(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

I have to reverse engineer a derivation in a paper and have no idea where to even start. The amount of terms are overwhelming and I can't imagine how the author even began.

2. Relevant equations

The following equations are known:

http://img7.imagebanana.com/img/jpfqw5qj/Selection_001.png

http://img7.imagebanana.com/img/v4cx2e07/Selection_009.png

http://img6.imagebanana.com/img/ape27n0j/Selection_002.png

Substituting them into the following equation gives an expression where [itex]r[/itex] needs to be isolated.

http://img6.imagebanana.com/img/gayq1jb5/Selection_008.png

The author makes many substitutions and results in the following simplified equation.

http://img6.imagebanana.com/img/5gmnl628/Selection_007.png

The substitutions are as follows:

http://img6.imagebanana.com/img/36qfovp8/Selection_004.png

http://img6.imagebanana.com/img/iinwallf/Selection_005.png

http://img7.imagebanana.com/img/japtx4e8/Selection_006.png

What I'm trying to do is figure out how he arrived at these coefficients [a],, [c], V, etc.

3. The attempt at a solution

I've substituted (1)--(5) into (6) but don't know where to go from here. The equation is huge and has many terms. I'm not sure how/where to begin.

Any help will be much appreciated. Thanks.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Reverse Engineering Derivations - How?

**Physics Forums | Science Articles, Homework Help, Discussion**