Find the linear approximation for f(x)=/1+ x at a=0. Use this linearization to approximate V1.1 O L(æ) = }¤+1 V1.1 ~ 1.0488 O L(x) = a +1 V1.1 - 1.55 O L(x) = w +1. V1.1 - 1.05 O L(1) = a+1 V1.1 ~ 1.5

College Algebra (MindTap Course List)
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Author:R. David Gustafson, Jeff Hughes
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Chapter2: Functions And Graphs
Section2.6: Proportion And Variation
Problem 17E: Find the constant of proportionality. y is directly proportional to x. If x=30, then y=15.
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Find the linear approximation for f(x)=V1+ x at a=0. Use this linearization to approximate
V1.1
O L(x) = ;x +1
V1.1 - 1.0488
O L(z) =D 글z + 1
2
V1.1 1.55
O L(x) = x + 1.
V1.1 - 1.05
O L(x) = x + 1
2
V1.1 - 1.5
Transcribed Image Text:Find the linear approximation for f(x)=V1+ x at a=0. Use this linearization to approximate V1.1 O L(x) = ;x +1 V1.1 - 1.0488 O L(z) =D 글z + 1 2 V1.1 1.55 O L(x) = x + 1. V1.1 - 1.05 O L(x) = x + 1 2 V1.1 - 1.5
Expert Solution
Step 1

The linear approximation of f(x) at x= a is given by

L (x) = f(a) + f '(x)(x - a)

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