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#4) Given the function f (x) =x³-x² +2x- 1. Use the second derivative test, where applicable, to find the extrema points.

#4) Given the function f (x) =x³-x² +2x- 1. Use the second derivative test, where applicable, to find the extrema points.

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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2" # 4) Given the function f (x) =x³ - x² + 2x - 1. Use the second derivative test, where applicable, to find the extrema points. #5) Find the extrema points for the function f(x) using the second derivative test. 1+x For #6 and #7, use the second derivative test to determine where the curve is concave upward and/or concave downward. Identify and points of inflection, if they exists #6) f(x) = x*- x - 6x2 - 3x +3 #7) f(x) = Vx # 8) (in dollars) for a run of x jerseys is C(x) = 2000 + 10x + 0.2x². How many jerseys should Rosewood produce per run to minimize average cost? What is the average cost? Rosewood Clothing manufactures hockey jerseys for sale to college bookstores. Its cost Suppose a flu epide following the function P(t) = 100,000 - 60t2 + t3, where t is the number of days after the onset of the epidemic. #9) hits a city in such a way that the healthy population seems to be (a) For what time t is the population decreasing? (b) When will the population be a minimum? (c) What will this population be? 2 Page 63°F C delete Inser end nom prt sc back DII F3 70
Transcribed Image Text:2" # 4) Given the function f (x) =x³ - x² + 2x - 1. Use the second derivative test, where applicable, to find the extrema points. #5) Find the extrema points for the function f(x) using the second derivative test. 1+x For #6 and #7, use the second derivative test to determine where the curve is concave upward and/or concave downward. Identify and points of inflection, if they exists #6) f(x) = x*- x - 6x2 - 3x +3 #7) f(x) = Vx # 8) (in dollars) for a run of x jerseys is C(x) = 2000 + 10x + 0.2x². How many jerseys should Rosewood produce per run to minimize average cost? What is the average cost? Rosewood Clothing manufactures hockey jerseys for sale to college bookstores. Its cost Suppose a flu epide following the function P(t) = 100,000 - 60t2 + t3, where t is the number of days after the onset of the epidemic. #9) hits a city in such a way that the healthy population seems to be (a) For what time t is the population decreasing? (b) When will the population be a minimum? (c) What will this population be? 2 Page 63°F C delete Inser end nom prt sc back DII F3 70
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