Recent content by jamjar

Can anyone post me a clear example of how to compute the quotient space U/V from a vector space U and subspace V? I've seen many formal definitions but I'm a little stuck on practical use. I'm particularly interested in an example that shows how U and V being over the reals (for example) can...

If I use that product rule I end up with a free floating p in my equation where I know that \frac{{\partial p}}{{\partial V}} doesn't have a term in p

How do I do that with differentials? I end up with crazy results.

Hi, I'm trying to take differentials of the following equation (p + \frac{a}{{V^2 }})(V - b) = C in order to find the partial derivative \frac{{\partial p}}{{\partial V}} I know there's an easier way to do it but I have to take differentials. I'm just not sure how to deal with the...

Well, I just solved that anyway, 1 minute after posting it. I had some wacky manipulation error before that I spotted.

Hi, I'm trying to solve this trig equation. I've tried representing everything in terms of sin or cos but I don't ever seem to get anywhere useful. Any pointers? Sin(\theta ) = \frac{1}{2}\left( {\frac{1}{{Cos(\theta )}} + Cos(\theta )} \right)

Well, I worked it out from there. I just wasn't expecting to get any differentiation in pre-calc. Thanks for the help :smile:

I could differentiate perhaps? I'm not sure what operations I can use within the summation.

I can't see how to relate the two. The extra multiplication by k is making it difficult.

Hi, I've come across this series and I'm not sure in which direction I should be looking to get an equation for the sum. I've tried some simple methods but have come up blank. \sum\limits_{n = 0}^{n - 1} {nr^n } Can anyone give me a nudge in the right direction?