2"# 4)Given the function f (x) =x³ - x² + 2x - 1. Use the second derivative test, whereapplicable, to find the extrema points.#5)Find the extrema points for the function f(x)using the second derivative test.1+xFor #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*- 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 jerseysshould Rosewood produce per run to minimize average cost? What is the average cost?Rosewood Clothing manufactures hockey jerseys for sale to college bookstores. Its costSuppose a flu epidefollowing the function P(t) = 100,000 - 60t2 + t3, where t is the number of daysafter 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?2Page63°F CdeleteInserendnomprt scbackDIIF370

Since you have asked multiple question, we will solve the first question for you as per our guide…

Answered: #4) Given the function f (x) =x³-x²…

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter4: Polynomial And Rational Functions

Section4.2: Polynomial Functions

Problem 96E: What is the purpose of the Intermediate Value Theorem?

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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.