Recent content by DrMath

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    Verifying Identity: Sec(x)Sin2(x) = 1 - cos(x)

    I think a trick in handling trigo qns is to convert all to sine and cosine functions. since sec, csc and even tan functions can be derived from sine and cosine. Do remember this to help in your future sch works as well.
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    How Do You Determine H(s) from a Response Curve?

    Homework Statement Hi, Is the answer = 0.05 / s+0.05? Any quick steps to determine H(S) from cursve like that? Homework Equations The Attempt at a Solution
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    Solve Spring Mass Problem: Get Help Now!

    Homework Statement Hi PF frens, I've got the attached picture translated into differential equation representation. However, not so sure how the r(t) and f multiply dee-y / dee-t comes about. Kindly advise? Homework Equations The Attempt at a Solution see attached jpeg.
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    No Laplace Transform? What can be said about the function?

    Laplace Transform is just a means engineers convert representations in time domain into frequency domains in engineering. Things in time domain do happen in frequency domain. as F= 1/T. Convolution (which is complicated) in the time domain means multiplication in the frequency domain - which...
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    Finding reverse saturation current.

    Homework Statement Hi, I have a problem to find the reverse saturation current for a piece of diode. I have a question - given conductivity, a I-V curve with forward bias information (a table of I vs V values), how can i proceed? I have other information abt the diode such as its mobility...
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    System Control Query - Find y(t) from Y(s)

    Dear PF Friends, Given the system to be controlled. I'm stuck in finding the inverse laplace (to find y(t) from Y(S)) - any advice?
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    Explore the Benefits of Personal Financial Planning

    See attached. Not very sure how to proceed.
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    Limit as x approaches -2: Why is the result 1/12 instead of 1?

    if you get "0/0" - you should always use L'Hopital Rule. Note that "0/1" or "1/0" results you shouldn't use... :)
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    Procedure to test pole and its order

    But as i proceed... Say at the 3rd time.. it becomes (as attached). Hmm.. so i assume after up to 13 times differentiated; is should get things like: - K sin (2z) / z^14 + ...+ ...+ - (Last temr -ve here) ------ by pattern matching. (well, if i take limit term by term; this term gives...
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    Switching partial and ordinary derivatives

    Laplace Transform? Don't quite get what u mean :P
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    Is ">=1" Valid for a Circle Equation?

    Thanks tiny-tim oh.. how to become a Homework Helper here?
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    Procedure to test pole and its order

    i find it very tedious to work out 13 times... :redface:
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    Is ">=1" Valid for a Circle Equation?

    Homework Statement is: >= 1 valid for a circle equation? See attached? Homework Equations reference attached The Attempt at a Solution reference attached
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