Let f(x)=(x−1)^5 on the interval [0,4] . a) Calculate: f′′(x)= b) What is the maximum value of |f′′(x)| on the interval [0,4]? c) The bound on the error of Mn, expressed as a function of n, is then B(n)= d) So, to ensure that the error is at most 10−2 , it is necessary that B(n)≤10−2. This implies that we must choose n=
Let f(x)=(x−1)^5 on the interval [0,4] . a) Calculate: f′′(x)= b) What is the maximum value of |f′′(x)| on the interval [0,4]? c) The bound on the error of Mn, expressed as a function of n, is then B(n)= d) So, to ensure that the error is at most 10−2 , it is necessary that B(n)≤10−2. This implies that we must choose n=
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 21T
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Question
Let f(x)=(x−1)^5 on the interval [0,4]
.
a) Calculate: f′′(x)=
b) What is the maximum value of |f′′(x)| on the interval [0,4]?
c) The bound on the error of Mn, expressed as a function of n, is then B(n)=
d) So, to ensure that the error is at most 10−2 , it is necessary that B(n)≤10−2. This implies that we must choose n=
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