Recent content by billy2908

Homework Statement C3H5(NO3)3 --> N2 + CO2 + H2O + O2 Homework Equations non O and H oxi states as follows C: -2/3 to +4 N: +5 to 0 The Attempt at a Solution Oxi: C3H5(NO3)3 --> CO2 +6e- added 6 electrons to balance net carbon oxi state Red: C3H5(NO3)3 +15e- --> N2 added 15...

It's not that simple. I tried fracturing it many times but every time it just seem to leave to the same result.

Let F_n and F_n+1 be successive Fibonnaci numbers. Then |(F_n+1)/(F_n) - Phi | < 1/(2(F_n)^2) Where Phi is the Golden ratio.

Thanks I got it. But I did it a bit differently so proof as follows: Let n!=(2k)! Let's name the set N={1,2,3,...,k,...p,...,2k} basically all the factors of n! p is a prime between k and 2k which is true by Chebyshev (we're not ask to show this thank god) -First we show that p does not...

Let n>2. Where n is integer show that sqrt(n!) is irrational. I am supposed to use the Chebyshev theorem that for n>2. There is a prime p such that n<p<2n. So far I am up to inductive hypothesis. Assume it holds for k then show it holds for k+1. Well if k! is irrational==> k!=...

Homework Statement So here's the problem. There is an elevator w/ 5 people equally likely to get off at any of the 7 floor. What is the probability that no two passengers will get off the same floor. Homework Equations The probability of event should be P(E)= number of event...

I think I got the proof, but want to make sure it's correct. let z=(x^(2/3)+(xy)^(1/3)+y^(2/3)) then z>3 since x and y are in (1,inf) => 1/z <1/3 It actually works on (-inf, -1) as wellso again |x^1/3 - y^1/3| = |x-y|/z < d/3 So we can pick d=3*e. Also since we know x^1/3 is cont. on [-1,1]...

minimum value should be x=1, y=1 in (1,inf) so (x^(2/3)+(xy)^(1/3)+y^(2/3))= 3. But I don't know what you are trying to lead me to...

Sorry, can't use the def. of derivative yet at this point. Also even if I can, and the derivative is bounded on (1,inf) is unbounded as x-> 0 since it looks like a vertical line.

that's exactly how I wanted to prove it. By showing it is uniformly cont. on (-inf, -1) U (1, inf) and given it is uniformly cont. on [-1,1] since it's compact. But even when I choose x,y say from (1,inf) I still get left off with d=e*(x^2/3 +(xy)^1/3 +y^2/3) Which doesn't help to show...

I recommend downloading a grapher on your computer. The online time I ever used a graphing calculator was at home anyways. It's much cheaper too and you can even find some on a smartphone.

Homework Statement Let f(x)=x^{1/3} show that it is uniform continuous on the Real metric space. Homework Equations By def. of uniform continuity \forall\epsilon>0 \exists\delta>0 s.t for \forall x,y\in\Re where |x-y|<\delta implies |f(x)-f(y)|< \epsilon The Attempt at a Solution...