3. (a) Find the linearization (liriear approximation) L(x) of f(x) = sin x at use it to approximate Sin¹ (0.01). and Use Sin¹ (0) = 0 (b) Find the equation to tangent line at x=0 for x²y + xy² = y using implicit differentiation. 0=0

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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3 (a) Find the linearization (liriear approximation)
sin
at a = 0
use it to
L(x) of f(x) =
approximate Sin¹ (0.01).
x
Use
and
Sin ¹ (0) = 0
x=0 for
(6) Find the equation to tangerat live at
x²y + xy² = y using implicit differentiation.
Transcribed Image Text:3 (a) Find the linearization (liriear approximation) sin at a = 0 use it to L(x) of f(x) = approximate Sin¹ (0.01). x Use and Sin ¹ (0) = 0 x=0 for (6) Find the equation to tangerat live at x²y + xy² = y using implicit differentiation.
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