Recent content by singular

I'm not really sure what you mean by expansion. Are you wanting a partial fraction expansion? Can you elaborate a little bit and show some of your work on this problem?

No, cosine is a function of t and can't be thought of as a constant, k. Try to tackle the parametric equations by starting with the complicated part. The idea when dealing with trig functions in parametric equations is to get the relations x(t) and y(t) to contain similar terms so that you can...

You are so close. Now, you want to pull the terms with x out of the equation and make them into a new equation, leaving you with two separate equations. It should look like this: 3x=Ax -1=3A+B Now, solve.

Here is a nice http://www.pinkmonkey.com/studyguides/subjects/calc/chap2/c0202701.asp" . The http://en.wikipedia.org/wiki/List_of_trigonometric_identities" on trig identities is good, but it probably has more than you will ever need. Here is a good condensed...

Maybe you can find something useful http://pballew.blogspot.com/2009/10/notes-on-cyclic-quadrilaterals.html" .

Ahhh. That's nice. I see where I went wrong. When I was multiplying each term on the LHS by 1, I didn't change the sign in front of the 1. In other words, I multiplied the first term by sqrt(1 - x) + 1 over itself and the second term by sqrt(1 + x) - 1 over itself. That is a nice tool. I am...

This was my assumption. I was able to find the problem...

I tried as well and couldn't find anything useful to simplify the expression. Following Mark44's hints, I ended up with \frac{x\left(1-x\right)^{1/2}+x}{2-x+2\left(1-x\right)^{1/2}}+\frac{x\left(1+x\right)^{1/2}-x}{2+x-2\left(1+x\right)^{1/2}}=1 I looked at this relation graphically...

I am currently in a computational physics course and am working on a final project involving carbon dimers. The reason this topic is applicable in my class is that once I figure out the physics involved, the problem involves using a lot of the numerical methods I learned in class. I am solid on...

Here is something to help you start. In order to calculate the angular velocity of a system like this, you want to look at the conservation of angular momentum. Let d refer to disc, m refer to marble, and c refer to composite system. Applying conservation of angular momentum to the system...

Sorry I am not being much help. I am in the middle of finals. If I get some spare time, I will work out the problem and help you further if nobody beats me to it.

I only assumed because of the use of limits, which in my experience are taught in calculus. Mspike6: I was able to check the method Mark44 is trying to help you with, so if you want to see a way that takes only a little extra work with no calculus, but ends up much simpler in the end, try to...

You have a good start. Try L'Hôpital's rule (use only in cases where you have 0/0 or ∞/∞) lim_{n\rightarrow c}\frac{f(x)}{g(x)}=lim_{n\rightarrow c}\frac{f'(x)}{g'(x)} Then evaluate it and see what you get.

It is important for you to realize where this came from. If you have notes, cheat sheet, book, or webpage with trig identities, look at the double angle identities.sin2x=2sinxcosx

If the algae increases by a factor of 4 every 60 days, then 60 days prior to the algae being size x (at present), the algae will be 0.25x. Starting from 0.25x, how long will it take for the algae to increase to 0.5x?