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...
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...
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...
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 Guass elimination on both
The Attempt...
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.
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
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...
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...
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...
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...
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...
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?
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...
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...
]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...