Find the local linear approximation of the function f(x) = /3+a at zo = 1, and use it to approximate v3.9 and V4.1. (a) f(z) = /3+ z 2/3+x (b) V3.9 2.2 (c) V4.1 = 2.025 For parts (b) and (c), you should enter your answer as a fraction. If you enter a decimal, make sure that it is correct to at least six decimal places.

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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Find the local linear approximation of the function f(x) = v3+a at zo = 1, and use it to approximate v3.9 and v4.1.
%3|
(a) f(x) = V3+¤z
2/3+x
(b) V3.9 = 2.2
(c) V4.1 2.025
For parts (b) and (c), you should enter your answer as a fraction. If you enter a decimal, make sure that it is correct to at least six
decimal places.
Transcribed Image Text:Find the local linear approximation of the function f(x) = v3+a at zo = 1, and use it to approximate v3.9 and v4.1. %3| (a) f(x) = V3+¤z 2/3+x (b) V3.9 = 2.2 (c) V4.1 2.025 For parts (b) and (c), you should enter your answer as a fraction. If you enter a decimal, make sure that it is correct to at least six decimal places.
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