Given the function below ✓-45x³ + 72 Find the equation of the tangent line to the graph of the function at x = 1. Answer in mx + b form. L(x): = f(x) Use the tangent line to approximate f(1.1). L(1.1) = = Compute the actual value of f(1.1). What is the error between the function value and the linear approximation? Answer as a positive value only. [error] ≈ (Approximate to at least 5 decimal places.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 5T
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Given the function below
f(x) = 3−45x³ + 72
Find the equation of the tangent line to the graph of the function at x = 1. Answer in mx + b form.
L(x)
-
Use the tangent line to approximate ƒ(1.1).
L(1.1) =
=
Compute the actual value of ƒ(1.1). What is the error between the function value and the linear
approximation?
Answer as a positive value only.
error
(Approximate to at least 5 decimal places.)
Transcribed Image Text:Given the function below f(x) = 3−45x³ + 72 Find the equation of the tangent line to the graph of the function at x = 1. Answer in mx + b form. L(x) - Use the tangent line to approximate ƒ(1.1). L(1.1) = = Compute the actual value of ƒ(1.1). What is the error between the function value and the linear approximation? Answer as a positive value only. error (Approximate to at least 5 decimal places.)
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