Use linear approximation, i.e. the tangent line, to approximate 27.2 as follows: Let f(x) = Vx. The equation of the tangent line to f(x) at x : 27 can be written in the form y = mx + b where m is: 0.037037037 and where b is: 2.000000001 Using this, we find our approximation for V27.2 is 2.111384789 X o 3.007407407407

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.6: Proportion And Variation
Problem 18E
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Use linear approximation, i.e. the tangent line, to approximate V27.2 as follows:
Let f(x)
Va. The equation of the tangent line to f(x) at x
:27 can be written in the form
Y :
= mx + 6
where m is: 0.037037037
and where b is: 2.000000001
Using this, we find our approximation for V27.2 is 2.111384789
X o 3.0074074074074
Transcribed Image Text:Use linear approximation, i.e. the tangent line, to approximate V27.2 as follows: Let f(x) Va. The equation of the tangent line to f(x) at x :27 can be written in the form Y : = mx + 6 where m is: 0.037037037 and where b is: 2.000000001 Using this, we find our approximation for V27.2 is 2.111384789 X o 3.0074074074074
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