Solutions for Calculus, Early Transcendentals
Problem 1E:
Finding Intercepts Describe how to find the x and y intercepts of the graph of an equation.Problem 2E:
Verifying Points of Intersection How can you check that an ordered pair is a point of intersection...Problem 3E:
Matching In Exercises 3-6, match the equation with its graph. [The graphs are labeled (a), (b), (c),...Problem 4E:
Matching In Exercises 3-6, match the equation with its graph. [The graphs are labeled (a), (b). (c),...Problem 5E:
Matching In Exercises 3-6, match the equation with its graph. [The graphs are labeled (a), (b). (c),...Problem 6E:
Matching In Exercises 3-6, match the equation with its graph. [The graphs are labeled (a), (b). (c),...Problem 8E:
Sketching a Graph by Point Plotting In Exercises 7-16, sketch the graph of the equation by point...Problem 9E:
Sketching a Graph by Point Plotting In Exercises 7-16, sketch the graph of the equation by point...Problem 11E:
Sketching a Graph by Point Plotting In Exercises 7-16, sketch the graph of the equation by point...Problem 12E:
Sketching a Graph by Point Plotting In Exercises 7-16, sketch the graph of the equation by point...Problem 13E:
Sketching a Graph by Point Plotting In Exercises 7-16, sketch the graph of the equation by point...Problem 17E:
Approximating Solution Points Using Technology In Exercises 17 and 18, use a graphing utility to...Problem 18E:
Approximating Solution Points Using Technology In Exercises 17 and 18, use a graphing utility to...Problem 46E:
Using Intercepts and Symmetry to Sketch a Graph In Exercises 41-56, find any intercepts and test for...Problem 49E:
Using Intercepts and Symmetry to Sketch a Graph In Exercises 41-56, find any intercepts and test for...Problem 51E:
Using Intercepts and Symmetry to Sketch a Graph In Exercises 41-56, find any intercepts and test for...Problem 54E:
Using Intercepts and Symmetry to Sketch a Graph In Exercises 41-56, find any intercepts and test for...Problem 59E:
Finding Points of Intersection In Exercises 57-62, find the points of intersection of the graphs of...Problem 60E:
Finding Points of Intersection In Exercises 57-62, find the points of intersection of the graphs of...Problem 61E:
Finding Points of Intersection In Exercises 57-62, find the points of intersection of the graphs of...Problem 62E:
Finding Points of Intersection In Exercises 57-62, find the points of intersection of the graphs of...Problem 63E:
Finding Points of Intersection Using Technology In Exercises 63-66, use a graphing utility to find...Problem 67E:
Modeling Data The table shows the Gross Domestic Product, or GDP (in trillions of dollars), for 2009...Problem 68E:
Modeling Data The table shows [he numbers of cell phone subscribers (in millions) in the United...Problem 69E:
Break-Even Point Find the sales necessary to break even (R=C) when the cost C of producing x units...Problem 70E:
Using Solution Points For what values of k does the graph of y2=4kx pass through the point. (a) (1,...Problem 71E:
Using Intercepts Write an equation whose graph has intercepts at x=32,x=4. and x=52 (There is more...Problem 72E:
Symmetry A graph is symmetric with respect to the x-axis and to the y-axis. Is the graph also...Problem 73E:
Symmetry A graph is symmetric with respect to one axis and to the origin. Is the graph also...Problem 75E:
True or False? In Exercises 75-78, determine whether the statement is true or false. If it is false,...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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