Use a linear approximation to estimate V8.05.² Show relevant work to explain yourreasoning.

Answered: Use a linear approximation to estimate…

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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Use a linear approximation to estimate V8.05.² Show relevant work to explain your
reasoning.

Expert Solution

Step 1: Given.

Linearization: If $y = f (x)$ is differentiable function at $x = a$ , then linear approximation at the point $(a, f (a))$ is given by $f (x) \approx f (a) + f' (a) (x - a)$ .

Given: $\sqrt[3]{8.05}$

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