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Use a linear approximation (or differentials) to estimate the given number to the nearest hundredth. Start by defining an appropriate f(x) and then use y yo+dy where the differential dy gives the change along the tangent line at a convenient nearby point. (a) sin(3) (b) V4.1

Use a linear approximation (or differentials) to estimate the given number to the nearest hundredth. Start by defining an appropriate f(x) and then use y yo+dy where the differential dy gives the change along the tangent line at a convenient nearby point. (a) sin(3) (b) V4.1

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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Use a linear approximation (or differentials) to estimate the given number to the nearest hundredth. Start by defining an appropriate \( f(x) \) and then use \( y \approx y_0 + dy \) where the differential \( dy \) gives the change along the tangent line at a convenient nearby point. (a) \( \sin(3) \) (b) \( \sqrt{4.1} \)
Transcribed Image Text:Use a linear approximation (or differentials) to estimate the given number to the nearest hundredth. Start by defining an appropriate \( f(x) \) and then use \( y \approx y_0 + dy \) where the differential \( dy \) gives the change along the tangent line at a convenient nearby point. (a) \( \sin(3) \) (b) \( \sqrt{4.1} \)
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