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Re: Maple Player

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Watson <wingwatson7@gmail.com> writes:

> (a) Give approximate values for log10(exp(100)) and
> log10(exp(exp(100)). You may have to help Maple by simplifying the
> second expression before calculating. How many decimal digits are
> required to express each exponential to the nearest integer?  (b) If
> you want to know sin(x) within 0.5 of its true value, how accurately
> do you need to know x? Approximate, as best you can, the value of
> sin(exp(100)) and sin(exp(exp(100)). Tell me how good these estimates
> are and explain any difficulties you encountered.
>
>
> i do not know how to solve this problem, could you help me to solve this by maple?


I'm not entirely sure the question.  For (a), part 1, is it how 
many digits to express exp(100) to the neareset integer?  That is
easy enough

   evalf(exp(100)) --> .2688117142e44

so it would take 44 digits.  However, you won't be able to use
the same approach for the second part.  Note, though (which is the 
point of the assignment) that 

   ceil(log10(exp(100)));

                       44

Similarly 

 ceil(log10(exp(exp(100))));
                 11674344414002886632798167381008836736851881

So I expect exp(exp(100)) to require that many digits.

-- 
Joe Riel

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Maple Player acer <maple@rogers.com> - 2013-05-15 20:16 -0700
  Re: Maple Player Watson <wingwatson7@gmail.com> - 2013-12-05 17:07 -0800
    Re: Maple Player "Nasser M. Abbasi" <nma@12000.org> - 2013-12-05 19:24 -0600
      Re: Maple Player Watson <wingwatson7@gmail.com> - 2013-12-05 17:41 -0800
    Re: Maple Player Joe Riel <joer@san.rr.com> - 2013-12-05 18:28 -0800
      Re: Maple Player Watson <wingwatson7@gmail.com> - 2013-12-06 12:45 -0800
        Re: Maple Player Watson <wingwatson7@gmail.com> - 2013-12-06 13:04 -0800
          Re: Maple Player Watson <wingwatson7@gmail.com> - 2013-12-06 13:33 -0800

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