Recent content by mrwest09

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    How to Linearize a Function without Using Logarithms

    Okay that makes some sense but if you were to fit that into your standard y=mx+b format for linear lines wouldn't your 'y' value depend on two variables? In this case wouldn't it not be linear? This is how I am picturing the final equation: \ln{y} - \ln{x} = \beta \, x + \ln{\alpha}...
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    How to Linearize a Function without Using Logarithms

    Homework Statement Linearize the following model: y=\alpha*x*e^{\beta*x}Homework Equations The only relevant equations I can think of are the laws of natural logarithms.The Attempt at a Solution I have tried to taking the ln of both sides however that leaves me with an equation that has two...
  3. M

    Cut-off frequencies, Quality for a given Transfer Function

    So I finally figured it out. Turns out if we multiply the transfer function by (30/30) we get a transfer function of H(s)=[300s/(s^2+300s+10^6)](1/30) which fits our definition for an ideal band pass function. By simply comparing it with the format for the ideal band pass function we can...
  4. M

    Cut-off frequencies, Quality for a given Transfer Function

    Homework Statement Given the network transfer function H(s)=10s/(s^2+300s+10^6) Find the center frequency, lower and upper half power frequencies and the quality factor Q. Homework Equations Beta=R/L (omega naught)^2=1/(LC) BW=hi-lo=R/L H(s)=(R/L)s/(s^2+(R/L)s+1/(LC))...
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