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CalculusCalculus (MindTap Course List)8th Edition

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Chapter 3.3, Problem 31E
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Calculus (MindTap Course List)

8th Edition
James Stewart
ISBN: 9781285740621

Solutions

Chapter
Section
Problem 1E
Problem 2E
Problem 3E
Problem 4E
Problem 5E
Problem 6E
Problem 7E
Problem 8E
Problem 9E
Problem 10E
Problem 11E
Problem 12E
Problem 13E
Problem 14E
Problem 15E
Problem 16E
Problem 17E
Problem 18E
Problem 19E
Problem 20E
Problem 21E
Problem 22E
Problem 23E
Problem 24E
Problem 25E
Problem 26E
Problem 27E
Problem 28E
Problem 29E
Problem 30E
Problem 31E
Problem 32E
Problem 33E
Problem 34E
Problem 35E
Problem 36E
Problem 37E
Problem 38E
Problem 39E
Problem 40E
Problem 41E
Problem 42E
Problem 43E
Problem 44E
Problem 45E
Problem 46E
Problem 47E
Problem 48E
Problem 49E
Problem 50E
Problem 51E
Problem 52E
Problem 53E
Problem 54E
Problem 55E
Problem 56E
Problem 57E
Problem 58E
Problem 59E
Problem 60E
Problem 61E
Problem 62E
Problem 63E
Problem 64E
Problem 65E
Problem 66E
Problem 67E
Problem 68E
Problem 69E
Problem 70E
Problem 71E
Problem 72E
Problem 73E
Problem 74E
Problem 75E
Problem 76E
Problem 77E
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Calculus (MindTap Course List)

8th Edition
James Stewart
ISBN: 9781285740621
Textbook Problem

31-32 The graph of the derivative f′ of a continuous function f is shown.

(a) On what intervals is f increasing? Decreasing?

(b) At what values of x does f have a local maximum? Local minimum?

(c) On what intervals is f concave upward? Concave downward?

(d) State the x-coordinate(s) of the point(s) of inflection.

(e) Assuming that f ( 0 ) = 0 , sketch a graph of f.

Chapter 3.3, Problem 31E, 31-32 The graph of the derivative f of a continuous function f is shown. a On what intervals is f

To determine

(a)

To find:

The interval on which f is increasing and decreasing

Explanation

1) Concept:

Increasing or Decreasing test:

If f'x>0 then f is increasing

If f'x<0 then f is decreasing

2) Calculation:

The given graphis a graph of f'(x)

Therefore, by using Increasing or decreasing test if f'x>0 then f is increasing and if

f'x<0 then f is decreasing

Now, from the given graph we find f'x>0 on the interval 0, 2∪4, 6∪8, ∞

To determine

(b)

To find:

The values of x at which f has local maximum and local minimum

To determine

(c)

To find:

On what interval f is concave upward and concave downward

To determine

(d)

To state:

The x-coordinate(s) of the point(s) of inflection

To determine

(e)

To sketch:

The graph of f assuming that f0=0

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Calculus: Early Transcendental Functions (MindTap Course List)

In Exercises 33 to 36, find the value of the indicated variable for each given formula. Y,ifm=YyXx,m=32,y=1,X=2...

Elementary Geometry for College Students

SELF-STORAGE UNITS LA Self Storage wishes to construct a facility comprising storage units of four different si...

Finite Mathematics for the Managerial, Life, and Social Sciences

Centripetal Force An object of mass m moves at a constant speed v in a circular path of radius v according to t...

Multivariable Calculus

Sketching a Surface in SpaceIn Exercises 4958, describe and sketch the surface. y=cosz

Calculus

Spherical-to-Rectangular ConversionIn Exercises 5158, find an equation in rectangular coordinates for the surfa...

Calculus (MindTap Course List)

A sample containing years to maturity and yield (%) for 40 corporate bonds is contained in the data file named ...

STATISTICS F/BUSINESS+ECONOMICS-TEXT

Identify the statistical techniques that are appropriate for each nonexperimental, quasi-experimental, and deve...

Research Methods for the Behavioral Sciences (MindTap Course List)

Simple random sampling was used to obtain a sample of n = 100 elements from a population of N = 1000. The sampl...

Statistics for Business & Economics, Revised (MindTap Course List)

Perform the operations and simplify. z+4z-6

College Algebra (MindTap Course List)

Express each area as indicated. Round each answer to the same number of significant digits as in the original q...

Mathematics For Machine Technology

Under what circumstances is a stratified random sample preferred to a simple random sample?

Research Methods for the Behavioral Sciences (MindTap Course List)

A box contains five slips of paper, marked 1, 1, 1, 10, and 25. The winner of a contest selects two slips of pa...

Introduction To Statistics And Data Analysis

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