Recent content by XYZeagle

I'm currently an undergraduate who has just completed a year of physical chemistry. I don't feel like I understand quantum mechanics as well as I could. It's probably because my knowledge of classical mechanics stops at basic Newtonian mechanics. I don't know E&M that well either. I would like...

You know the speed of the plane before it encounters wind and the speed of the wind. The drag force caused by the wind will accelerate the plane, thus the changing velocity of the plane over time.

I'm not asking for a solution to this problem. I'm just wondering about its validity. Homework Statement The wind velocity v1 is 40mph from east to west while an airplane travels with air speed v2 of 100mph due north. The speed of the airplane relative to the ground is the vector sum v1...

I'm going to be a second year student majoring in chemistry this fall and a professor wants me to work on a research project (or with a group) either with him or with another professor. I performed well in his class (in the top 2-3 students of several hundred). I'm really excited about getting...

Yes, what I copied is what the book says. What's weird is I can plug in numbers for the integers to that meet the requirements set and show that -1 can be a root. The equation was xn+p1xn-1+p2xn-2+...+pn = 0. Let n=2, x=-1, p1=2, p2=1 (because pn was required to be 1) p1+p2=2+1\neq-1 It meets...

I can't see how that can show the equation's root isn't 1 or -1. It's easy to see that -1 and 1 are the only possible roots and 1 isn't a root, but with -1 I'm hitting a brick wall.

You're right it should be xn+p1xn-1+p2xn-2+...+pn = 0. It says to show it can't have a rational root. The author showed the equation can't have a rational root other than -1 or 1. I showed its not 1 and I don't know what to do about -1.

The author showed that the equations roots can only be integers and it's very obvious that pn must be divisible by the root. With pn being 1, the root can either be 1 or negative 1. If the root is 1, the two sides aren't equal because p1+p2+...+pn is not -1 and because of that the root can not...

I've been working through "A Course of Pure Mathematics" and there is one problem I'm really stuck on. I'm wondering if anyone could help me out. To avoid typing it all out, I here's a link...