Recent content by MurdocJensen

Alright. I was able to check the answer with a friend and I got it right. Thanks for your words. Would an iterated integral be an easier way to approach this? Wouldn't I just keep my variables as is and just append their differentials to the end of the function?

Homework Statement There is a non-conducting charged rod with length L=.0815(m) and linear charge density λ=-5.9x10-14(C/m). The rod is placed parallel to and on the x-axis, and at a distance a=.12(m) from the right-most end of the rod is point P. Calculate the magnitude and direction of E...

Brocks: My question is still valid. I know you could just remember the derivative of arctan, but I was curious about how you get to that answer. What is the logic behind the intermediate steps of finding the integral of 1/(1+x2)?

If we have 1/(1+x2), the antiderivative for it is tan-1(Θ), correct? I'm trying to understand how the substitution needed to get this works. First we have 1/(1+x2). Then we say that if we replace x with tan(Θ), we can replace the denominator with its identity, sec2(Θ), correct? Is it the...

This is what I want to say: The squeeze theorem may be used when direct substitution and factoring (or simplification of any sort) doesn't help in finding a limit. An example would be lim x->0 of x2sin(pi/x). Limit laws wouldn't work and we can't simplify the expression. What we can do is...

gb7: Yea, I'm an idiot for not noticing that. Thanks for the help!

But aren't we using l'Hospital's rule for indeterminate forms?

Yea, but I was able to get the answer by just rationalizing the numerator. I'm going to try l'Hospital now. EDIT: I thought we only use l'Hospital's rule for lmits that are 0/0 or inf/inf.

So far I have tried dividing out by (x+4)1/2. This still gives me an x in the denominator that yields infinity when x->0. I have also tried dividing out by x, but this gives me fractions in the numerator that, again, give me infiinity.

lim as x -> 0, [(x+4)1/2-2]/x That's the limit I want to evaluate. I keep running into problems getting to the real limit (1/4). You don't have to give me the answer, but let me know if I'm missing something simple. Or you can just give me a hint.

Evo: My original post wasn't that clear, I admit. I was asking if any science or math majors ever had trouble communicating concepts and thoughts to peers with similar majors. I guess I'm ultimately asking for advice on how to overcome this communication barrier, even though I didn't...

Jimmy: That's it.

micromass: I was pretty general (and wrong) with my reply. Thanks for the clarification.

Thanks. And for K < 0, I can use what I originally typed because the terms with x in their exponent will tend to zero as x -> inf. And how do you type those operations out? They look so pretty.

I'm curious. Are there any science or math majors who found themselves needing to improve on communication with other majors and professors in a similar field? Was a mastery of the subject the most important thing in this communication, or was it more so just speaking more with others?