Recent content by MCooltA

Homework Statement So for M/M/C queueing systems, I have two types of problems that I have been asked to deal with. For the first question I am given in my notes, is where the arrival rate is constant λ=10 and service rate is μ=5.122 with 2 servers, i.e. C=2. For this question, I have used...

Thanks for your reply. So far I've got; \nabla(r) = (1/r) (x,y,z). And then for df/dr = \partialf_{x}/\partialx + \partialf_{y}/\partialy + \partialf_{z}/\partialz Im unsure about what df/dr is.

Homework Statement I need to find \nablaf(r). I am given r = |R| where R is a vector, R =(x,y,z). I also have the function f(r) which is a differentiable function of r. Homework Equations So i know \nabla(g) = (\partialg/\partialx, \partialg/\partialy, \partialg/\partialz) The...

Im confused by what you meant above, but i meant to say; I have found f(x) by ∫f(x,y) dy, with the limits x to ∞. To then find the E(x) do i ∫x * f(x) dx, with the limits 0 to y?

Homework Statement I have been given a joint PDF for X and Y, with ranges Y>X≥0. I need to find the E(x) and E(y). Homework Equations I know E(x) = ∫(x)*(f(x,y) dx and E(y) = ∫(y)*(f(x,y)) dyThe Attempt at a Solution For ∫x*f(x,y) dx, i used the limits = x to ∞ For ∫y*f(x,y) dy, i used the...

I have to plot the function f(x) in maple, for -4 < x < 4. I have got: a:= 0.58 b:=0.61 c:=0.35 f(x) := e^(-a)(x^2) - (b)(x)*ln((x^2) + 1) ....2 + (x^2) + (c)*sin(x(Pi)) Maple interprets this correctly, but when i go to plot it, it comes up with 'Warning, unable to evaluate the...

10mm was the final extension, so a total of 60mm, after it had broken. And i am trying to calculate the engineering stress and engineering strain. Thanks

I need to draw a stress and strain graph. New to physics, so would like to know if i am on the right line and require a bit of help for the last few questions These are the values I have: Diameter - 10.02mm Original Length - 50mm Extension -10mm Diameter After Test - 6.76mm Max Load -...