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#11Determine the conditions on parameter k such that the function f(x) = 2x +4 X2-K² will have critical points b.) Select a value for k that satisfies the constraint established in part a, and sketch the section of the curve that lies in the domain IxI≤k #13.) Determine the critical numbers and the intervals on which g(x)=(x-4)² is increasing OR or decreasing #14. Use the second derivative test to identify all maximum and minimum values of f(x) = x³ + ³x² - 7x +5 on the interval -4≤x≤3

#11Determine the conditions on parameter k such that the function f(x) = 2x +4 X2-K² will have critical points b.) Select a value for k that satisfies the constraint established in part a, and sketch the section of the curve that lies in the domain IxI≤k #13.) Determine the critical numbers and the intervals on which g(x)=(x-4)² is increasing OR or decreasing #14. Use the second derivative test to identify all maximum and minimum values of f(x) = x³ + ³x² - 7x +5 on the interval -4≤x≤3

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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opg.216-219, #1 - 4,8 #Determine the conditions on parameter k such that the function 2x +4 f(x) = will have critical points x2-k² b) Select a value for k that satisfies the constraint established in part a, and sketch the section of the curve that lies in the domain IxI≤k #13.) Determine the critical numbers and the intervals on which g(x) = (x²-4)² is increasing or decreasing #14. Use the second derivative test to identify all maximum and minimum of f(x) = x³ + x² - 7x +5 Values on the interval - 4≤x≤3 opg 220, #2.) a.) Determine the critical points of the function g(x)=2x4 -8x³ - x² + 6x b) Classify each critical point in part a.
Transcribed Image Text:opg.216-219, #1 - 4,8 #Determine the conditions on parameter k such that the function 2x +4 f(x) = will have critical points x2-k² b) Select a value for k that satisfies the constraint established in part a, and sketch the section of the curve that lies in the domain IxI≤k #13.) Determine the critical numbers and the intervals on which g(x) = (x²-4)² is increasing or decreasing #14. Use the second derivative test to identify all maximum and minimum of f(x) = x³ + x² - 7x +5 Values on the interval - 4≤x≤3 opg 220, #2.) a.) Determine the critical points of the function g(x)=2x4 -8x³ - x² + 6x b) Classify each critical point in part a.
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