Recent content by man0005

Homework Statement For the set S = (-1)^n * (3 + 5/n) I have determined that the maximum is 3 + 5/2 and the minimum is -8. However I am not sure if it is closed; given that it has a maximum and minimum, does this mean by definition that the set will be closed? Homework Equations...

Homework Statement v = 1.5 h = 300mm Mass = 5 kg Homework Equations The Attempt at a Solution Using the potential and kinetic equation formulae: PE = mgh KE = 0.5mv^2 Total Energy = PE + KE Ended up with 20.33 J Sound alright?

Ah cool Just to confirm the method: 1) Show that related function is positive 2) Show that it is also decreasing via negative gradient 3) Get a definite integral from 2 to infinity or 2 to N Should end up with limit of 2(ln(N))^0.5 - 2(ln(2))^0.5 with N ---> Infinity Second is a...

hmm just tried this question from my texbook: Series of 3 / (3n*(ln (n))^0.5) where n = 2 Used the integral test and found that it diverges, but answer at the back of the book says it converges. Is the answer wrong? Fairly sure I haven't made any mistakes...but I can post up my working if...

hmmm not sure how to do that :S Any hints? Or is there an easier test that I should be doing... Edit: Just tried it and got 1/e Working out = lim (n→∞) [ n / ( n + 1 ) ]ⁿ = lim (n→∞) { 1/ [ ( n + 1 ) / n ] }ⁿ = lim (n→∞) { 1 / [ 1 + (1/n) ] }ⁿ = 1 / { lim (n→∞) [ 1 + (1/n) ]ⁿ } = 1 / e...

oh yeah but wouldn't that make it 5 / (n + 1) * n^n / (n + 1)^n So would my step 4 still be valid?

What about this one: (5 / n)^n Would this be a valid method of testing? 1) Ratio test to end up with (5n^n) / (n+1)^(n+1) 2) Take out 5 / (n + 1) as a factor 3) Left with 5 / (n + 1) * 1 / (n + 1)^n 4) Since the limit of 5 / (n + 1) = 0 Using limit laws, the whole thing must...

Homework Statement For the production of chlorobenzene reaction: 1) C6H6 (l) + Cl2(g) → C6H5Cl (l) + HCl (g) 2) C6H5Cl (l) + Cl2(g) → C6H4Cl2(l)+ HCl (g) 3) C6H4Cl2 (l)+ Cl2 (g) → C6H3Cl3(l) + HCl (g) Is any of the C6H4Cl2 produced in reaction 2 used up in reaction 3? Homework...

ah i see, that clears it up thanks again!

ah thanks heaps! just one more thing what exactly is the meaning of the "n" value? Would my answer be different for n =2 or n = 0?

Would it be the comparison test?

sorry for not clarifying the series where n = 1

Homework Statement For (9 + cos (n))/ n^2 Homework Equations The Attempt at a Solution would this be correct? since -1 < cos x < 1 then 8/n^2 < (9 + cos (n))/ n^2 < 10/n^2? So use p-series from there? Therefore it converges Am I right?

with the co precipitation since I am finding the amount of sulfur in a samle of fertiliser Since the sample is non homogenous, you could get samples from the bottom, top and middle of the fertiliser and test them? Then average them out? Could you please help me elaborate on that/explain it a...

Homework Statement -precipitate not being pure e.g. other ions (present in the precipitate increasing the weight of the precipitate) - in an experiment where BaSO4 is used and some of it isn't dissolved in the wash due to the 'low solubility' of BaSO4 - resulting in a lower weight...