6/7 #5)Find the extrema points for the function f(x) = using the second derivative test.For #6 and # 7, use the second derivative test to determine where the curve is concaveupward and/or concave downward. Identify and points of inflection, if they exists#6) f(x) = x* – x³ – 6x? – 3x + 3%3D#7) f(x) =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 jerseysshould Rosewood produce per run to minimize average cost? What is the average cost#8)Suppose a flu epidemic hits a city in such a way that the healthy population seems to bfollowing the function P(t) = 100,000 – 60t² + t³, where t is the number of daysafter 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?

Please see the explanation below.....

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 %3D #7) f(x) = Vx

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 %3D #7) f(x) = Vx

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter4: Calculating The Derivative

Section4.2: Derivatives Of Products And Quotients

Problem 35E

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Question

6/7

#5)
Find the extrema points for the function f(x) = using the second derivative test.
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 – 6x? – 3x + 3
%3D
#7) f(x) =
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
#8)
Suppose a flu epidemic hits a city in such a way that the healthy population seems to b
following the function P(t) = 100,000 – 60t² + t³, where t is the number of days
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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