Recent content by lokisapocalypse

Never mind. Amazing how after looking at this problem for 4 hours, I post it here and 20 minutes later I see my mistake.

The question reads: A farmer purchased 100 head of livestock for a total cost of $4000. Prices were as follow: calves, $120 each; lambs, $50 each; piglets, $25 each. If the farmer obtained at least one animal of each type, how many of each did he buy? I obtained that -240 < t < -15.789 but...

Okay got it. Thanks for all your help.

Okay I guess I am just stupid then. Where exactly do you type \sqrt{2 a_n} ? I thought it was to surround it by CODE tags but that didn't do it and I tried typing it just by itself, with and without the \. What do I do then?

Oh nevermind about the limit part. It was proved in the book with the Monotone Convergence Theorem. I just didn't see it right away.

Thanks I got it from that. But can someone tell me how to do the root thing? Is the code LaTeX code or what is it? Also, how can I prove the limit of that sequence = 2? Is there some theorem that says that the limit of an increasing bounded sequence is equal to the sup of that sequence?

Hey guys, I have a sequence, \sqrt{2}, \sqrt{2 \sqrt{2}}, \sqrt{2 \sqrt{2 \sqrt{2}}}, ... Basically, the sequence is defined as x1 = root 2 x(n+1) = root (2 * xn). I need to show that this sequence converges and find the limit. I proved by induction that this sequence increases...

And if all else fails for closure, you could list all the combinations of the elements and show that they each give you something back in Un. Although that would be the REALLY long way to go.

It's amazing how simple a problem can be the 4th time around. If I had a dollar for every simple error like that I've made...

I have an inequality: 1296(b^3) - 324(b^2) - 1008b + 108 > 0. I want to know for what values of b this inequality is true. Any suggestions?

I apologize for the multiple post...I was in a panic. Won't happen again.

According to Maple, that gives -.30e-7.

I need to show that this is an algebraic number. In other words, I need to show: an*x^n + an1*x^(n-1) + ... + a1 * x^1 + a0 * x^0 = where the a terms are not ALL 0 but some of them can be. Like for root 2 by itself, I have 1 * (root 2) ^ 2 + 0 * (root 2)^1 + -2 * (root 2) ^ 0...

I need to show that this is an algebraic number. In other words, I need to show: an*x^n + an1*x^(n-1) + ... + a1 * x^1 + a0 * x^0 = where the a terms are not ALL 0 but some of them can be. Like for root 2 by itself, I have 1 * (root 2) ^ 2 + 0 * (root 2)^1 + -2 * (root 2) ^ 0...

I need to show that this is an algebraic number. In other words, I need to show: an*x^n + an1*x^(n-1) + ... + a1 * x^1 + a0 * x^0 = where the a terms are not ALL 0 but some of them can be. Like for root 2 by itself, I have 1 * (root 2) ^ 2 + 0 * (root 2)^1 + -2 * (root 2) ^ 0