Use linear approximation, i.e. the tangent line, to approximate Let f(x) = X 1 0.501 and find the equation of the tangent line to f(x) at a "nice" point near 0.501. c) Now use this equation to approximate as follows: a) What is a "nice" x-value, (one that is easy to evaluate), close to 0.501? b) What is the linearization (tangent line equation) at that x-value? (Use L(x) ) 1 0.501
Use linear approximation, i.e. the tangent line, to approximate Let f(x) = X 1 0.501 and find the equation of the tangent line to f(x) at a "nice" point near 0.501. c) Now use this equation to approximate as follows: a) What is a "nice" x-value, (one that is easy to evaluate), close to 0.501? b) What is the linearization (tangent line equation) at that x-value? (Use L(x) ) 1 0.501
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Use linear approximation, i.e. the tangent line, to approximate
Let f(x)
-
X
1
and find the equation of the tangent line to f(x) at a "nice" point near 0.501.
1
0.501
c) Now use this equation to approximate
as follows:
a) What is a "nice" x-value, (one that is easy to evaluate), close to 0.501 ?
b) What is the linearization (tangent line equation) at that x-value? (Use L(x) )
1
0.501
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