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1. Confusion about squeeze theorem example; plugging 0 into x when x ≠ 0.

This is from a textbook but it is not a homework problem, it's an example following the introduction of the "Sandwich Theorem". It says "for all x ≠ 0", but then it appears to assume that x = 0 when it finds the limits of g(x) and h(x). Clearly 1 ≤ u(x) ≤ 1 means u(x) = 1, I don't dispute...
2. Calculator operations and value of i.

Like many math newbies, complex numbers (or at least the idea of complex numbers) are a source of some confusion... but I've worked with them before and I'm reading through posts on PF that I hope will give me some sense of intuition about them. That said, there is one nagging question that I've...
3. ISU vs UIdaho; Comparing Undergrad Physics Programs

At the moment I'm attending North Idaho College, and while ideally I'd be able to transfer out of state to a better University, I'm all but guaranteed a spot at either University of Idaho (UI) or Idaho State University (ISU) if that doesn't work out. So naturally I'm trying to figure out which...
4. Chemistry - Concentration from known pH and Ka.

Homework Statement A particular sample of vinegar has a pH of 2.90. If acetic acid is the only acid that vinegar contains (Ka = 1.8 x 10-5), calculate the concentration of acetic acid in the vinegar. Homework Equations Ka = [Products]/[Reactants] pH = -log[H+] The Attempt at a...
5. Subjects in addition to Physics requirements; scheduling.

(If there is confusion about course content, see links at bottom of post for course descriptions.) So looking ahead to the next 3 semesters, I can plainly see what classes I NEED to take for Physics.. but they leave room for courses in other disciplines -- for example Engineering, Computer...
6. Visual Studio deleting .exe files in \Debug\ folder.

(Programming and VS newb here.) I'm hoping someone has had (and fixed!) this problem. I'm working on a project for my CS-150 class but I'm having some tech troubles. I'm running Visual Studio 2010 Ultimate (downloaded via MSDNAA) and it (or something else) seems to be deleting my project.exe...
7. Looking for dimensional analysis problems/solutions!

I wasn't sure whether to put this here or in the Chemistry forum, so if it's in the wrong place I'd prefer it be moved rather than deleted. ;) Anyway. I'm struggling a bit with Dimensional Analysis, particularly of volumes/density and recognizing conversion factors when I see them. As more...