I posted this elsewhere but realized it ought to be in the homework section. I have to use induction to prove that for n>=4, 2^n < n! is true, but I don't know wehre to start. I have the base case proven, but then I don't know where to go after I have my Inductive Hypothesis that it works for...
I'm to prove that for n>=4, 2^n < n! holds, but I don't know where to go after the inductive hypothesis that it holds for n>= 4 after showing it works for the base case (n = 4). Here are my steps so far:
2^(n+1) < (n+1)!
2*(2^n) < (n+1)(n!)
but I dont' know where to now! help is much...
This is another problem I am having troubles with. Here's the prompt:
What is the reading of a voltmeter with the proper range and with resistance 5*10^4 Ohms when connected between point b and ground?
I know that for voltmeters, V = I_fs (R_c + R_s), and I tried solving for V using the...
So I have done most of this problem, but can't seem to find the final charge on that capacitor. It says that there was a switch, even though it is not in the image, and that at t=0 the switch is closed, and that the capictor had no charge initially. I solved for and know that I1 = 4.2 A, I2 =...
Clarification...?
I tried using that, but I didn't see how to do it, because I don't know the current through the middle section w/the 2-ohm resistor. That being said, how do I make an equation? Would I do something like...man i don't know. I don't know what the current coming out of the 24V...
What must the emf E in the figure be in order for the current through the 7.00 - Ohm resistor to be 1.81 A? Each emf source has negligible internal resistance.
I solved for I through the 3-ohm resistor using the outer loop: 24V - (1.81A)(7-Ohm) - (3 Ohm)(I) = 0 and got that I = 3.77. I...
Hey I am confused as to the answer to this question; not sure exactly how to figure out what the answer is because it is not a constant resistance. Any help appreciated:
The potential difference across the terminals of a battery is V_1 when there is a current of I_1 in the battery from the...
I have problem with a circuit. It has two sources of emf, and I'm not sure how to calculate the magnitued of the current in the circuit due to this. Here's what the circuit looks like (R's are resistors, *'s are just for spacing):
|----------+|1|------|
|*************** |
R = 5...
OK I just want to start from the beginning and try to get the first part of this problem so I can get what is going on in my head and understand it. Here's the problem:
A point charge q is imbedded in a solid material of dielectric constant K.
A) Use Gauss's law as stated in equation...