Given 1000 cows and 10 pens, you want to arrange the cows in the pens such that any number of cows from 1 to 1000 can be obtained by opening certain pens and taking all the cows in those pens. How do you arrange the cows in the pens?
Homework Statement
A and B are n x n matrices, so their Jordan Product is (AB + BA)/2. Show that this product is commutative but not associative.
Homework Equations
The Attempt at a Solution
I understand the logic behind the answer, but I don't know how to show it. Where would...
Homework Statement
Negate the following statement and thereby prove that it is false.
[PLAIN]http://img834.imageshack.us/img834/5020/74520479.png Homework Equations
The Attempt at a Solution
I know the general rules but there are so many conditions in this statement that I don't know how to...
Homework Statement
http://img265.imageshack.us/img265/9245/45050879.png"
Homework Equations
The Attempt at a Solution
I really just don't know. I understand how equivalent resistance works, but I just don't get this question. Please ignore the marks I have on the page.
I pretty much understand, I'm just wondering how Gauss' Law proves this. Can't a point outside of a Gaussian Surface still affect the E-field at a point on the surface? It just wouldn't be in included in the integral, right? So how would this say that the charge on the inner shell does not...
Homework Statement
http://img685.imageshack.us/img685/9501/10953060.png"
Homework Equations
The Attempt at a Solution
I know you use Gauss' Law, but why wouldn't the charges outside of the shell induce a charge on the shell, which would then affect the field at P?
Homework Statement
In the figure below, R1 = 5.0 k, R2 = 10.0 k, C = 0.600 µF, and the ideal battery has emf script e = 20.0 V. First, the switch is closed a long time so that the steady state is reached. Then the switch is opened at time t = 0. What is the current in resistor 2 at t = 4.00...
Homework Statement
Figure 10-22 is a graph of the angular velocity versus time for the rotating disk of Fig. 10-21a.
For a point on the disk rim, rank the instants a, b, c, and d according to the magnitude of the radial acceleration, greatest first (use only the symbols > or =, for...