Given the function below f(x) = √-324x³ + 1053 Find the equation of the tangent line to the graph of the function at a = 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 f(1.1). What is the error between the function value and the linear approximation? Answer as a positive value only. Terror] (Approximate to at least 5 decimal places.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 21T
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Given the function below
f(x) = √-324x³ + 1053
Find the equation of the tangent line to the graph of the function at a = 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 f(1.1). What is the error between the function value and the linear
approximation?
Answer as a positive value only.
Terror]
(Approximate to at least 5 decimal places.)
Transcribed Image Text:Given the function below f(x) = √-324x³ + 1053 Find the equation of the tangent line to the graph of the function at a = 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 f(1.1). What is the error between the function value and the linear approximation? Answer as a positive value only. Terror] (Approximate to at least 5 decimal places.)
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