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  • M
    mario99 replied to the thread taylor series of tan^-1(x)/x.
    You want to find the Taylor series of \displaystyle g(x) = \frac{\tan^{-1}x}{x}. First question comes to mind, can we reduce this...
  • M
    mario99 reacted to Dr.Peterson's post in the thread Basic Calculus with Like Like.
    Of course, guessing what the actual problem is, is different from guessing a possible solution to a problem and checking whether it...
  • M
    mario99 replied to the thread How do I find v(t) from v(x)?.
    Your main goal is to find v(t). By definition, v(t) = x'(t). This means \displaystyle v(t) = v(x(t)) = \frac{4212x(t)}{x(t) + 0.5}...
  • C
    cwb1328 replied to the thread How do I find v(t) from v(x)?.
    Here is a link to a more thorough breakdown. https://enlightenment1998.com/scientificenlightenment1/representation222.html Maybe...
  • Dr.Peterson
    I tried looking into this, but haven't yet found a thorough recent source. It appears that this is empirically derived; and also that no...
  • F
    fresh_42 reacted to blamocur's post in the thread I have no idea how to solve this... with Like Like.
    I'd look into Stirling's approximation.
  • blamocur
    I'd look into Stirling's approximation.
  • blamocur
    blamocur replied to the thread Can it be natural?.
    For some reason my more complete post couldn't be previewed, so I am giving up and posting an abridged version of a proof that the...
  • C
    cwb1328 replied to the thread How do I find v(t) from v(x)?.
    This equation is the Le Duc equation of interior ballistics. It is the space-velocity curve of a projectile whose acceleration is...
  • K
    khansaheb reacted to topsquark's post in the thread i posted two questions with Like Like.
    Put your statements between the text [ imath ] and [ /imath ] (no spaces.) \begin{pmatrix} ... \end{pmatrix} gives a matrix with...
  • K
    khansaheb replied to the thread How do I find v(t) from v(x)?.
    How was this equation [v=4212x/(x+0.5)] derived? Did you derive the equation or the equation was given to you ? What is the domain of V(x)?
  • C
    cwb1328 replied to the thread How do I find v(t) from v(x)?.
    Sure, the equation v=4212x/(x+0.5) represents a velocity equation for a projectile being accelerated, where 4212 is the theoretical max...
  • Dr.Peterson
    Dr.Peterson replied to the thread Basic Calculus.
    Of course, guessing what the actual problem is, is different from guessing a possible solution to a problem and checking whether it...
  • Dr.Peterson
    I think you need to turn your focus to your first attempt at this question...
  • M
    mario99 replied to the thread How do I find v(t) from v(x)?.
    Corrected Version Your first step is correct. But then you have jumped to a step that if someone from the Chess (Math) Community sees...
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