anonymous
  • anonymous
Calculus Help!! Find the fifth degree Taylor polynomial approximation T _{5}(x) centered at a=0 to the function f(x)=cos(x);f(x)=sin(x);f(x)=e^{x}
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
\[T _{5}(x)\]
anonymous
  • anonymous
f(x)=cos(x) f(x)=sin(x) \[f(x)=e ^{x}\]
anonymous
  • anonymous
i tried put 1,0,1 and it is not correct!!

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anonymous
  • anonymous
i tried to put x^8/8!,x^9/9!,x^4/4! and it is not correct either!!
anonymous
  • anonymous
http://www.math.smith.edu/~rhaas/m114-00/chp4taylor.pdf
anonymous
  • anonymous
for cos(x),i put 1-x^2/2!+x^4/4!-x^6/6! and it is wrong
anonymous
  • anonymous
should i put one more term?
anonymous
  • anonymous
there sould be 6 term..
anonymous
  • anonymous
when should i put 6 terms and when should i put 5 terms and when should i put 4 terms?
anonymous
  • anonymous
is it because it is an even power function?
anonymous
  • anonymous
degree means how many derivation you need to have, so in your case 5 dervative plus f(x)
anonymous
  • anonymous
Thanks a lot!!
anonymous
  • anonymous
but how come for sin(x) ,it is x-x^3/3!+x^5/5!-x^7/7!
anonymous
  • anonymous
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anonymous
  • anonymous
Thank you!!
anonymous
  • anonymous
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anonymous
  • anonymous
yw
anonymous
  • anonymous
i am sorry.can you reattach it.it is kind of small that i can't really see==
anonymous
  • anonymous
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anonymous
  • anonymous
way better now!!thanks!!
anonymous
  • anonymous
now you can solve for cosx right
anonymous
  • anonymous
yea.I got it!!Thanks a lot!!
anonymous
  • anonymous
you can check your solution here, look at trigonometric func.. http://en.wikipedia.org/wiki/Taylor_series
anonymous
  • anonymous
Thank you so much!! you are awesome=))
anonymous
  • anonymous
np (:

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