Problem

Explain, in terms of linear approximations or dif…

00:34

Problem 29 Easy Difficulty

Explain, in terms of linear approximations or differentials, why the approximation is reasonable.
$ \sec 0.08 \approx 1 $

Answer

0.08 is close to $0,$ approximating $\sec 0.08$ with 1 is reasonable.

Topics

Derivatives

Differentiation

Book Cover for Calculus: Early Tra…

Calculus: Early Transcendentals

Chapter 3

Differentiation Rules

Section 10

Linear Approximation and Differentials

Discussion

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Video Transcript

okay. We know that AF of axe is seeking acts. An after prom of axe is seeking acts times tangent acts. Therefore, we know that after prime of zero is seeking zero times 10 of zero, which is simply zero. Therefore, we know that seeking of 0.0 a is gonna be one plus zero points. Your rate time zero, which is seeking of zero points you're right, is just gonna be one.

Amrita B.

Topics

Derivatives

Differentiation

Book Cover for Calculus: Early Tra…

Calculus: Early Transcendentals

Chapter 3

Differentiation Rules

Section 10

Linear Approximation and Differentials

Top Calculus 1 / AB Educators

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