Solutions for Calculus of a Single Variable
Problem 1E:
Finding Intercepts Describe how to find the x- and y-intercepts of the graph of an equation.Problem 2E:
CONCEPT CHECK Verifying Points of Intersection How can you check that an ordered pair is a point of...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 716, 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 42E:
Using Intercepts and Symmetry to Sketch a Graph In Exercises 41-56, find any Intercepts and test for...Problem 43E:
Using Intercepts and Symmetry to Sketch a Graph In Exercises 41-56, find any Intercepts and test for...Problem 45E:
Using Intercepts and Symmetry to Sketch a Graph In Exercises 41-56, find any Intercepts and test for...Problem 47E:
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 55E:
Using Intercepts and Symmetry to Sketch a Graph In Exercises 41-56, find any Intercepts and test for...Problem 57E:
Finding Points of Intersection In Exercises 57-62. find the points of intersection of the graphs of...Problem 58E:
Finding Points of Intersection In Exercises 57-62. find the points of intersection of the graphs of...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 64E:
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 the numbers of cell phone subscribers (in millions) in the United...Problem 71E:
EXPLORING CONCEPTS Using Intercepts Write an equation whose graph has intercepts at x=32,x=4andx=52....Problem 72E:
EXPLORING CONCEPTS Symmetry A graph is symmetric with respect to the x-axis and to the y-axis. Is...Problem 74E:
HOW DO YOU SEE IT? Use the graphs of the two equations to answer the questions below (a) What are...Problem 75E:
True or False ? In Exercises 75-78, determine whether the statement is true or false. If it is...Problem 76E:
True or False ? In Exercises 75-78, determine whether the statement is true or false. If it is...Browse All Chapters of This Textbook
Chapter P - Preparation For CalculusChapter P.1 - Graphs And ModelsChapter P.2 - Linear Models And Rates Of ChangeChapter P.3 - Functions And Their GraphsChapter P.4 - Review Of Trigonometric FunctionsChapter 1 - Limits And Their PropertiesChapter 1.1 - A Preview Of CalculusChapter 1.2 - Finding Limits Graphically And NumericallyChapter 1.3 - Evaluating Limits AnalyticallyChapter 1.4 - Continuity And One-sided Limits
Chapter 1.5 - Infinite LimitsChapter 2 - DifferentiationChapter 2.1 - The Derivative And The Tangent Line ProblemChapter 2.2 - Basic Differentiation Rules And Rates Of ChangeChapter 2.3 - Product And Quotient Rules And Higher-order DerivativesChapter 2.4 - The Chain RuleChapter 2.5 - Implicit DifferentiationChapter 2.6 - Related RatesChapter 3 - Applications Of DifferentiationChapter 3.1 - Extrema On An IntervalChapter 3.2 - Rolle’s Theorem And The Mean Value TheoremChapter 3.3 - Increasing And Decreasing Functions And The First Derivative TestChapter 3.4 - Concavity And The Second Derivative TestChapter 3.5 - Limits At InfinityChapter 3.6 - A Summary Of Curve SketchingChapter 3.7 - Optimization ProblemsChapter 3.8 - Newton’s MethodChapter 3.9 - DifferentialsChapter 4 - IntegrationChapter 4.1 - Antiderivatives And Indefinite IntegrationChapter 4.2 - AreaChapter 4.3 - Riemann Sums And Definite IntegralsChapter 4.4 - The Fundamental Theorem Of CalculusChapter 4.5 - Integration By SubstitutionChapter 5 - Logarithmic, Exponential, And Other Transcendental FunctionsChapter 5.1 - The Natural Logarithmic Function: DifferentiationChapter 5.2 - The Natural Logarithmic Function: IntegrationChapter 5.3 - Inverse FunctionsChapter 5.4 - Exponential Functions: Differentiation And IntegrationChapter 5.5 - Bases Other Than E And ApplicationsChapter 5.6 - Indeterminate Forms And L’hôpital’s RuleChapter 5.7 - Inverse Trigonometric Functions: DifferentiationChapter 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 Variables And The Logistic EquationChapter 6.4 - First-order Linear 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 Laws
Book Details
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Sample Solutions for this Textbook
We offer sample solutions for Calculus of a Single Variable homework problems. See examples below:
Chapter P, Problem 1REChapter 1, Problem 1REChapter 2, Problem 1REChapter 3, Problem 1REChapter 4, Problem 1REGiven: The function to be plotted is f(x)=lnx−3. Graph: Use Ti-83 to plot the graph of the function:...Chapter 6, Problem 1REChapter 7, Problem 1REGiven: The integral ∫x2x3−27dx Formula used: If the function, u=g(x) has a continuous derivative on...
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