5 For #2 and # 3 use the first derivative test to find the extrema point(s).#2) f(x) = x* – 2x3 + 2x² – 1(#3) f(x) = x +#4)Given the function f (x) =x³ –x2 + 2x - 1. Use the second derivative test, wheapplicable, to find the extrema points.#5)Find the extrema points for the function f(x) =using the second derivative tes1+xx2For #6 and # 7, use the second derivative test to determine where the curve is concaupward and/or concave downward. Identify and points of inflection, if they exists#6) f(x) = x* - x³ – 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 jerseysshould Rosewood produce per run to minimize average cost? What is the average cRosewood Clothing manufactures hockey jerseys for sale to college bookstores. ItsSuppose a flu epidemic hits a city in such a way that the healthy population seemsfollowing the function P(t) = 100,000 - 60t² + t3, where t is the number of dayafter the onset of the epidemic.#9)(a) For what time t is the population decreasing?(b) When will the population be a minimum?(c) What will this population be?

Answered: # 5) Find the extrema points for the…

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# 5) Find the extrema points for the function f (x) = using the second derivative tes 1+x x2 %3D Fon HC

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section: Chapter Questions

Problem 15T

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Question

For #2 and # 3 use the first derivative test to find the extrema point(s).
#2) f(x) = x* – 2x3 + 2x² – 1
(#3) f(x) = x +
#4)
Given the function f (x) =x³ –x2 + 2x - 1. Use the second derivative test, whe
applicable, to find the extrema points.
#5)
Find the extrema points for the function f(x) =
using the second derivative tes
1+x
x2
For #6 and # 7, use the second derivative test to determine where the curve is conca
upward and/or concave downward. Identify and points of inflection, if they exists
#6) f(x) = x* - x³ – 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 c
Rosewood Clothing manufactures hockey jerseys for sale to college bookstores. Its
Suppose a flu epidemic hits a city in such a way that the healthy population seems
following the function P(t) = 100,000 - 60t² + t3, where t is the number of day
after the onset of the epidemic.
#9)
(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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