The third remainder for f (x) at x 0 is where c is a number between 0 and x Let f (x) cos x, as in Check Your Understanding Problem 11 1 (a) Find a number M such that f (4) (c) M for all values of c (b) In Check Your Understanding Problem 11 1, the error in using p 3 ( 12) as an approximation to f ...

The third remainder for f (x) at x = 0 is where c is a number between

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The third remainder for f (x) at x = 0 is

where c is a number between 0 and x. Let f (x) = cos x, as in Check Your Understanding Problem 11.1.

(a) Find a number M such that | f ⁽⁴⁾(c)| ≤ M for all values of c.

(b) In Check Your Understanding Problem 11.1, the error in using p₃(.12) as an approximation to f (.12) = cos .12 is given by R₃(.12). Show that this error does not exceed 8.64 * 10^-6.

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Calculus And Its Applications

ISBN: 9780134437774

14th Edition

Authors: Larry Goldstein, David Lay, David Schneider, Nakhle Asmar

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Question Posted: Mar 31, 2023 05:09 AM

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The third remainder for f (x) at x = 0 is where c is a number between

Question:

R3 (x) = ƒ(4) (c) 4! X

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a b If fx co...View the full answer

Calculus And Its Applications

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