Given the function belowf(x) = V-162x³ + 891I|Find the equation of the tangent line to the graph of the function at x = 1. Answer inmx + b form.L(a) =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 thelinear approximation?Answer as a positive value only.-Terror| =(Approximate to at least 5 decimal places.)

Answered: Given the function below

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Given the function below

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter2: Graphical And Tabular Analysis

Section2.1: Tables And Trends

Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...

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Question

Given the function below
f(x) = V-162x³ + 891
I|
Find the equation of the tangent line to the graph of the function at x = 1. Answer in
mx + b form.
L(a) =
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.-
Terror| =
(Approximate to at least 5 decimal places.)

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