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Use Linear Approximation to estimate Af = f (3.01) – f(3) for f(x) = x*. (Use decimal notation. Give your answer to two decimal places.) Aƒ ¤

Use Linear Approximation to estimate Af = f (3.01) – f(3) for f(x) = x*. (Use decimal notation. Give your answer to two decimal places.) Aƒ ¤

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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Question
**Linear Approximation Problem** Use Linear Approximation to estimate \( \Delta f = f(3.01) - f(3) \) for \( f(x) = x^4 \). (Use decimal notation. Give your answer to two decimal places.) \[ \Delta f \approx \] *Note: Linear approximation is a method to estimate the change in the value of a function based on its derivative at a specific point.*
Transcribed Image Text:**Linear Approximation Problem** Use Linear Approximation to estimate \( \Delta f = f(3.01) - f(3) \) for \( f(x) = x^4 \). (Use decimal notation. Give your answer to two decimal places.) \[ \Delta f \approx \] *Note: Linear approximation is a method to estimate the change in the value of a function based on its derivative at a specific point.*
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