Calculus, Early Transcendentals7th EditionC. Henry Edwards, David E. Penney Publisher: PEARSONISBN: 9780131569898
Calculus, Early Transcendentals
Solutions for Calculus, Early Transcendentals
Problem 1E:
Reflective Property of Inverse Functions Describe the relationship between the graph of a function...Problem 5E:
Matching In Exercises 5-8, match the graph of the function with the graph of its inverse function....Problem 6E:
Matching In Exercises 5-8, match the graph of the function with the graph of its inverse function....Problem 7E:
Matching In Exercises 5-8, match the graph of the function with the graph of its inverse function....Problem 8E:
Matching In Exercises 5-8, match the graph of the function with the graph of its inverse function....Problem 9E:
Verifying Inverse Functions In Exercises 9-16, show that f and g are inverse functions (a)...Problem 10E:
Verifying Inverse Functions In Exercises 9-16, show that f and g are inverse functions (a)...Problem 11E:
Verifying Inverse Functions In Exercises 9-16, show that f and g are inverse functions (a)...Problem 12E:
Verifying Inverse Functions In Exercises 9-16, show that f and g are inverse functions (a)...Problem 13E:
Verifying Inverse Functions In Exercises 9-16, show that f and g are inverse functions (a)...Problem 14E:
Verifying Inverse Functions In Exercises 9-16, show that f and g are inverse functions (a)...Problem 15E:
Verifying Inverse Functions In Exercises 9-16, show that f and g are inverse functions (a)...Problem 16E:
Verifying Inverse Functions In Exercises 9-16, show that f and g are inverse functions (a)...Problem 17E:
Using the Horizontal Line Test In Exercises 17 and 18, use the Horizontal Line Test to determine...Problem 18E:
Using the Horizontal Line Test In Exercises 17 and 18, use the Horizontal Line Test to determine...Problem 19E:
The Existence of an Inverse Function In Exercises l9-24, determine whether the function is...Problem 20E:
The Existence of an Inverse Function In Exercises l9-24, determine whether the function is...Problem 28E:
The Existence of an Inverse Function In Exercises 25-30, use a graphing utility to graph the...Problem 29E:
The Existence of an Inverse Function In Exercises 25-30, use a graphing utility to graph the...Problem 36E:
Finding an Inverse Function In Exercises 31-38, (a) find the inverse function of f, (b) graph f and...Problem 40E:
Finding an Inverse Function In Exercises 39-44, (a) find the inverse function of f, (b) use a...Problem 45E:
Finding an Inverse Function In Exercises 45 and 46, use the graph of the function f to make a table...Problem 47E:
Cost You need a total of 50 pounds of two commodities costing $1.25 and $2.75 per pound. (a) Verify...Problem 50E:
Testing Whether a Function Is One-to-One In Exercises 49-54, determine whether the function is...Problem 63E:
Finding an Inverse Function In Exercises 63-68, (a) sketch a graph of the function f, (b) determine...Problem 71E:
Finding Values In Exercises 69-74, find f1 (a) for the function f and real number a. Function Real...Problem 72E:
Finding Values In Exercises 69-74, find f1 (a) for the function f and real number a. Function Real...Problem 89E:
Missing Coordinates Determine the missing coordinates of the points on the graph of the function.Problem 94E:
Sketching a Graph In Exercises 91-94, sketch the graph of the function. Use a graphing utility to...Problem 95E:
Evaluating Inverse Trigonometric Functions In Exercises 95-102, evaluate the expression without...Problem 96E:
Evaluating Inverse Trigonometric Functions In Exercises 95-102, evaluate the expression without...Problem 97E:
Evaluating Inverse Trigonometric Functions In Exercises 95-102, evaluate the expression without...Problem 98E:
Evaluating Inverse Trigonometric Functions In Exercises 95-102, evaluate the expression without...Problem 100E:
Evaluating Inverse Trigonometric Functions In Exercises 95-102, evaluate the expression without...Problem 103E:
Approximating Inverse Trigonometric Functions In Exercises 103-106, use a calculator to approximate...Problem 105E:
Approximating Inverse Trigonometric Functions In Exercises 103-106, use a calculator to approximate...Problem 124E:
Evaluating an Expression In Exercises 123-126, evaluate each expression without using a calculator....Problem 126E:
Evaluating an Expression In Exercises 123-126, evaluate each expression without using a calculator....Problem 128E:
Simplifying an Expression In Exercises 127-132, write the expression in algebraic form. [Hint:...Browse All Chapters of This Textbook
Chapter 1 - Preparation For CalculusChapter 1.1 - Graphs And ModelsChapter 1.2 - Linear Models And Rates Of ChangeChapter 1.3 - Functions And Their GraphsChapter 1.4 - Review Of Trigonometric FunctionsChapter 1.5 - Inverse FunctionsChapter 1.6 - Exponential And Logarithmic FunctionsChapter 2 - Limits And Their PropertiesChapter 2.1 - A Preview Of CalculusChapter 2.2 - Finding Limits Graphically And Numerically
Chapter 2.3 - Evaluating Limits AnalyticallyChapter 2.4 - Continuity And One-sided LimitsChapter 2.5 - Infinite LimitsChapter 3 - DifferentiationChapter 3.1 - The Derivative And The Tangent Line ProblemChapter 3.2 - Basic Differentiation Rules And Rates Of ChangeChapter 3.3 - Product And Quotient Rules And Higher-order DerivativesChapter 3.4 - The Chain RuleChapter 3.5 - Implicit DifferentiationChapter 3.6 - Derivatives Of Inverse FunctionsChapter 3.7 - Related RatesChapter 3.8 - Newton's MethodChapter 4 - Applications Of DifferentiationChapter 4.1 - Extrema On An IntervalChapter 4.2 - Rolle's Theorem And The Mean Value TheoremChapter 4.3 - Increasing And Decreasing Functions And The First Derivative TestChapter 4.4 - Concavity And The Second Derivative TestChapter 4.5 - Limits At InfinityChapter 4.6 - A Summary Of Curve SketchingChapter 4.7 - Optimization ProblemsChapter 4.8 - DifferentialsChapter 5 - IntegrationChapter 5.1 - Antiderivatives And Indefinite IntegrationChapter 5.2 - AreaChapter 5.3 - Riemann Sums And Definite IntegralsChapter 5.4 - The Fundamental Theorem Of CalculusChapter 5.5 - Integration By SubstitutionChapter 5.6 - Indeterminate Forms And L'hôpital's RuleChapter 5.7 - The Natural Logarithmic Function: IntegrationChapter 5.8 - Inverse Trigonometric Functions: IntegrationChapter 5.9 - Hyperbolic FunctionsChapter 6 - Differential EquationsChapter 6.1 - Slope Fields And Euler's MethodChapter 6.2 - Growth And DecayChapter 6.3 - Separation Of VariablesChapter 6.4 - The Logistic EquationChapter 6.5 - First-order Linear Differential EquationsChapter 6.6 - Predator-prey Differential EquationsChapter 7 - Applications Of IntegrationChapter 7.1 - Area Of A Region Between Two CurvesChapter 7.2 - Volume: The Disk MethodChapter 7.3 - Volume: The Shell MethodChapter 7.4 - Arc Length And Surfaces Of RevolutionChapter 7.5 - WorkChapter 7.6 - Moments, Centers Of Mass, And CentroidsChapter 7.7 - Fluid Pressure And Fluid ForceChapter 8 - Integration Techniques And Improper IntegralsChapter 8.1 - Basic Integration RulesChapter 8.2 - Integration By PartsChapter 8.3 - Trigonometric IntegralsChapter 8.4 - Trigonometric SubstitutionChapter 8.5 - Partial FractionsChapter 8.6 - Numerical IntegrationChapter 8.7 - Integration By Tables And Other Integration TechniquesChapter 8.8 - Improper IntegralsChapter 9 - Infinite SeriesChapter 9.1 - SequencesChapter 9.2 - Series And ConvergenceChapter 9.3 - The Integral Test And P-seriesChapter 9.4 - Comparisons Of SeriesChapter 9.5 - Alternating SeriesChapter 9.6 - The Ratio And Root TestsChapter 9.7 - Taylor Polynomials And ApproximationsChapter 9.8 - Power SeriesChapter 9.9 - Representation Of Functions By Power SeriesChapter 9.10 - Taylor And Maclaurin SeriesChapter 10 - Conics, Parametric Equations, And Polar CoordinatesChapter 10.1 - Conics And CalculusChapter 10.2 - Plane Curves And Parametric EquationsChapter 10.3 - Parametric Equations And CalculusChapter 10.4 - Polar Coordinates And Polar GraphsChapter 10.5 - Area And Arc Length In Polar CoordinatesChapter 10.6 - Polar Equations Of Conics And Kepler's LawsChapter 11 - Vectors And The Geometry Of SpaceChapter 11.1 - Vectors In The PlaneChapter 11.2 - Space Coordinates And Vectors In SpaceChapter 11.3 - The Dot Product Of Two VectorsChapter 11.4 - The Cross Product Of Two Vectors In SpaceChapter 11.5 - Lines And Planes In SpaceChapter 11.6 - Surfaces In SpaceChapter 11.7 - Cylindrical And Spherical CoordinatesChapter 12 - Vector-valued FunctionsChapter 12.1 - Vector-valued FunctionsChapter 12.2 - Differentiation And Integration Of Vector-valued FunctionsChapter 12.3 - Velocity And AccelerationChapter 12.4 - Tangent Vectors And Normal VectorsChapter 12.5 - Arc Length And CurvatureChapter 13 - Functions Of Several VariablesChapter 13.1 - Introduction To Functions Of Several VariablesChapter 13.2 - Limits And ContinuityChapter 13.3 - Partial DerivativesChapter 13.4 - DifferentialsChapter 13.5 - Chain Rules For Functions Of Several VariablesChapter 13.6 - Directional Derivatives And GradientsChapter 13.7 - Tangent Planes And Normal LinesChapter 13.8 - Extrema Of Functions Of Two VariablesChapter 13.9 - Applications Of ExtremaChapter 13.10 - Lagrange MultipliersChapter 14 - Multiple IntegrationChapter 14.1 - Iterated Integrals And Area In The PlaneChapter 14.2 - Double Integrals And VolumeChapter 14.3 - Change Of Variables: Polar CoordinatesChapter 14.4 - Center Of Mass And Moments Of InertiaChapter 14.5 - Surface AreaChapter 14.6 - Triple Integrals And ApplicationsChapter 14.7 - Triple Integrals In Other CoordinatesChapter 14.8 - Change Of Variables: JacobiansChapter 15 - Vector AnalysisChapter 15.1 - Vector FieldsChapter 15.2 - Line IntegralsChapter 15.3 - Conservative Vector Fields And Independence Of PathChapter 15.4 - Green's TheoremChapter 15.5 - Parametric SurfacesChapter 15.6 - Surface IntegralsChapter 15.7 - Divergence TheoremChapter 15.8 - Stokes's Theorem
Book Details
This text is rigorous, fairly traditional and is appropriate for engineering and science calculus tracks. Hallmarks are accuracy, strong engineering and science applications, deep problem sets (in quantity, depth, and range), and spectacular visuals.
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