2. (a) Find the linear approximation to f(x) = 60x¹/³ around x = 27. (b) Find the quadratic approximation to the following function around x = 1: g(x) = ln(x) + x³ — ex−1 -

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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2. (a) Find the linear approximation to f(x) = 60x¹/³ around x = 27.
(b) Find the quadratic approximation to the following function around x = 1:
g(x) = ln(x) + x³ — ex−1
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Transcribed Image Text:2. (a) Find the linear approximation to f(x) = 60x¹/³ around x = 27. (b) Find the quadratic approximation to the following function around x = 1: g(x) = ln(x) + x³ — ex−1 -
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