13. Find Linear representation (Linearization): f(to) × L(t) of the following function a given point to: f(t) = Vt2 + 9, when t = -4

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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Please find linear representation (Linearization): f(t⁰) ~ L(t) of the following function at given point t⁰:
13. Find Linear representation (Linearization): f(to) × L(t) of the following function at
given point to:
f(t) = Vt2 + 9,
when t = –4
Transcribed Image Text:13. Find Linear representation (Linearization): f(to) × L(t) of the following function at given point to: f(t) = Vt2 + 9, when t = –4
Expert Solution
Step 1

Formula for linear representation - 

L(t) = f(a) + f'(a)(t-a) 

Here, a= -4 

f(t) = √t2+9 

f'(t) = 2t/(2√t2+9)

 

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