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    Rate of decrease of the magnetic fields

    Let V_B be the rate of decrease of the magnetic fields \frac{dB}{dt} For the 3rd path: \oint E\cdot ds = -\frac{d\phi _B}{dt} = -\frac{{d\phi _B}_1 + {d\phi _B}_2}{dt} \phi _B_{(t)} = A_{(t)}B_{(t)} The area is constant, it's only the magnetic field that's changing: \phi _B_{(t)} =...
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    Partial fractions QUICK question, zero work required, just knowledge of how they work

    Alright... What are the rules for when the numerator (Top part) of the fraction has a higher degree than the lower part of the fraction. Something + {*} ... As in what is that SOMETHING based on the numbers? I have a midterm in like... 50 minutes and this is the only thing I need to know.
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    Freshman Calculus [Easy, yet long]

    Homework Statement http://i.imgur.com/ks0WZ.png Homework Equations A lot of them. The Attempt at a Solution I've got all the right answers up until part four, where you have to solve for C. -5000 is incorrect. I need help setting up to solve C! Please ^_^.
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    Surface Area of a Solid of Revolution

    Homework Statement Homework Equations integral [a, b] 2*pi*x*sqrt(1 + (dy/dx)^2) The Attempt at a Solution Well I know how to do surface area questions... But that the @#$@ is with this random equation? How would I even start to evaluate it... Like honestly... I don't even understand the...
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    Surface Area of y = e^5x revolved around the x-axis from 0 to ln(4)

    Homework Statement http://i47.tinypic.com/1z6naa.jpg Note... I used wolfram alpha to get the answer, I did not get it myself... So I still need help. The answer shown is correct, so you'll know if you got it. Homework Equations Integral [0, ln(4)] sqrt(1+(dy/dx)^2) The Attempt at...
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    Arc Length of e^5x from 0 to ln(4)

    Homework Statement http://i47.tinypic.com/1z6naa.jpg Note... I used wolfram alpha to get the answer, I did not get it myself... So I still need help. The answer shown is correct, so you'll know if you got it. Homework Equations Integral [0, ln(4)] sqrt(1+(dy/dx)^2) The Attempt at a...
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    Good lord am I confused

    Homework Statement Homework Equations F = Ma The Attempt at a Solution ... I wish I even knew where to start :\ I drew the freebody diagram, but I don't know how to use it.
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