Moonbear, you drifted a bit. We're talking about the efficacy of inversion in back pain and discs, and you're talking about heart disease. While I'll agree that this is something which should be disclosed, you shouldn't misrepresent your sources as supporting your conclusion:
While I think...
I don't know why I thought that the exponent distributed like that ... thank you so much for your patience and help. Out of curiosity -- and at the risk of testing your patience further -- is there an easy to tell if an equation can be solved algebraically? I'm guessing the answer is when the x...
I see, thanks. I got log(a*b) confused with log(a+b). Which is pretty major. Actually, for some reason I thought I could take the log of each component of the two expressions individually. Is there any way to break apart things like:
\ln{(4^x + 4^{-x})}?
And when I do that log, I'm guessing...
When you take the log of something, can't you pull down the exponent as a multiplicative factor?
For example, if I was to take the log of 4^x, that would be x*log(4)?
Homework Statement
I have a curiosity question. The precalc textbook asks me to solve by using a graphing calculator but I want to do it algebraically. I know that the equations intersect through the graphing calculator -- one intersection at x = 1.07808, another around -1.5. The two equations...
Hi, this is just a curiosity question which occurred to me when I was reading the Wikipedia page on condoms. I'm sorry to start a topic on something so basic, but there isn't a category on the homework section for "other" aside from calculus/physics ect.
Let's say condoms are 98% effective...
Err, sorry. That's what it is. But I still don't see how you go from E(Y^2) to E[((Y-\mu_Y)+\mu_Y)^2]. How'd they come up with the latter definition? Did they just add and subtract \mu_{Y} and then add it, then group them using the associativity property?
If I didn't add and subtract \mu_{Y}\...
Deriving Expectations (i.e. means)
I'm looking at my Introduction to Econometrics book and trying to figure out the derivations in the 2nd Chapter.
First, E(Y^{2}) = \sigma^{2}_{Y}+\mu^{2}_{Y}
The derivation goes like this:
E(Y^{2}) = E{[(Y - \mu_{Y})+ \mu_{Y}]^{2}} = E[(Y- \mu_{Y})^2] +...
[SOLVED] Cobb-Douglas functions in economics
Hi. I'm an economics major. This problem isn't actually required, but I'm trying to learn more about Cobb-Douglas functions.
Homework Statement...