I believe I figured it out. Sorry for the confusion. dm/dt =k.
for future reference, if one is looking at this problem, they can easily solve it by raping calculus, i.e.
m dv/dt = m dm/dm dv/dt = m dm/dt dv/dm = m k dv/dm
Now the only dependencies are on m and v, thus by separation of...
Homework Statement
Consider a rocket is subject to linear resistive force, f = -bv . \dot m is constant. Use the equation: m \dot{v} = -\dot{m }v + f to determine the velocity of the rocket :
since the rate of mass lost is constant
let \dot{m} =k
vex = nuzzle velocity
v = \frac{k}{b}...
Haha, thanks for the explanation. I love the drum roll part. Anyhow let's get back to the question:
I obviously know and understand what's going on. The problem is showing whatever is happening mathematically. Remember, Duh or an example is not a proof.
So I know that \emptyset \times...
Well, that doesn't really sound right, if ^\sharp (A) = 0, it means A = \emptyset . As far as I understand induction, it has to do with adding our initial assumption to the second assumption and getting to the third assumption. Adding an emptyset doesn't make that much sense.
If I initially...
Hey Guys,
So, I am trying to prove the Fundamental Counting Principle using induction. I have no clue where to start or even how to use induction to prove it. I would appreciate some help.
The Question in a mathematical form: Let ^\sharp (A) = m and ^\sharp (B) = n. Proove by induction...