Let f ∈ C[a, b] be a function whose derivative exists on (a, b). Suppose f is to be evaluated at x0 in (a, b), but instead of computing the actual value f (x0), the approximate value, (x0), is the actual value of f at x0 + , that is, (x0) = f (x0 + ().
a. Use the Mean Value Theorem 1.8 to estimate the absolute error |f (x0) − (x0)| and the relative error |f (x0) − (x0)|/|f (x0)|, assuming f (x0) ≠ 0.
b. If ( = 5 × 10−6 and x0 = 1, find bounds for the absolute and relative errors for
i. f (x) = ex
ii. f (x) = sin x
c. Repeat part (b) with ( = (5 × 10−6)x0 and x0 = 10.
1) You can buy this solution for 0,5$.
2) The solution will be in 8 hours.
3) If you want the solution will be free for all following visitors.
4) The link for payment paypal.me/0,5usd
5) After payment, please report the number of the task to the oneplus2014@gmail.com
New search. (Also 1294 free access solutions)
Use search in keywords. (words through a space in any order)