Recent content by ipitydatfu

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    Multinomial coefficient help please

    so ok, i understood the algebraic portion. ie for the fraction of (I-1)! 1/ (I-1)! = I/I! and so on for j, and k using the LHS, I+J+K = n+1 once the denominators are the same, in the numerator of the RHS you get: n!(n+1), which is the same as the (n+1)! on the LHS combinatorially...
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    Multinomial coefficient help please

    multinomial Theorem help please 1. Prove this statement algebraically and by combinatorial argument \left(\stackrel{n+1}{i,j,k}\right) = \left(\stackrel{n}{i-1,j,k}\right)+\left(\stackrel{n}{i,j-1,k}\right)+\left(\stackrel{n}{i,j,k-1}\right) attempt i tried expanding each side to see...
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    Proving the Evenness of (\stackrel{2n}{n}) Using the Binomial Theorem

    Homework Statement prove that (\stackrel{2n}{n}) is even when n \geq1 Homework Equations as a hint they gave me this identity: \stackrel{n}{k}= (n/k)(\stackrel{n-1}{k-1}) The Attempt at a Solution by using that identity i got: (\stackrel{2n}{n}) = (2n/n)...
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    Prove Sum of 5s and 7s for n > 23

    lol yeah. i kinda figured it out similar to that way after taking a long nap. thanks for the response though!
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    Prove Sum of 5s and 7s for n > 23

    Question Details: show that any number greater than 23 can be written as a sum of 5's and/or 7's attempt: 24: 7 7 5 5 25: 5 5 5 5 5 26: 7 7 7 5 27: 7 5 5 5 5 28: 7 7 7 7 29: 7 7 5 5 5 30: 5 5 5 5 5 5 31: 7 7 7 5 5 32: 7 5 5 5 5 5 33: 7 7 7 7 5 34: 7 7 5 5 5 5 from this, i see...
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    Help solving this thermo problem.

    yeah man, I am at a complete halt. please help
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    Help solving this thermo problem.

    i thought i could use that to work around the Delta(H) = Delta(U) + Delta(pV) so i could solve for Delta(U), and that knowing work, would just give me q. i guess i am wrong. how am i supposed to approach it?
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    Help solving this thermo problem.

    how much moles of gas was produced: EtOH + 4 O2 -> 2CO2 + 3 H2O + O2 (left over from the reaction) therefore N initial = 4 moles of gas, N final = 6 moles of gas using pv = nrt with initial conditions would lead to roughly 97 L messing around with the ideal gas law equation it leads to...
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    Help solving this thermo problem.

    sorry for double post: can you see if this is correct: a) using enthalpy of formation (info found from a table of values) of the reaction, i can say, enthalpy = delta(U) + delta (pv) and that delta (pv) = RT* delta n with that, i solve for delta U work is p delta v, (vfinal found...
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    Help solving this thermo problem.

    this problem is quite long, all I am asking is some for some help by clarifying and hints so i can try to solve this question. Thanks in advance! Consider the combustion of liquid ethanol, C2H5OH(l), to form CO2(g) and H2O(g). Suppose we have 1 mole of ethanol in the presence of 4 moles of O2...
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    How Do You Prove the Absorption Law A v (B ^ A) = A?

    Homework Statement prove that A v (B ^ A) = A Homework Equations V = union ^ = intersection ' = complement The Attempt at a Solution A v (B ^ A) = (A v B) ^ (A v A) (used distributive property) ummm yeah I am kinda lost from here. much help appreciated
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