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Given the function below f(x)=√-18x³ +45 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 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.)

Given the function below f(x)=√-18x³ +45 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 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.)

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section: Chapter Questions
Problem 30P: In this problem you are asked to find a function that models in real life situation and then use the...
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Question 6 Given the function below f(x) = -18x³ +45 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 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.)
Transcribed Image Text:Question 6 Given the function below f(x) = -18x³ +45 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 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.)
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