Recent content by caliboy

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    Statistics Queue problem: M/M/2

    Homework Statement OK I am dealing with a Queue type problem that is M/M/2. I have already solved most of the problem but I can not figure out how to solve for ∏0, Lq, L, & W. The information I am given is: λ=11.98, μ=7 and s=2. Homework Equations The Attempt at a Solution I am...
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    Probs and Stats problem with Queuing systems

    1. Homework Statement [/b] A barber shop has two chairs to cut hair and 10 people per hour enter the barbershop to get a haircut. . The average time it takes to get a haircut is 6 minutes. On this particular day, only one barber is cutting hair. Customers that enter the barber shop and use the...
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    Finding rank(range) and nullspace of a matrix

    I am looking for the nullspace not the nullity. The "nullspace" that I have in the fist post is the nullity. I have been stuyding this and am using the formula Axp=c and am not really understanding how I got a nullspace of (0,0) I found A= 1x1+0x2=0 0x1+4x2=0 0x1+0x2=0 and a nullspace...
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    Finding rank(range) and nullspace of a matrix

    Homework Statement Trying to figure out the rank and nullspace of the matrix of matrix A and B: A= 1 0 5 4 1 4 B= 1 0 1 5 4 9 2 4 6 Homework Equations I used the Gauss elimination on both The Attempt...
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    Inverse Laplace with given limits

    Im would not think I would have to use the limit theorem, mainly because it has not been in the course work I have been studying. I will look into it though and thank you very much for your help.
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    Inverse Laplace with given limits

    Yeah I have been working Laplace transforms for a while now and am still making stupid mistakes. I think I caught it: f(t)=0.3+0.166e-2t-0.465e-5t; thus f(0)=0.01 and f(∞)=0.3
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    Inverse Laplace with given limits

    I apologize I have been using the "latex reference" but am still getting use to it. WhatI meant to say was that F(s)=0.3/\left(s\right)+0.166/\left(s+2\right) -0.465/\left(s+5\right). Now looking at this am I correct in assuming that when the problem asks for f(t) at t=0 and t=∞. So, @t=0...
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    Inverse Laplace with given limits

    Homework Statement Problem reads: find inverse Laplace transform of f(t) of F(s)=(2s+3)/(s(s2+7s+10) What is the value of the function f(t) at t=0 and t=∞?Homework Equations Inverse laplace transformThe Attempt at a Solution I solved F(t) down to F(t)= .3/s+0.166/s+2-0.465/s+5 thus lead me to...
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    Trying to get a start on a second order, non-homogeneous, linear DE

    What I don’t understand is how are you getting P”=1+x+x2+x3. When I take the derivative of P=Ax2+Bx3+Cx4+Dx5 twice, I get P”= 2A+6Bx+12Cx2+20Dx3(different from your what you found P" to be). If I intergrate your P" twice like you said to find P(x) I get P(x)=Ax2/2+Bx3/6+Cx4/12+Dx5/20. (which...
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    Trying to get a start on a second order, non-homogeneous, linear DE

    Your suggestion makes a lot more sense than what I was reading from other material. I want to make sure that I am tracking with what you are saying because when I solve for P” I am not getting what you got. I am getting P”=20x3+12x2+6x+2 and P’=5x4+4x3+3x2+2x. All I have done is take the...
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    Trying to get a start on a second order, non-homogeneous, linear DE

    Ok, then I must have made a mistake somewhere. I double checked my work for the particular solution and found that what I have for the particular solution is correct. I got you reply about missing two other terms. When I solved for the particular solution I found A=0, B=0, C=1/12 and D=1/20. I...
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    Trying to get a start on a second order, non-homogeneous, linear DE

    I solved for the general solution of y=yh+yp I found that y=C1e2x+C2xe2x+1/12x4e2x+1/20x5e2x. This does not look right but I have looked at my work and can't find a mistake with what I did. Does this appear to be correct or am I running down the wrong road?
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    Don’t know where to start on a DE regarding a spring problem?

    b]1. Homework Statement [/b] Ok here is the problem and I’m not sure on how to attack it. "A gun on a tank is attached to a spring-mass-dashpot system with spring constant of 100α and a damping constant of 200α. The mass of the gun is 100. Assume that the displacement of the gun from its rest...
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    Trying to get a start on a second order, non-homogeneous, linear DE

    Ok, thank you very much for that, it gave me a very helpful start. I have reworked the math and was able to understand the problem with what was given. I am currently at the point of solving y=yh+yp(x) and am confused as to what to do with the restraints of y(0)=1;y’(0)=0. I am putting yp back...
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    Trying to get a start on a second order, non-homogeneous, linear DE

    ]Homework Statement Trying to get a good start on a second order, non-homogeneous, linear differential equation with constant coefficients. The differential equation is y”-4y’+4y=(1+x+x2+x3)e2x y(0)=1; y’(0)=0 The constraints with this problem is that I cannot use Laplace transform to...