#2) f(x) = x* – 2x3 + 2x2 – 1

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.6: Analyzing Graphs Of Functions
Problem 6ECP: Find the average rates of change of f(x)=x2+2x (a) from x1=3 to x2=2 and (b) from x1=2 to x2=0.
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2/3
Find for 7x3y5 = -8
%3D
dx
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 derivat
applicable, to find the extrema points.
x2
Find the extrema points for the function f(x) =
using the second de
1+x
For #6 and # 7, use the second derivative test to determine where the cur
upward and/or concave downward. Identify and points of inflection, if the
# 6) f(x) = x* - x³ – 6x² – 3x + 3
#7) f (x) = Vx
%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 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.
(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:Find for 7x3y5 = -8 %3D dx 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 derivat applicable, to find the extrema points. x2 Find the extrema points for the function f(x) = using the second de 1+x For #6 and # 7, use the second derivative test to determine where the cur upward and/or concave downward. Identify and points of inflection, if the # 6) f(x) = x* - x³ – 6x² – 3x + 3 #7) f (x) = Vx %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 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. (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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