Calculus2nd EditionWilliam L. Briggs, Lyle Cochran, Bernard Gillett Publisher: Pearson Higher EdISBN: 9780321954404
Calculus
Solutions for Calculus
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:
Suppose f and g are even functions with f(2) = 2 and g(2) = 2. Evaluate f(g(2)) and g(f(2)).Problem 13E:
Domain and range Graph each function with a graphing utility using the given window. Then state the...Problem 17E:
Domain and range Graph each function with a graphing utility using the given window. Then state the...Problem 18E:
Domain and range Graph each function with a graphing utility using the given window. Then state the...Problem 19E:
Domain and range Graph each function with a graphing utility using the given window. Then state the...Problem 20E:
Domain and range Graph each function with a graphing utility using the given window. Then state the...Problem 21E:
Domain in context Determine an appropriate domain of each function. Identify the independent and...Problem 23E:
Domain in context Determine an appropriate domain of each function. Identify the independent and...Problem 25E:
Composite functions and notation Let f(x) = x2 4, g(x) = x3, and F(x) = l/(x 3). Simplify or...Problem 26E:
Composite functions and notation Let f(x) = x2 4, g(x) = x3, and F(x) = l/(x 3). Simplify or...Problem 27E:
Composite functions and notation Let f(x) = x2 4, g(x) = x3, and F(x) = l/(x 3). Simplify or...Problem 28E:
Composite functions and notation Let f(x) = x2 4, g(x) = x3, and F(x) = l/(x 3). Simplify or...Problem 29E:
Composite functions and notation Let f(x) = x2 4, g(x) = x3, and F(x) = l/(x 3). Simplify or...Problem 30E:
Composite functions and notation Let f(x) = x2 4, g(x) = x3, and F(x) = l/(x 3). Simplify or...Problem 31E:
Composite functions and notation Let f(x) = x2 4, g(x) = x3, and F(x) = l/(x 3). Simplify or...Problem 32E:
Composite functions and notation Let f(x) = x2 4, g(x) = x3, and F(x) = l/(x 3). Simplify or...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 40E:
Working with composite functions Find possible choices for the outer and inner functions f and g...Problem 41E:
More composite functions Let f(x) = |x|, g(x) = x2 4, F(x)=x, and G(x) = 1/(x 2). Determine the...Problem 42E:
More composite functions Let f(x) = |x|, g(x) = x2 4, F(x)=x, and G(x) = 1/(x 2). Determine the...Problem 44E:
More composite functions Let f(x) = |x|, g(x) = x2 4, F(x)=x, and G(x) = 1/(x 2). Determine the...Problem 45E:
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 49E:
Missing piece Let g(x) = x2 + 3. Find a function f that produces the given composition. 49. (f ...Problem 50E:
Missing piece Let g(x) = x2 + 3. Find a function f that produces the given composition. 50....Problem 51E:
Missing piece Let g(x) = x2 + 3. Find a function f that produces the given composition. 51. (f ...Problem 52E:
Missing piece Let g(x) = x2 + 3. Find a function f that produces the given composition. 52. (f ...Problem 53E:
Missing piece Let g(x) = x2 + 3. Find a function f that produces the given composition. 53. (g ...Problem 54E:
Missing piece Let g(x) = x2 + 3. Find a function f that produces the given composition. 54. (g ...Problem 55E:
Composite functions from graphs Use the graphs of f and g in the figure to determine the following...Problem 56E:
Composite functions from tables Use the table to evaluate the given compositions. a. h(g(0)) b....Problem 57E:
Working with difference quotients Simplify the difference quotient f(x+h)f(x)h for the following...Problem 58E:
Working with difference quotients Simplify the difference quotient f(x+h)f(x)h for the following...Problem 59E:
Working with difference quotients Simplify the difference quotient f(x+h)f(x)h for the following...Problem 60E:
Working with difference quotients Simplify the difference quotient f(x+h)f(x)h for the following...Problem 61E:
Working with difference quotients Simplify the difference quotient f(x+h)f(x)h for the following...Problem 62E:
Working with difference quotients Simplify the difference quotient f(x)f(a)xa for the following...Problem 63E:
Working with difference quotients Simplify the difference quotient f(x)f(a)xa for the following...Problem 64E:
Working with difference quotients Simplify the difference quotient f(x)f(a)xa for the following...Problem 65E:
Working with difference quotients Simplify the difference quotient f(x)f(a)xa for the following...Problem 66E:
Working with difference quotients Simplify the difference quotient f(x)f(a)xa for the following...Problem 67E:
Interpreting the slope of secant lines In each exercise, a function and an interval of its...Problem 68E:
Interpreting the slope of secant lines In each exercise, a function and an interval of its...Problem 69E:
Interpreting the slope of secant lines In each exercise, a function and an interval of its...Problem 71E:
Symmetry Determine whether the graphs of the following equations and functions are symmetric about...Problem 72E:
Symmetry Determine whether the graphs of the following equations and functions are symmetric about...Problem 73E:
Symmetry Determine whether the graphs of the following equations and functions are symmetric about...Problem 74E:
Symmetry Determine whether the graphs of the following equations and functions are symmetric about...Problem 77E:
Symmetry Determine whether the graphs of the following equations and functions are symmetric about...Problem 78E:
Symmetry Determine whether the graphs of the following equations and functions are symmetric about...Problem 80E:
Symmetry in graphs State whether the functions represented by graphs A, B, and C in the figure are...Problem 81E:
Explain why or why not Determine whether the following statements are true and give an explanation...Problem 83E:
Absolute value graph Use the definition of absolute value to graph the equation |x| |y| = 1. Use a...Problem 84E:
Even and odd at the origin a. If f(0) is defined and f is an even function, is it necessarily true...Problem 85E:
Polynomial calculations Find a polynomial f that satisfies the following properties. (Hint:...Problem 86E:
Polynomial calculations Find a polynomial f that satisfies the following properties. (Hint:...Problem 87E:
Polynomial calculations Find a polynomial f that satisfies the following properties. (Hint:...Problem 88E:
Polynomial calculations Find a polynomial f that satisfies the following properties. (Hint:...Problem 89E:
Difference quotients Simplify the difference quotients f(x+h)f(x)h and f(x)f(a)xa by rationalizing...Problem 90E:
Difference quotients Simplify the difference quotients f(x+h)f(x)h and f(x)f(a)xa by rationalizing...Problem 91E:
Difference quotients Simplify the difference quotients f(x+h)f(x)h and f(x)f(a)xa by rationalizing...Problem 92E:
Difference quotients Simplify the difference quotients f(x+h)f(x)h and f(x)f(a)xa by rationalizing...Problem 93E:
Launching a rocket A small rocket is launched vertically upward from the edge of a cliff 80 ft off...Problem 95E:
Combining even and odd functions Let E be an even function and O be an odd function. Determine the...Problem 96E:
Combining even and odd functions Let E be an even function and O be an odd function. Determine the...Problem 98E:
Combining even and odd functions Let E be an even function and O be an odd function. Determine the...Problem 99E:
Combining even and odd functions Let E be an even function and O be an odd function. Determine the...Problem 100E:
Combining even and odd functions Let E be an even function and O be an odd function. Determine the...Problem 101E:
Combining even and odd functions Let E be an even function and O be an odd function. Determine the...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 DerivativeChapter 3.2 - Working With DerivativesChapter 3.3 - Rules Of DifferentiationChapter 3.4 - The Product And Quotient RulesChapter 3.5 - Derivatives Of Trigonometric FunctionsChapter 3.6 - Derivatives As 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 DerivativesChapter 4.1 - Maxima And MinimaChapter 4.2 - What Derivatives Tell UsChapter 4.3 - Graphing FunctionsChapter 4.4 - Optimization ProblemsChapter 4.5 - Linear Approximation And DifferentialsChapter 4.6 - Mean Value TheoremChapter 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 6.8 - Logarithmic And Exponential Functions RevisitedChapter 6.9 - Exponential ModelsChapter 6.10 - Hyperbolic FunctionsChapter 7 - Integration TechniquesChapter 7.1 - Basic ApproachesChapter 7.2 - Integration By PartsChapter 7.3 - Trigonometric IntegralsChapter 7.4 - Trigonometric SubstitutionsChapter 7.5 - Partial FractionsChapter 7.6 - Other Integration StrategiesChapter 7.7 - Numerical IntegrationChapter 7.8 - Improper IntegralsChapter 7.9 - Introduction To Differential EquationsChapter 8 - Sequences And Infinite SeriesChapter 8.1 - An OverviewChapter 8.2 - SequencesChapter 8.3 - Infinite SeriesChapter 8.4 - The Divergence And Integral TestsChapter 8.5 - The Ratio, Root, And Comparison TestsChapter 8.6 - Alternating SeriesChapter 9 - Power SeriesChapter 9.1 - Approximating Functions With PolynomialsChapter 9.2 - Properties Of Power SeriesChapter 9.3 - Taylor SeriesChapter 9.4 - Working With Taylor SeriesChapter 10 - Parametric And Polar CurvesChapter 10.1 - Parametric EquationsChapter 10.2 - Polar CoordinatesChapter 10.3 - Calculus In Polar CoordinatesChapter 10.4 - Conic SectionsChapter 11 - Vectors And Vector-valued FunctionsChapter 11.1 - Vectors In The PlaneChapter 11.2 - Vectors In Three DimensionsChapter 11.3 - Dot ProductsChapter 11.4 - Cross ProductsChapter 11.5 - Lines And Curves In SpaceChapter 11.6 - Calculus Of Vector-valued FunctionsChapter 11.7 - Motion In SpaceChapter 11.8 - Length Of CurvesChapter 11.9 - Curvature And Normal VectorsChapter 12 - Functions Of Several VariablesChapter 12.1 - Planes And SurfacesChapter 12.2 - Graphs And Level CurvesChapter 12.3 - Limits And ContinuityChapter 12.4 - Partial DerivativesChapter 12.5 - The Chain RuleChapter 12.6 - Directional Derivatives And The GradientChapter 12.7 - Tangent Planes And Linear ApproximationChapter 12.8 - Maximum/minimum ProblemsChapter 12.9 - Lagrange MultipliersChapter 13 - Multiple IntegrationChapter 13.1 - Double Integrals Over Rectangular RegionsChapter 13.2 - Double Integrals Over General RegionsChapter 13.3 - Double Integrals In Polar CoordinatesChapter 13.4 - Triple IntegralsChapter 13.5 - Triple Integrals In Cylindrical And Spherical CoordinatesChapter 13.6 - Integrals For Mass CalculationsChapter 13.7 - Change Of Variables In Multiple IntegralsChapter 14 - Vector CalculusChapter 14.1 - Vector FieldsChapter 14.2 - Line IntegralsChapter 14.3 - Conservative Vector FieldsChapter 14.4 - Green's TheoremChapter 14.5 - Divergence And CurlChapter 14.6 - Surface IntegralsChapter 14.7 - Stokes' TheoremChapter 14.8 - Divergence TheoremChapter D1 - Differential EquationsChapter D1.1 - Basic IdeasChapter D1.2 - Direction Fields And Euler's MethodChapter D1.3 - Separable Differential EquationsChapter D1.4 - Special First-order Differential EquationsChapter D1.5 - Modeling With Differential EquationsChapter D2 - Second-order Differential EquationsChapter D2.1 - Basic IdeasChapter D2.2 - Linear Homogeneous EquationsChapter D2.3 - Linear Nonhomogeneous EquationsChapter D2.4 - ApplicationsChapter D2.5 - Complex Forcing FunctionsChapter A - Algebra Review
Book Details
This much anticipated second edition of the most successful new calculus text published in the last two decades retains the best of the first edition while introducing important advances and refinements. Authors Briggs, Cochran, and Gillett build from a f
Sample Solutions for this Textbook
We offer sample solutions for Calculus homework problems. See examples below:
Chapter 1, Problem 1REChapter 2, Problem 1REChapter 3, Problem 1REChapter 4, Problem 1REChapter 5, Problem 1REChapter 6, Problem 1REChapter 7, Problem 1REChapter 8, Problem 1REChapter 9, Problem 1RE
Chapter 10, Problem 1REChapter 11, Problem 1REExplanation: Given: The equation is 4x−3y=12 . Calculation: The graph of the given equation 4x−3y=12...Chapter 13, Problem 1REChapter 14, Problem 1REChapter D1, Problem 1REExplanation: Given: The differential equation is y″+2y′−ty=0 . The highest derivative occur in the...
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