# Recent content by Bonaparte

1. ### Communicating Vessels- how? (searched forum, didn't find it before)

Hello and thanks for the response, seems I can't edit the post. The question is in the title, I don't know any equations other than the one given, you'll have to forgive it being in the wrong place. My proposal does not include a question, it's a proposal that is phrased as one. Cheers.
2. ### Communicating Vessels- how? (searched forum, didn't find it before)

Homework Statement I don't know much about physics, I'm using- F=m*a Homework Equations So say we got our 2 containers with a straight passage between them (they're cylinders for the sake of the question), and the right one has double the radius. So I'm assuming there are 2 forces...
3. ### Does an object make tons of micro movements while moving?

Thanks for the great answers, just a few more questions: Shouldn't gravity cause the pressure on top to be greater? I mean particles being pulled into the object. Secondly, I believe I'm misunderstanding something and would love clarification: Say I hit a billiard ball with a stick, it starts...
4. ### Does an object make tons of micro movements while moving?

Homework Statement This isn't homework, just pursuing some physics on my own and curious. Homework Equations So I've got 2 questions which have been sorta bothering me. 1-When I throw something into the air, does it stop for a tiny time at each molecule it meets (Newtons third law)...
5. ### Integration of composite derivative of function

Why is it not possible to deriviate 2cx and relate to c as if it is a constant? So you have y=2cx^2 y'=(2cx), g'=-1/(2xc), so g= ln((2xc)/-2c'+C, wouldn't this be the answer? Thanks, you are all great :) Bonaparte
6. ### Newtons Square root method

So were trying to prove the second one smaller then first (I think), that is: |sqrt(a)-e|<|a/e-e| sqrt(a)-e<a/e-e (since both are positive, as using the given inequality subtract e from both sides) so sqrt(a)<a/e e*sqrt(a)<a, but e is not necessarily smaller then sqrt a, what am I missing...

8. ### Newtons Square root method

Sorry, i had a typo, its a +, not a -,| e< sqrt(a)+e|
9. ### Newtons Square root method

Homework Statement Let e be the number close to sqrt(a) by Newtons Method (That is picking a number, diving a by it, and taking their average, divide a by average, get a number, find their average, so on). Using |e<sqrt(a)+e| prove that if |a/e-e|<1/10 then |sqrt(a)-e|<1/10 Note that e is...
10. ### Sequences and series problem

Its a lot of messing around with, but I'll give you the basic idea, note that when you expand, the integers turn out to be sum of squares, that is (n-1)(n)(2n-1)/6. The rn turn out to be (n-1)rn. You just do this to the different terms to get the final thing, which then you might be able to...
11. ### X^2+x + lnx

But how would you find it?
12. ### X^2+x + lnx

Homework Statement So I have happily exploring function when I got to the equation 0 = 1/2(e^(2x))-(e+1)(e^x) +ex. Homework Equations Well, I guess the quadratic formula can help, although I can't seem to get to a situation where I can use it. The Attempt at a Solution I played...
13. ### Integration of composite derivative of function

Could you explain how you got from 2cx/x^2 = 2/x? and then when you had y'/y=2/x, and multiplied both sides by y, how did you get 2/xy? should it not be 2y/x? I actually thought you would have 2cx*g'x = -1, g'x=-1/2cx gx = (-1/(2c))*ln(x)+C? Thanks, Bonaparte
14. ### Integration of composite derivative of function

Homework Statement While I was in school I thought to see what a function whose derivative is always perpendicular to another functions derivative would look like, so for example for X^2 we have -ln(x)/2. Homework Equations Well all those integration tables I guess The Attempt at a...
15. ### Arithmetic Sequence

I'll give you an even bigger hint than Symbol and ehild gave: a(n) = a1 + (n-1)d substitute 11.... 53 = a1+10d you can do the rest ;) Thanks and good luck, Bonaparte