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<0> heh <1> yeah, all the way <2> except they get all complicated with f(2x^2+3x+2)=(equation I posted above) <1> man the first day of calculus I i got the epsilon-delta definition of a limit shoved down my throat, i was flabbergasted <1> i didn't understand it until like a year later <2> what's the definition? <0> eh <0> you'll live <1> http://mathworld.wolfram.com/Epsilon-DeltaDefinition.html <1> oh yeah, i lived to see 5 more years so far ha <2> cyby: this part I will, we get two days of review (learned it today, quiz on thursday), and then it's on to the harder stuff <0> well <0> you got here <1> the "harder stuff" is actually mostly easy in calc I <2> holy **** Kampen <1> the new stuff
<1> that's more complex than the one they'd give you in calc I <2> this is actually calculus for business and economics <1> the words they use at least <2> 2e <1> well then yeah it'll likely be heavily numerical <1> i mean on the economics side you do have a lot of theory you can cover, but i guess it depends on who you're taking it with <0> eh <0> it'll be easy <0> just have confidence <1> yeah dude, like the stuff they say is hard will be like "find the derivative of 2*x^3" and there's something called the power rule, where c*x^a and c,a are real that says that the derivative of anything of that form is a*c*x^(a-1) <1> so like 2*x^3 would be 3*2*x^(3 - 1) = 6*x^2 <1> calc 2 is kind of weird at first, it's sort of when you first get into 3D, or at least it was for me <1> like the volumes of solids of revolution stuff threw me off a bit at first <1> it's really a good idea to try and build a good geometric understanding of calculus <1> the formulae become intuitive instead of just crap you have to remember <1> since i doubt you'll be required to prove any of it, especially on the business/economics track <3> uh oh <3> not again <1> something that has really nice applications to business and economics exists called "doubly stochastic measures" which is a branch of measure theory that is mostly applied to probability, which you'll likely use if you go far on that trail. <4> But true mathematical knowledge is only demonstrated through proofs! <1> yes <1> but in the business/economics calc sequence, they're not really concerned with true mathematical knowledge, more with method. <1> but stuff like doubly stochastic measures, i mean, you at least have to have a good understanding of the idea of measures and a good background in set theory to understand it <1> since you use like sigma-algebrae etc. in it <2> when doing interval notation, ( is exclusive and [ is inclusive right? <1> yes <1> (3, 9] = {4, 5, 6, 7, 8, 9} <0> uh <1> excluding the real numbers between the integers <1> =p <0> heh <1> a better way of saying it is to say that if some variable x is in the interval (3, 9], it is such that 3 < x <= 9 <1> so x can take on any value greater than 3 and as large as 9, no matter how little larger it is than 3, like 3.00000000000000000000000000000000000000000000000000000000000000000000000000001 would be in there <2> well, goodnight guys <4> Good night. <1> night <1> good luck with calc <2> thanks <2> err, whoops <2> anyway, idleish time <5> hi <6> hello <5> como estas! (my keyboard is not set up right for the proper accents) <4> Hi. <5> I have a lighthearted question <5> concerning thermodynamics <5> if anyone is interested <4> sure <5> I have one of them mini fridges, but it is old and does not seem to keep a low temp anymore <5> but I think it is cooler than room temp, but not by much <5> If I go get a very cold beer upstairs and put it in this mini fridge that already has a couple beers in it <5> will the couple beers get a little bit cooler? <5> i know too many variables, but this thing is one of those things you see in those rags that has its own inverter so you can plug it into a cigaretter lighter <5> about the size of a small cooler, since volume probably matters <5> ok, so y'all ran away fast <5> don't like drinking beer? <5> or am I'm turning into a damn scientist and wanting a high caliper gauge that just so happens to measure temperature <4> Well, I don't agree with drinking beer. <4> But I also don't think I know enough thermodynamics to be able to help. <5> Dacicus, sorry, how about an alternative cold beverage of your choice?
<4> The knowledge thing is more of an impediment than the identity of the beverage. <5> indeed, and agreed, many variables involved and I don't really know how to begin other than finding a mathematician <7> i need a bit of help for noobing out first day back at school <7> x^(3/2) * (x + x^(5/2) - x^2) <4> noobing out? <7> how would you simplify that <4> oh <5> simplify to what? <4> Well, I suppose it depends on what simplify means in this case, but I would factor out the x. <7> simplify like <7> you would simply (x-4)/(x^2 - 3x - 4) <8> i would distribute, how would you factor out the x? <8> well, i guess you could factor out 1x <5> I would simplify to be more specific on order of operations <8> hmm? <5> but what would that be? <7> actually <7> I furthered myself <8> i dont get what you would do other than distributing, and possibly factoring that. <5> no you didnt <7> i now have x^(5/2) + x^(8/2) - x^(7/2) <5> you changed your name to navy <7> how would you compile that per se <5> you should have been a marine, but thats your problem <7> x^(n1/b) + x^(n2/b) = ? <7> fuk it <8> navy: you can factor out x^2 I think... but thats not the correct expansion in the first place <8> or wait <8> it is, my bad <7> i guess thats as far as i can factor out <5> them beginning nuclear cl***es are a bit overwhelming for new navy candidates <7> true dat <7> %mbot 1^(5/2) <7> % 1^(5/2) <5> work it out, hang in there and don't talk, write, speak like an idiot <9> navy: 1 <8> dsb must be the new troll in town <5> indeed <7> ok in the end x^(3/2)*(x + x^(5/2) - x^2) = x <7> ...i hope..let me check <5> I loathe myspace speek <7> % 3^(3/2)*(3 + 3^(5/2) - 3^2) <9> navy: 3*Sqrt[3]*(-6 + 9*Sqrt[3]) <7> k that doesn't help me at all <10> What exactly are you finding ? <8> indeed <8> :) <8> we just found out it was an equation! :P <7> it's not an equation <7> im just simplifying <7> you guys are just overanalyzing :( <7> <7> simplify like <7> you would simply (x-4)/(x^2 - 3x - 4) <8> navy: i dont see how x^(5/2) + x^(8/2) - x^(7/2) could simplify to just be x <7> it couldn't <7> i was wrong <7> i tried to pull out an x <7> i guess thats as simple as it gets <10> % x^(3/2) * (x + x^(5/2) - x^2) //FullSimplify <9> Olathe: x^(5/2)*(1 - x + x^(3/2)) <10> % x^(3/2) * (x + x^(5/2) - x^2) //Expand <9> Olathe: x^(5/2) - x^(7/2) + x^4 <8> I would have just taken out an x^2, but I guess thats better <8> although... distributing and then factoring seems a little silly :) And frankly, it's not much "simpler" :) <7> true <7> but you know what i mean <7> at least i know what the teaacher means <7> except maybe i don't <7> because Sqrt[x]/x looks pretty simple to me <7> well 1/sqrt[x] i guess <7> but then there's a radical in the denominator <8> x^(-1/2) would be simpler <8> and the two things you said aren't equivalent <5> depends <8> no it doesnt depend
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