Zeta Function but it's one of the few things related to my problem that I can search for. Other than that I don't know what to look for. Dodo - Thanks for the link. This first part about wether Zeta(3) is a rational multiple of pi^3 is...
4. Series Name?

I'm interested in the problem: \sum_{n=1}^{ \infty} \frac{1}{n^3} and would like to know more about what attempts have been made at it and any insights into it but I am unable to find much because I don't know the name of this series or if it even has one. I have learned what little...
5. What is wrong with my logic?

Whoops, sorry :blushing:
6. What is wrong with my logic?

I thought if ab=0 then you could have two solutions a = 0 and b = 0?
7. What is wrong with my logic?

if e^{\pi\imath}=-1 then: -e^{\pi\imath}=1 and, e^{2\pi\imath}=1 then: -e^{\pi\imath}=e^{2\pi\imath} \rightarrow e^{2\pi\imath}+e^{\pi\imath}=0 \rightarrow (e^{\pi\imath})^2+e^{\pi\imath}=0 \rightarrow (e^{\pi\imath}+1)e^{\pi\imath}=0 then: e^{\pi\imath}=0 and...
8. Impossible problem? [Varibles ONLY]

Any statics problem should begin with a free body diagram. Once that is done the solution usually comes easily. If you have done one you can post it for comments.
9. Is this possible to integrate?

You are wrong on both counts, the dv is supposed to be dx :biggrin:
10. Is this possible to integrate?

Please help me integrate the following: \int_0^x \frac{1}{\sqrt{(A+Bx^2+Cx^3+Dx^4)}} \,dx I have no idea where to start or if this is even possible.
11. Is this possible to integrate?

Sorry, I should have said x and r are real non-negative constants..
12. Is this possible to integrate?

Does anybody have any suggestions on how to go about integrating this.... ? Or maybe explain why mathcad isn't able to integrate this..
13. Is this possible to integrate?

I haven't had any luck with mathcad and was wondering if this was possible to integrate... \int_{0}^{2\pi} \frac {x+r*cos(\theta)}{(x^2+2r*x*cos(\theta)+r^2)^\frac {3}{2}} d\theta
14. Second Order Nonhomogeneous

Okay guys I got it, thanks for your help. And yes k_{3} = 8
15. Second Order Nonhomogeneous

The following equation was derived from a RLC circuit: \frac{d^2}{dt^2} (V(t)) + 6 \frac{d}{dt} (V(t)) + 5V(t) = 40 Setting up the equation: s^2 +6s + 5 = 0 yields s = -1 and s = -5 Giving me the general equation: V(t) = k_{1}e^{-t} + k_{2}e^{-5t} But the general equation...