Recent content by gathan77

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    Partial Derivative Analysis Question

    Homework Statement Given a graph of f(x,y), how can you determine where the partial and second derivatives are positive, negative, or zero? The attempt at a solution The first partial derivative is fairly easy to picture so I'm more concerned about the second partial derivative. I'm having...
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    Calculating Potential Difference in a Charged Pipe Using Gauss's Law

    Ok, I've been working on this a little, so I was wondering if you could tell me if I'm wrong. E L 2 π r = ρ * L π ( r^{2} - a^{2} ) / ε So, E = ρ ( r^{2} - a^{2} ) / 2 ε r Knowing ΔV = - ∫ E dr = - ∫ [ρ ( r^{2} - a^{2}) / 2 ε r ] dr =...
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    Calculating Potential Difference in a Charged Pipe Using Gauss's Law

    This was a recent problem on an exam that I did poorly on that I was wondering if I could acquire some assistance to further my understanding. Homework Statement A long plastic pipe has an inner radius A and an outer radius B. Charge is uniformly distributed over the volume A<r<B, and the...
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