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Math
CalculusSingle Variable Calculus: Early Transcendentals, Volume I8th Edition

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Chapter 4.1, Problem 73E
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Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

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Problem 1E
Problem 2E
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Problem 4E
Problem 5E
Problem 6E
Problem 7E
Problem 8E
Problem 9E
Problem 10E
Problem 11E
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Problem 13E
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Problem 15E
Problem 16E
Problem 17E
Problem 18E
Problem 19E
Problem 20E
Problem 21E
Problem 22E
Problem 23E
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Problem 28E
Problem 29E
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Problem 31E
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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
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Problem 49E
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Problem 53E
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Problem 55E
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Problem 57E
Problem 58E
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Problem 60E
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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
Problem 78E
Problem 79E
Problem 80E
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Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

The water level, measured in feet above mean sea level, of Lake Lanier in Georgia, USA, during 2012 can be modeled by the function

L ( t ) = 0.01441 t 3 − 0.4177 t 2 + 2.703 t + 1060.1

where t is measured in months since January 1, 2012. Estimate when the water level was highest during 2012.

To determine

To estimate: When the water level was highest during 2012 .

Explanation

Given:

The function of the water level measured in feet above mean sea level, of Lake Lanier in Georgia, USA, is,

L(t)=0.01441t3−0.4177t2+2.703t+1060.1 ,

where t is measured in months from January 2012.

Calculation:

Consider an initial stage as zero.

Since the process duration is 12 months, the process interval will be [0,12] .

L(t)=0.01441t3−0.4177t2+2.703t+1060.1

Obtain the first derivative of the function L(t) .

L′(t)=3×0.01441t2−2×0.4177t+2.703=0.04323t2−0.8354t+2.703

Solve for t by using the quadratic formula.

t=−b±b2−4ac2a=0.8354±0.6979−4×0.04323×2.7032×0.4323=0.8354±0.23050.08646t=15.33; t=4.11

The critical point values are 15.33 and 4.11.

Notice that the point 15

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Chapter 4.1,
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Sect-4.1 P-1ESect-4.1 P-2ESect-4.1 P-3ESect-4.1 P-4ESect-4.1 P-5ESect-4.1 P-6ESect-4.1 P-7ESect-4.1 P-8ESect-4.1 P-9ESect-4.1 P-10E
Sect-4.1 P-11ESect-4.1 P-12ESect-4.1 P-13ESect-4.1 P-14ESect-4.1 P-15ESect-4.1 P-16ESect-4.1 P-17ESect-4.1 P-18ESect-4.1 P-19ESect-4.1 P-20ESect-4.1 P-21ESect-4.1 P-22ESect-4.1 P-23ESect-4.1 P-24ESect-4.1 P-25ESect-4.1 P-26ESect-4.1 P-27ESect-4.1 P-28ESect-4.1 P-29ESect-4.1 P-30ESect-4.1 P-31ESect-4.1 P-32ESect-4.1 P-33ESect-4.1 P-34ESect-4.1 P-35ESect-4.1 P-36ESect-4.1 P-37ESect-4.1 P-38ESect-4.1 P-39ESect-4.1 P-40ESect-4.1 P-41ESect-4.1 P-42ESect-4.1 P-43ESect-4.1 P-44ESect-4.1 P-45ESect-4.1 P-46ESect-4.1 P-47ESect-4.1 P-48ESect-4.1 P-49ESect-4.1 P-50ESect-4.1 P-51ESect-4.1 P-52ESect-4.1 P-53ESect-4.1 P-54ESect-4.1 P-55ESect-4.1 P-56ESect-4.1 P-57ESect-4.1 P-58ESect-4.1 P-59ESect-4.1 P-60ESect-4.1 P-61ESect-4.1 P-62ESect-4.1 P-63ESect-4.1 P-64ESect-4.1 P-65ESect-4.1 P-66ESect-4.1 P-67ESect-4.1 P-68ESect-4.1 P-69ESect-4.1 P-70ESect-4.1 P-71ESect-4.1 P-72ESect-4.1 P-73ESect-4.1 P-74ESect-4.1 P-75ESect-4.1 P-76ESect-4.1 P-77ESect-4.1 P-78ESect-4.1 P-79ESect-4.1 P-80ESect-4.2 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Single Variable Calculus: Early Transcendentals

Calculate the gross and net profits and the two profit margins for the following companies. Company Net Sales C...

Contemporary Mathematics for Business & Consumers

Find all six trigonometric functions of , if the given point is on the terminal side of . (1,3)

Trigonometry (MindTap Course List)

A wheel has equally spaced lug bolts. What is the measure of the central angle determined by two consecutive lu...

Elementary Geometry For College Students, 7e

Exercises List all elements in the group of symmetries of the given set. The letter T

Elements Of Modern Algebra

Solve each equation and check: 4y3(y2)=6(y+1)

Elementary Technical Mathematics

Finding a Differential In Exercises 1928, find the differential dy of the given function. y=x1x2

Calculus of a Single Variable

Work In Exercises 43-46, determine whether the work donealong the path is positive, negative, or zero. Explain.

Calculus: Early Transcendental Functions (MindTap Course List)

Given: ABDC DB bisects ADC m1=36 Find: mA

Elementary Geometry for College Students

Explain the meaning of a a shadow price. b a binding constraints.

Finite Mathematics for the Managerial, Life, and Social Sciences

Finding an indefinite Integral In Exercises 1546, find the indefinite integral. lnx2xdx

Calculus (MindTap Course List)

Using the power series for cos x, the sum of the series is: cos(0.0625) cos(0.25) cos(0.5)

Study Guide for Stewart's Multivariable Calculus, 8th

Sometimes, Always, or Never: The sum of two elementary functions is an elementary function.

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

Differentiating Maclaurin Polynomials (a) Differentiate the Maclaurin polynomial of degree 5 for f(x)=sinx and ...

Calculus

Evaluating a Line Integral In Exercises 1316, (a) find a piecewise smooth parametrization of the path C, and (b...

Multivariable Calculus

Describe how between-subjects designs are used to compare means and proportions for two or more groups, identif...

Research Methods for the Behavioral Sciences (MindTap Course List)

Find the zeros of each polynomial function and state the multiplicity of each. State whether the graph touches ...

College Algebra (MindTap Course List)

Using the symbolic representations p: I am an environmentalist. q: I recycle my aluminum cans. r: I recycle my ...

Mathematics: A Practical Odyssey

Define an operational definition and explain the purpose and the limitations of operational definitions.

Research Methods for the Behavioral Sciences (MindTap Course List)

Using the Table of Block Thicknesses for a Customary Gage Block Set, determine a combination of gage blocks for...

Mathematics For Machine Technology

The Wall Street Journal conducted a study of basketball spending at top colleges. A portion of the data showing...

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

Both a gravimetric and a spectrophotometric method are under consideration for determining phosphate content of...

Introduction To Statistics And Data Analysis

Brawdy Plastics, Inc., produces plastic seat belt retainers for General Motors at the Brawdy Plastics plant in ...

STATISTICS F/BUSINESS+ECONOMICS-TEXT

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