Recent content by takbq2

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    Flux through a sphere given a vector field

    So the flux is not zero, it is just out = in. From the information given is there anything else I can know about the flow?
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    Flux through a sphere given a vector field

    Well the triple integral yields zero then. Does this mean that the vector field does not flow through the sphere? There is no flux? Can I plot this? Thanks, by the way.
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    Flux through a sphere given a vector field

    I thought that you couldn't integrate 0
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    Flux through a sphere given a vector field

    Homework Statement Vector field F = (2siny-cosz, 2cosx+3sinz, cosy-2sinx) Compute the flux of F through a sphere of radius one centered at the origin with respect to the outer unit normal. Homework Equations Divergence theorem/Gauss's Law The Attempt at a Solution The only...
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    Fisher's Equation (I solved it, now need to know how to analyze my plot)

    Homework Statement I am asked to solve Fisher's equation, i.e. the PDE ut = uxx+u(1-u) . Then I am asked to describe how the speed of the wave front of solutions to it depend on the amplitude of the initial population with the "mutant gene" and likewise how does it (the wave front of...
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    Numerical solution of Fisher's equation

    I'm interested in this too... despite it being posted a long time ago.
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    Easy Tank Model? Outflow of tank proportional to volume of tank.

    thanks a lot for your help, uart. I got part b, K would = Qin/V. Working on last part.. if it is a sinusoid nothing changes, you still want amount into equal amount out, so just sinusoid(t)_in/V = k for part (c) I would think
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    Easy Tank Model? Outflow of tank proportional to volume of tank.

    Well I know it's not right. I'm just coming to the same answers over and over again because I've done it so much I can't think outside my current train of thought :S It must be q_in(t) = dV/dt + kV ... one final check on this please??
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    Easy Tank Model? Outflow of tank proportional to volume of tank.

    I'm sorry, I'm confused. They are proportional so f_out = kV, thus, dV/dt = fin(t) - k*V(t) which is not right? >=\
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    Easy Tank Model? Outflow of tank proportional to volume of tank.

    dV/dT = c(fi(t)-fo) ? On second thought, dV/dt = fi(t) - c*fo(t) ?? seems better, can someone verify this or otherwise please? Thanks!
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    Easy Tank Model? Outflow of tank proportional to volume of tank.

    1. Suppose we have a tank partially fi lled with water. There is a pipe feeding water to the tank as a variable ow rate and there is also a drain pipe with a computer controlled variable valve hooked to a sensor in the tank. The valve opens exactly enough to let water drain from the tank...
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    Conservation of mass/flow through tanks

    1. Suppose that three tanks in series, connected by pipes of the same size are filled with water that is moved through the system with pumps at the rate of 5 gal/min. The first tank is 1000 gal. The second tank is 750 gal. And the third tank is 500 gal. The contents of each tank is vigorously...
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    Find point closest to three lines

    wait, so its correct? why is it not correct to take say, a bunch of random x's and plot the lines with those x's then look for where the obvious closest spot then plot the point and see if it looks right? It must be correct. I understand your checking and plot and it says that the answer is...
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    Find point closest to three lines

    thank you so much for all your time and help, it helped a ton.
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