# Recent content by nate808

1. ### CalculusAB AP test. How do I do this?

First, lets take a look at part a). When you have a composite function f(g(x)), whatever the x value is (or r value in this case), you plug that number in for g(x), whatever value that yields, you then plug into f(x). So for part a, the x values are all increasing from (2,4) on the r interval...
2. ### Please i need help with Base Mathematics

Im not positive but i think halls of ivy meant 7 and not y, as you can see, they are right nnext to each other on the keyboard
3. ### Very Hard Definite Integral

Integration by parts I believe that if you try an integration by parts, with u=ln(x+1) and dv=1+x^2, that should get you stated--i believe will will have to do one more integration by parts and then some long division but i think that will get you to the end
4. ### Arclength in polar coordinates

I am working on a problem regarding arclength-which asks to find the arclength for r=2-2sinx (x=theta) I worked out the integral to the integral of the square root of 8-8sinx but i didnt know how to integrate from there--any help? Thanks -nate808
5. ### Sine 45 degrees

ya--u guys are right--i was using a ti-30 and it was a bit confusing as to the notation but what i ended up doing was (root 50)/10 not sum from 1 to 50---it was late last night--my apologies
6. ### Sine 45 degrees

The sine of 45 degrees is equal to root two over two or approximately.7071. I was playing around on my calculator when i stumbled upon the resemblance that sine45 degrees is either equal to or extremely close to the sum from one to fifty of the (square root of x)/10. Is there anything here or...
7. ### Prime pattern

The number 4 times out of five is a single prime #. It seemed a lot nicer when i posted it and in the first ten i checked 9 of them were single prime numbers. I have since found 3 more where the # is a multiple of 2 primes (2 and 3 in all cases). Thanks for at least looking at it Hurkyl
8. ### Prime pattern

I am curious as to whether this pattern will always hold true: Let's say we take the prime numbers: 2,3,5,7,11,13,17,19,23.......primes and we take the square(individually) minus 1 3,8,24,48,120,168,288,360,528....p^2 - 1 Then starting with the third p^2 - 1 (24), all of the p^2 - 1 can...
9. ### Relative distance

If I am traveling at a good fraction of the speed of light (.9c for example) toward an object, how would the distance between the object and myself from my viewpoint compare to the that of an observers viewpoint

the change in x
11. ### Transition from something to nothing

ya but aren't there different sized infinites, with cardinality and things of that nature? I mean i will concede that it is a stupid question, but for some reason i just imagine that there could be things like cantor dust, or fractional dimensions, but I guess not.
12. ### Transition from something to nothing

This may sound stupid, but it has always confused me. If you take a line and break it into infinitely smaller pieces, you would have miniscule lines while approaching infinity, yet at an "actual" infinity what is left is just points. What bothers me is, what happens inbetween. Is there some...
13. ### Appearing faster than light?

If you have two people moving at opposite directions at nearly the speed of light, 9/10 for example, how would the other person appear to them? Would they seem to be moving faster than light?
14. ### Primes vs. integers

I was having this discussion in my math class today, and my teacher said that it was not something that he couldn't explain in a manner that we would understand. So the question is, are there more positive integers than primes, or no?
15. ### How exactly does 0.999~ = 1?

Quick question, if you had line .999~ cm long vs a line 1 cm long would they be exactly the same or would the .999~ be missing the point at 1