Recent content by Metahominid

Homework Statement I'm not very good with LaTeX and the reference button seems to broken. So Assume lim h(z) = 1+i, as z->w, prove there exists a delta, d>0 s.t. 0<|z-w|<d -> (2^.5)/2 < |h(z)| < 3(2^.5)/2 Homework Equations The Attempt at a Solution Kinda been running in...

okay, awesome. Thanks

I think I was just really tired and didn't remember what I had looked at before. but my proof was if u is a cycle of length k. Then u(ai) = ai+1 1\leqi\leqk-1 u(ak) = a1 then if v = u2 v(ai) = ai+2 1\leqi\leqk-2 v(ak-1) = a1 v(ak) = a2 so v(a1) = a3 which then we permute, and...

Homework Statement Show that for any cycle of odd length, u, then u2 is a cycle as well. Homework Equations The Attempt at a Solution I looked at examples of it and it does work them but I am unsure of how to generalize it.

No I do not, I don't think we have covered conjugation.

Homework Statement The question is to show that the for symmetric groups, Sn with n>=3, the only permutation that is commutative is the identity permutation. Homework Equations I didn't know if it was necessary but this equates to saying the center is the trivial group. The Attempt at...

Hey, sorry it took me so long to reply. Thank you so much. I chose (ba)^n+1 = b((ab)^n)a = b(e)a =ba, so I took the inverse and got (ba)^n = e. I know I need to prove that n is the smallest integer s.t. that is true, so I assumed there was a k < n s.t. (ba)^k = e. Then I know this implies that...

Homework Statement G is a group. Let a,b be elements of G. If order(ab) is a finite number n, show order(ba) = n as well. Homework Equations order(a) = order(<a>) where <a> is the cyclic group generated by a. The Attempt at a Solution I do not know. I thought it may be related to...

I noticed this before, however I am still not quite sure how to use that fact to find the initial velocity. Or well, I tried using vfy = viy - g\Deltat. I figure the heat must be getting to me.

Homework Statement You are watching an archery tournament when you start wondering how fast an arrow is shot from the bow. Remembering your physics, you ask one of the archers to shoot an arrow parallel to the ground. You find the arrow stuck in the ground 55.0 m away, making a 3.00 degree...

Ha, I have Swokowski's, took it when I was in high school. Never returned it.

I am not really familiar with this author but it appears he has written a number of books of varying levels.

I have no idea about that. My textbook, University Calculus by Hass Thomas Weir is nearly a thousand pages and probably has more problems than that. I'd probably google it or something

Yeah, as long as you understand pre-calculus (exponentials, trigonometry and logarithms), do your homework thoroughly and aren't afraid to ask questions then you should be good. You don't have to but it can be useful to have a study group of a few friends and getting to know your teacher's...

We never really did too much with this, however in Taylor polynomials you are generating an approximation through a polynomial. How accurate you are is dependent upon how many time you can differentiate the function and what value you choose for the function. The polynomial approximates the...