Recent content by techiejan

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    Solution of exponential equation

    Thanks grzz. This was very helpful.
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    Solution of exponential equation

    Thanks grzz, I solved it now. Can you please tell me the logic behind expanding the exponential to first three terms?
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    Solution of exponential equation

    How does the given equation: βe^(x/β)-x = β+(A/B) solves to x = √(2A/βB) when β is large?
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    Minimizing x in "(A+Bx)/(1-e^(-βx))-(B/β)

    Thank you very much!
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    Minimizing x in "(A+Bx)/(1-e^(-βx))-(B/β)

    Thanks Math man, But how do I incorporate the constraint ?
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    Minimizing x in "(A+Bx)/(1-e^(-βx))-(B/β)

    I really need this problem solved. Some help please.
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    Minimizing x in "(A+Bx)/(1-e^(-βx))-(B/β)

    Thanks HallsofIvy. So let me get this correctly...for the above optimization, we just take derivative of the objective function? How do we incorporate the constraint in that case? In my case derivation of the objective function yields e^(βx)-βx=1-(βA)/B. And then considering 1/β is large, I...
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    Minimizing x in "(A+Bx)/(1-e^(-βx))-(B/β)

    How to minimize the following: {(A+Bx)/(1-e^(-βx))}-(B/β) Subject to : x/(1-e^(-βx)))- (1/β)≤ T I need the find the value of x. All A,B,T and β are constants. The numerator is linear. I don't know if the equation remains linear when the denominator is added. When plotted, the equation is a...
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