By using this site, you agree to our updated Privacy Policy and our Terms of Use. Manage your Cookies Settings.
446,134 Members | 1,742 Online
Bytes IT Community
+ Ask a Question
Need help? Post your question and get tips & solutions from a community of 446,134 IT Pros & Developers. It's quick & easy.

Errors and approximation

P: 5
hi how are you ?

i have no idea to get it..please help me


Xa=3.14 and Ya=2.685 are correctly rounded to the numbers of digits shown.
Estimate the errors in the function value sin(XaYa) in terms of the errors in Xa and Ya . Bound the relative errors.

thanks
Jun 7 '07 #1
Share this Question
Share on Google+
2 Replies


10K+
P: 13,264
hi how are you ?

i have no idea to get it..please help me


Xa=3.14 and Ya=2.685 are correctly rounded to the numbers of digits shown.
Estimate the errors in the function value sin(XaYa) in terms of the errors in Xa and Ya . Bound the relative errors.

thanks
What have you done so far? Please see the posting guidelines.


P.S Changed thread title.
Jun 7 '07 #2

emaghero
P: 85
hi how are you ?

i have no idea to get it..please help me


Xa=3.14 and Ya=2.685 are correctly rounded to the numbers of digits shown.
Estimate the errors in the function value sin(XaYa) in terms of the errors in Xa and Ya . Bound the relative errors.

thanks
Evaluate the Taylor Series of the function f(x) = Sin(x). Google it to find out how or check the link I gave below. The Taylor Series gives an accurate approximation to the function and you also get a bound for the error in the approximation. The series can be coded in C++ as can the error approximation. The more terms you take in the series the better the approximation. A good place to start learning about Taylor Series is any Calculus text book you can get your hands on, otherwise I'd say take a look at the following link:

http://mathworld.wolfram.com/TaylorSeries.html

Remember, if you want an order n approximation to the function the error is given by the (n+1)st term.

Happy Trails

emaghero
Jun 8 '07 #3

Post your reply

Sign in to post your reply or Sign up for a free account.