4. Find the Linearization of f(x) = sinx at a = . Provide your answer as L(x) =? 5. Use Linear Approximation to estimate e(-0.01). Provide your answer in 2 decimal places. Do not use a calculator. Show work for credit. 6. Calculate the locations of maximums and minimums of the following functions: Show work in details. f(x) = x³ 3x + 2 • f(x)=x¹8x² +3

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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Solve 4,5&6
4. Find the Linearization of f(x) = sinx at a = . Provide your answer as L(x) =?
5. Use Linear Approximation to estimate e(-0.01). Provide your answer in 2 decimal places. Do not use a calculator. Show work for credit.
6. Calculate the locations of maximums and minimums of the following functions: Show work in details.
• f(x) = x³ - 3x + 2
• f(x)=x²-8² +3
7. Find the exact x-value where the function f(x) = x + ln (x² - 1) attains a maximum value. An estimated answer or a calculator answer will not earn any credit.
8. Using the Mean Value Theorem and Rolle's Theorem, show that³+x-1=0) has exactly one real root.
9. If f(1) = 10 and f'(x) ≥ 2 for 1 ≤ x ≤ 4, how small canf (4) possibly be?
10. The graph of a function is given below. Determine the intervals on which the function i concave up and concave down.
you
Transcribed Image Text:4. Find the Linearization of f(x) = sinx at a = . Provide your answer as L(x) =? 5. Use Linear Approximation to estimate e(-0.01). Provide your answer in 2 decimal places. Do not use a calculator. Show work for credit. 6. Calculate the locations of maximums and minimums of the following functions: Show work in details. • f(x) = x³ - 3x + 2 • f(x)=x²-8² +3 7. Find the exact x-value where the function f(x) = x + ln (x² - 1) attains a maximum value. An estimated answer or a calculator answer will not earn any credit. 8. Using the Mean Value Theorem and Rolle's Theorem, show that³+x-1=0) has exactly one real root. 9. If f(1) = 10 and f'(x) ≥ 2 for 1 ≤ x ≤ 4, how small canf (4) possibly be? 10. The graph of a function is given below. Determine the intervals on which the function i concave up and concave down. you
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