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Find the linear approximation of the function g(x) = V1 + x at a = 0. g(x) = Use it to approximate the numbers 0.95 and 1.1. (Round your answers to three decimal places.) 0.95 V1.1 Illustrate by graphing g and the tangent line.

Find the linear approximation of the function g(x) = V1 + x at a = 0. g(x) = Use it to approximate the numbers 0.95 and 1.1. (Round your answers to three decimal places.) 0.95 V1.1 Illustrate by graphing g and the tangent line.

Advanced Engineering Mathematics
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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3 Find the linear approximation of the function g(x) = 1 + x at a = 0. g(x)≈ Use it to approximate the numbers 0.95 and 0.95 3 3 1.12 Illustrate by graphing g and the tangent line. y 3 1.1. (Round your answers to three decimal places.) y 4
Transcribed Image Text:3 Find the linear approximation of the function g(x) = 1 + x at a = 0. g(x)≈ Use it to approximate the numbers 0.95 and 0.95 3 3 1.12 Illustrate by graphing g and the tangent line. y 3 1.1. (Round your answers to three decimal places.) y 4
Expert Solution
Step 1: Write the given information:

The function g open parentheses x close parentheses equals cube root of 1 plus x end root. 

To Find:

a) Linear approximation.

b) Approximate cube root of 0.95 end root.

c) Approximate cube root of 1.1 end root.

d) Graph the function g.

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