Haha- no, that's cake LOL
It's really more this term ∫dt'Rx(t')eλx(t'-t) (from 0 to t) that confuses me- I'm not sure where the primes came from and what it is indicating. It was the first step given for a solution. It seemed odd since the αt should be, like you said, extremely simple.
Homework Statement
Given the followin[Sg decay chain- X→Y→Z
Solve for Nx(t), Ny(t), Nz(t) for the case of Rx(t)=\alphat and assuming Ny(t)=Nz(t)=0
Homework Equations
dNx(t)/dt = -\lambdaxNx(t) + Rx(t)
dNy(t)/dt = -\lambdayNy(t) +\lambdaxNx(t)
dNz(t)/dt = -\lambdazNz(t) +\lambdayNy(t)
The...
Homework Statement
The spontaneous fission rate for U-238 is roughly 1 fission per gram per 100 seconds. Show that this rate is the equivalent to a half-life for spontaneous fission of ~5.5x1015 years
Homework Equations
none that I can find in my book
The Attempt at a Solution
I'm...
Hi tiny-tim!
Awesome- yes I absolutely can take it from there- thank you so much! Just have a seriously tired brain and couldn't wrap it around making that easy :-)
Homework Statement
How many collisions will be necessary to slow a neutron down from 14.1 MeV to thermal energy (0.0253 eV)? A=24
Homework Equations
E'=[(A-1)/(A+1)]^2 x E
The Attempt at a Solution
The calculation is not an issue- I understand how to use the equation and what...
Got through the first question fine and did take the second derivative of the equation, but once I do that all variables are codependent on each other so setting it equal to zero makes everything zero.
d2P/dt2= -2Pr/K
so I'm kind of at a loss of how to make that a maximum. I must be...
Homework Statement
consider a lake that is stocked with walleye pike and that the pike population is governed by P'=.1P(1-P/10) where time is measured in days and P is thousands of fish. Suppose that fishing is started in this lake and that 100 fish are removed daily. modify the logistic model...