For #2 and # 3 use the first derivative test to find the extrema point(s). #2) f(x) = x* – 2x3 + 2x² – 1 8. (#3) f(x) = x + %3D %3D Given the function f(x) =x3 -x² + 2x - 1. Use the second derivativ %3D applicable, to find the extrema points. x2 Find the extrema points for the function f(x) = using the second deri 1+x For #6 and # 7, use the second derivative test to determine where the curve upward and/or concave downward. Identify and points of inflection, if thev #6) f(x) = x* - x³ – 6x² – 3x + 3 %3D #7) f(x) = V %3D Rosewood Clothing manufactures hockey jerseys for sale to college bookst (in dollars) for a run of x jerseys is C(x) = 2000 + 10x + 0.2x². How mar should Rosewood produce per run to minimize average cost? What is the %3D Suppose a flu epidemic hits a city in such a way that the healthy population following the function P(t) = 100,000 – 60t² + t3, where t is the numb after the onset of the epidemic. (a) For what time t is the population decreasing? (b) When will the population be a minimum? (c) What will this population be?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 15T
icon
Related questions
Question
#3
For #2 and # 3 use the first derivative test to find the extrema point(s).
#2) f(x) = x* - 2x³ + 2x² – 1
8.
(# 3) f(x) = x +
Given the function f(x) =x³ – x² + 2x – 1. Use the second derivative
applicable, to find the extrema points.
x2
Find the extrema points for the function f (x) =
using the second deriv
1+x
%3D
For #6 and #7, use the second derivative test to determine where the curve
upward and/or concave downward. Identify and points of inflection, if they
#6) f(x) = x* – x³ – 6x² – 3x +3
%3D
|
#7) f(x) = Vx
Rosewood Clothing manufactures hockey jerseys for sale to college booksto
(in dollars) for a run of x jerseys is C(x) = 2000 + 10x + 0.2x2. How man
should Rosewood produce per run to minimize average cost? What is the a
%3D
Suppose a flu epidemic hits a city in such a way that the healthy population
following the function P(t) = 100,000 – 60t² + t³, where t is the numbe
after the onset of the epidemic.
%3D
(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:For #2 and # 3 use the first derivative test to find the extrema point(s). #2) f(x) = x* - 2x³ + 2x² – 1 8. (# 3) f(x) = x + Given the function f(x) =x³ – x² + 2x – 1. Use the second derivative applicable, to find the extrema points. x2 Find the extrema points for the function f (x) = using the second deriv 1+x %3D For #6 and #7, use the second derivative test to determine where the curve upward and/or concave downward. Identify and points of inflection, if they #6) f(x) = x* – x³ – 6x² – 3x +3 %3D | #7) f(x) = Vx Rosewood Clothing manufactures hockey jerseys for sale to college booksto (in dollars) for a run of x jerseys is C(x) = 2000 + 10x + 0.2x2. How man should Rosewood produce per run to minimize average cost? What is the a %3D Suppose a flu epidemic hits a city in such a way that the healthy population following the function P(t) = 100,000 – 60t² + t³, where t is the numbe after the onset of the epidemic. %3D (a) For what time t is the population decreasing? (b) When will the population be a minimum? (c) What will this population be?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning