Question 6. Using a suitable linearization to approxi- 1 show that mate 1.02 (i) The approximate value is 0.98. (HINT: Linearize f(x) 1 about a suitable tabular point) 1 (ii) The error is at most 0.004. That is E (0.096, 1.004). 1.02

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
Question
Question 6.
Using a suitable linearization to approxi-
1
show that
mate
1.02'
(i) The approximate value is 0.98.
(HINT: Linearize f(x)
1
=- about a suitable tabular point)
1
(ii) The error is at most 0.004. That is
E (0.096, 1.004).
1.02
Transcribed Image Text:Question 6. Using a suitable linearization to approxi- 1 show that mate 1.02' (i) The approximate value is 0.98. (HINT: Linearize f(x) 1 =- about a suitable tabular point) 1 (ii) The error is at most 0.004. That is E (0.096, 1.004). 1.02
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