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

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

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 54E
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5x* - 2x + 2x2 – 1 (#3) f(x) = x + # 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* –- x³ – 6x2 – 3x + 3 #7) f (x) = V # 8) Rosewood Clothing manufactures hockey jerseys for sale to college bookstores. Its cost (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? #9) Suppose a flu epidemic hits a city in such a way that the healthy population seems to be following the function P(t) after the onset of the epidemic. = 100,000 – 60t² + t³, where t is the number of days (a) For what time t is the population decreasing? (b) When will the population be a minimum? (c) What will this population be?
Transcribed Image Text:5x* - 2x + 2x2 – 1 (#3) f(x) = x + # 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* –- x³ – 6x2 – 3x + 3 #7) f (x) = V # 8) Rosewood Clothing manufactures hockey jerseys for sale to college bookstores. Its cost (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? #9) Suppose a flu epidemic hits a city in such a way that the healthy population seems to be following the function P(t) after the onset of the epidemic. = 100,000 – 60t² + t³, where t is the number of days (a) For what time t is the population decreasing? (b) When will the population be a minimum? (c) What will this population be?
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