Recent content by jhast1

  1. J

    How do I rearrange and integrate dx/dt=k(a-x)(b-x) in order to graph x and t?

    The conditions are given in the question I have: a is the amount of substance A and b is the amount of substance B, at t=0. x is the amount of product that these substances have produced at time t. I see where I missed those things, however this does still not give me the curve that I'm...
  2. J

    How do I rearrange and integrate dx/dt=k(a-x)(b-x) in order to graph x and t?

    ok so I did that part again and i got: ln((b-x)/(a-x))/(b-a)=kt+bThen I made x the subject and got this but I'm still not sure if it is right. x=(e(b-a)(kt+c)-b)/(-e((b-a)(kt+c))-1) where c=ln(a/b)/(b-a) Edit: a and b are not equal
  3. J

    How do I rearrange and integrate dx/dt=k(a-x)(b-x) in order to graph x and t?

    Homework Statement I need to integrate dx/dt=k(a-x)(b-x) and then rearrange to find xThe Attempt at a Solution 1/((a-x)(b-x))dx = k dt Integrating dx using partial fractions: 1/(b-a)×(ln((a-x)/(b-x))=kt+c when t=0 x=0 ∴c=(ln(a/b))/(b-a) then when I rearrange I get...
  4. J

    How does this kind of DC motor work?

    Homework Statement I used a similar motor to this one in a prac, and then realized that the arms either side of the coils were not magnetised. I was wondering where the magnetic field comes from, and without any special equipment is it possible to calculate it? Homework Equations t=bain
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