## Solutions for Calculus, Single Variable: Early Transcendentals (3rd Edition)

Problem 1QC:

If f(x)=x22x, find f(1),f(x2),f(t), and f(p1).Problem 2QC:

State the domain and range of f(x)=(x2+1)1.Problem 3QC:

If f(x)=x2+1 and g(x)=x2, find fg and gf.Problem 4QC:

Refer to Figure 1.12. Find the hiker's average speed during the first mile of the trail and then...Problem 5QC:

Explain why the graph of a nonzero function is never symmetric with respect to the x-axis.Problem 1E:

Use the terms domain, range, independent variable, and dependent variable to explain how a function...Problem 2E:

Is the independent variable of a function associated with the domain or range? Is the dependent...Problem 5E:

Which statement about a function is true? (i) For each value of x in the domain, there corresponds...Problem 7E:

Determine the domain and range of f(x)=3x210.Problem 8E:

Domain in context Determine an appropriate domain of each function. Identify the independent and...Problem 9E:

Domain in context Determine an appropriate domain of each function. Identify the independent and...Problem 10E:

If f(x) = 1/(x3 + 1), what is f(2)? What is f(y2)?Problem 11E:

Let f(x)=2x+1 and g(x)=1/(x1). Simplify the expressions f(g(1/2)),g(f(4)), and g(f(x)).Problem 12E:

Find functions f and g such that f(g(x))=(x2+1)5. Find a different pair of functions and g that also...Problem 14E:

If f(x)=x and g(x)=x32, simplify the expressions (fg)(3),(ff)(64),(gf)(x), and (fg)(x).Problem 15E:

Composite functions from graphs Use the graphs of f and g in the figure to determine the following...Problem 16E:

Composite functions from tables Use the table to evaluate the given compositions. a. h(g(0)) b....Problem 17E:

Rising radiosonde The National Weather Service releases approximately 70,000 radiosondes every year...Problem 18E:

World record free fall On October 14, 2012, Felix Baumgartner stepped off a balloon capsule at an...Problem 19E:

Suppose f is an even function with f(2) = 2 and g is an odd function with g(2) = 2. Evaluate f(2),...Problem 27E:

Domain State the domain of the function. 27.h(u)=u13Problem 28E:

Domain State the domain of the function. 28.F(w)=2w4Problem 31E:

Launching a rocket A small rocket is launched vertically upward from the edge of a cliff 80 ft off...Problem 32E:

Draining a tank (Torricellis law) A cylindrical tank with a cross-sectional area of 10 m2 is filled...Problem 33E:

Composite functions and notation Let f(x) = x2 4, g(x) = x3, and F(x) = l/(x 3). Simplify or...Problem 34E:

Composite functions and notation Let f(x) = x2 4, g(x) = x3, and F(x) = l/(x 3). Simplify or...Problem 35E:

Composite functions and notation Let f(x) = x2 4, g(x) = x3, and F(x) = l/(x 3). Simplify or...Problem 36E:

Composite functions and notation Let f(x) = x2 4, g(x) = x3, and F(x) = l/(x 3). Simplify or...Problem 37E:

Composite functions and notation Let f(x) = x2 4, g(x) = x3, and F(x) = l/(x 3). Simplify or...Problem 38E:

Composite functions and notation Let f(x) = x2 4, g(x) = x3, and F(x) = l/(x 3). Simplify or...Problem 39E:

Composite functions and notation Let f(x) = x2 4, g(x) = x3, and F(x) = l/(x 3). Simplify or...Problem 40E:

Composite functions and notation Let f(x) = x2 4, g(x) = x3, and F(x) = l/(x 3). Simplify or...Problem 41E:

Composite functions and notation Let f(x) = x2 4, g(x) = x3, and F(x) = l/(x 3). Simplify or...Problem 42E:

Composite functions and notation Let f(x) = x2 4, g(x) = x3, and F(x) = l/(x 3). Simplify or...Problem 43E:

Working with composite functions Find possible choices for outer and inner functions f and g such...Problem 44E:

Working with composite functions Find possible choices for outer and inner functions f and g such...Problem 45E:

Working with composite functions Find possible choices for outer and inner functions f and g such...Problem 46E:

Working with composite functions Find possible choices for outer and inner functions f and g such...Problem 47E:

More composite functions Let f(x) = |x|, g(x) = x2 4, F(x)=x, and G(x) = 1/(x 2). Determine the...Problem 48E:

More composite functions Let f(x) = |x|, g(x) = x2 4, F(x)=x, and G(x) = 1/(x 2). Determine the...Problem 50E:

More composite functions Let f(x) = |x|, g(x) = x2 4, F(x)=x, and G(x) = 1/(x 2). Determine the...Problem 51E:

More composite functions Let f(x) = |x|, g(x) = x2 4, F(x)=x, and G(x) = 1/(x 2). Determine the...Problem 52E:

More composite functions Let f(x) = |x|, g(x) = x2 4, F(x)=x, and G(x)=1/(x2). Determine the...Problem 54E:

More composite functions Let f(x) = |x|, g(x) = x2 4, F(x)=x, and G(x) = 1/(x 2). Determine the...Problem 55E:

Missing piece Let g(x) = x2 + 3. Find a function f that produces the given composition. 49. (f ...Problem 56E:

Missing piece Let g(x) = x2 + 3. Find a function f that produces the given composition. 50....Problem 57E:

Missing piece Let g(x) = x2 + 3. Find a function f that produces the given composition. 51. (f ...Problem 58E:

Missing piece Let g(x) = x2 + 3. Find a function f that produces the given composition. 52. (f ...Problem 59E:

Missing piece Let g(x) = x2 + 3. Find a function f that produces the given composition. 53. (g ...Problem 60E:

Missing piece Let g(x) = x2 + 3. Find a function f that produces the given composition. 54. (g ...Problem 61E:

Explain why or why not Determine whether the following statements are true and give an explanation...Problem 62E:

Working with difference quotients Simplify the difference quotient f(x+h)f(x)h for the following...Problem 63E:

Working with difference quotients Simplify the difference quotient f(x+h)f(x)h for the following...Problem 64E:

Working with difference quotients Simplify the difference quotient f(x+h)f(x)h for the following...Problem 65E:

Working with difference quotients Simplify the difference quotient f(x+h)f(x)h for the following...Problem 66E:

Working with difference quotients Simplify the difference quotient f(x+h)f(x)h for the following...Problem 67E:

Working with difference quotients Simplify the difference quotient f(x+h)f(x)h for the following...Problem 68E:

Working with difference quotients Simplify the difference quotient f(x+h)f(x)h for the following...Problem 69E:

Working with difference quotients Simplify the difference quotient f(x)f(a)xa for the following...Problem 70E:

Working with difference quotients Simplify the difference quotient f(x)f(a)xa for the following...Problem 71E:

Working with difference quotients Simplify the difference quotient f(x)f(a)xa for the following...Problem 72E:

Working with difference quotients Simplify the difference quotient f(x)f(a)xa for the following...Problem 73E:

Working with difference quotients Simplify the difference quotient f(x)f(a)xa for the following...Problem 74E:

Working with difference quotients Simplify the difference quotient f(x)f(a)xa for the following...Problem 75E:

GPS data A GPS device tracks the elevation E (in feet) of a hiker walking in the mountains. The...Problem 76E:

Elevation vs. Distance The following graph, obtained from GPS data, shows the elevation of a hiker...Problem 77E:

Interpreting the slope of secant lines In each exercise, a function and an interval of its...Problem 78E:

Interpreting the slope of secant lines In each exercise, a function and an interval of its...Problem 79E:

Symmetry Determine whether the graphs of the following equations and functions are symmetric about...Problem 80E:

Symmetry Determine whether the graphs of the following equations and functions are symmetric about...Problem 81E:

Symmetry Determine whether the graphs of the following equations and functions are symmetric about...Problem 82E:

Symmetry Determine whether the graphs of the following equations and functions are symmetric about...Problem 85E:

Symmetry Determine whether the graphs of the following equations and functions are symmetric about...Problem 86E:

Symmetry Determine whether the graphs of the following equations and functions are symmetric about...Problem 87E:

Composition of even and odd functions from graphs Assume f is an even function and g is an odd...Problem 88E:

Composition of even and odd functions from tables Assume f is an even function and g is an odd...Problem 89E:

Absolute value graph Use the definition of absolute value to graph the equation |x| |y| = 1. Use a...Problem 90E:

Graphing semicircles Show that the graph of f(x)=10+x2+10x9 is the upper half of a circle. Then...Problem 91E:

Graphing semicircles Show that the graph of g(x)=2x2+6x+16 is the lower half of a circle. Then...Problem 92E:

Even and odd at the origin a. If f(0) is defined and f is an even function, is it necessarily true...Problem 93E:

Polynomial calculations Find a polynomial f that satisfies the following properties. (Hint:...Problem 94E:

Polynomial calculations Find a polynomial f that satisfies the following properties. (Hint:...Problem 95E:

Polynomial calculations Find a polynomial f that satisfies the following properties. (Hint:...Problem 96E:

Polynomial calculations Find a polynomial f that satisfies the following properties. (Hint:...Problem 97E:

Difference quotients Simplify the difference quotients f(x+h)f(x)h and f(x)f(a)xa by rationalizing...Problem 98E:

Difference quotients Simplify the difference quotients f(x+h)f(x)h and f(x)f(a)xa by rationalizing...Problem 99E:

Difference quotients Simplify the difference quotients f(x+h)f(x)h and f(x)f(a)xa by rationalizing...# Browse All Chapters of This Textbook

Chapter 1 - FunctionsChapter 1.1 - Review Of FunctionsChapter 1.2 - Representing FunctionsChapter 1.3 - Inverse, Exponential, And Logarithmic FunctionsChapter 1.4 - Trigonometric Functions And Their InversesChapter 2 - LimitsChapter 2.1 - The Idea Of LimitsChapter 2.2 - Definitions Of LimitsChapter 2.3 - Techniques For Computing LimitsChapter 2.4 - Infinite Limits

Chapter 2.5 - Limits At InfinityChapter 2.6 - ContinuityChapter 2.7 - Precise Definitions Of LimitsChapter 3 - DerivativesChapter 3.1 - Introducing The DerivativesChapter 3.2 - The Derivative As A FunctionChapter 3.3 - Rules Of DifferentiationChapter 3.4 - The Product And Quotient RulesChapter 3.5 - Derivatives Of Trigonometric FunctionsChapter 3.6 - Derivatives As A Rates Of ChangeChapter 3.7 - The Chain RuleChapter 3.8 - Implicit DifferentiationChapter 3.9 - Derivatives Of Logarithmic And Exponential FunctionsChapter 3.10 - Derivatives Of Inverse Trigonometric FunctionsChapter 3.11 - Related RatesChapter 4 - Applications Of The DerivativeChapter 4.1 - Maxima And MinimaChapter 4.2 - Mean Value TheoremChapter 4.3 - What Derivative Tell UsChapter 4.4 - Graphing FunctionsChapter 4.5 - Optimization ProblemsChapter 4.6 - Linear Approximation And DifferentialsChapter 4.7 - L'hopital's RuleChapter 4.8 - Newton's MethodChapter 4.9 - AntiderivativesChapter 5 - IntegrationChapter 5.1 - Approximating Areas Under CurvesChapter 5.2 - Definite IntegralsChapter 5.3 - Fundamental Theorem Of CalculusChapter 5.4 - Working With IntegralsChapter 5.5 - Substitution RuleChapter 6 - Applications Of IntegrationChapter 6.1 - Velocity And Net ChangeChapter 6.2 - Regions Between CurvesChapter 6.3 - Volume By SlicingChapter 6.4 - Volume By ShellsChapter 6.5 - Length Of CurvesChapter 6.6 - Surface AreaChapter 6.7 - Physical ApplicationsChapter 7 - Logarithmic And Exponential, And Hyperbolic FunctionsChapter 7.1 - Logarithmic And Exponential Functions RevisitedChapter 7.2 - Exponential ModelsChapter 7.3 - Hyperbolic FunctionsChapter 8 - Integration TechniquesChapter 8.1 - Basic ApproachesChapter 8.2 - Integration By PartsChapter 8.3 - Trigonometric IntegralsChapter 8.4 - Trigonometric SubstitutionsChapter 8.5 - Partial FractionsChapter 8.6 - Integration StrategiesChapter 8.7 - Other Methods Of IntegrationChapter 8.8 - Numerical IntegrationChapter 8.9 - Improper IntegralsChapter 9 - Differential EquationsChapter 9.1 - Basic IdeasChapter 9.2 - Direction Fields And Euler's MethodChapter 9.3 - Separable Differential EquationsChapter 9.4 - Special First-order Linear Differential EquationsChapter 9.5 - Modeling With Differential EquationsChapter 10 - Sequences And Infinite SeriesChapter 10.1 - An OverviewChapter 10.2 - SequencesChapter 10.3 - Infinite SeriesChapter 10.4 - The Divergence And Integral TestsChapter 10.5 - Comparison TestsChapter 10.6 - Alternating SeriesChapter 10.7 - The Ration And Root TestsChapter 10.8 - Choosing A Convergence TestChapter 11 - Power SeriesChapter 11.1 - Approximating Functions With PolynomialsChapter 11.2 - Properties Of Power SeriesChapter 11.3 - Taylor SeriesChapter 11.4 - Working With Taylor SeriesChapter 12 - Parametric And Polar CurvesChapter 12.1 - Parametric EquationsChapter 12.2 - Polar CoordinatesChapter 12.3 - Calculus In Polar CoordinatesChapter 12.4 - Conic SectionsChapter B - Algebra ReviewChapter C - Complex Numbers

# Sample Solutions for this Textbook

We offer sample solutions for Calculus, Single Variable: Early Transcendentals (3rd Edition) homework problems. See examples below:

# More Editions of This Book

Corresponding editions of this textbook are also available below:

SINGLE VARBLE EARLY TRNS B.U. PKG

2nd Edition

ISBN: 9781269986274

Single Variable Calculus: Early Transcendentals & Student Solutions Manual, Single Variable for Calculus: Early Transcendentals & MyLab Math -- Valuepack Access Card Package

1st Edition

ISBN: 9780133941760

Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book

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ISBN: 9780321954237

Single Variable Calculus: Early Transcendentals Plus MyLab Math with Pearson eText -- Access Card Package (2nd Edition) (Briggs/Cochran/Gillett Calculus 2e)

2nd Edition

ISBN: 9780321965172

Single Variable Calculus: Early Transcendentals

11th Edition

ISBN: 9780321664143

Single Variable Calculus: Early Transcendentals, Books a la Carte, and MyLab Math with Pearson eText -- Title-Specific Access Card Package (3rd Edition)

3rd Edition

ISBN: 9780134996103

Single Variable Calculus Format: Unbound (saleable)

3rd Edition

ISBN: 9780134765761

Pearson eText Calculus: Early Transcendentals -- Instant Access (Pearson+)

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ISBN: 9780136880677

Calculus: Single Variable, Early Transcendentals and MyLab Math with Pearson eText -- Title-Specific Access Card Package (3rd Edition) (Briggs, Cochran, Gillett & Schulz, Calculus Series)

3rd Edition

ISBN: 9780134996714

MyLab Math with Pearson eText -- 24 Month Access -- for Calculus with Integrated Review

3rd Edition

ISBN: 9780135243435

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