Solutions for Calculus of a Single Variable
Problem 1E:
Tangent Line Describe how to find the slope of the tangent line to the graph of a function at a...Problem 4E:
Continuity and Differentiability Describe the relationship between continuity and differentiability.Problem 5E:
Estimating Slope In Exercises 5 and 6, estimate the slope of the graph at the points (x1,y1) and...Problem 6E:
Estimating Slope In Exercises 5 and 6, estimate the slope of the graph at the points (x1,y1) and...Problem 7E:
Slopes of Secant Lines In Exercises 7 and 8, use the graph shown in the figure. To print an enlarged...Problem 8E:
Slopes of Secant Lines In Exercises 7 and 8. use the graph shown in the figure. To print an enlarged...Problem 9E:
Finding the Slope of a Tangent Line In Exercises 9-14, find the slope of the tangent line to the...Problem 11E:
Finding the Slope of a Tangent Line In Exercises 9-14, find the slope of the tangent line to the...Problem 14E:
Finding the Slope of a Tangent Line In Exercises 9-14, find the slope of the tangent line to the...Problem 17E:
Finding the Derivative by the Limit Process In Exercises 15-28, Find the derivative of the function...Problem 21E:
Finding the Derivative by the Limit Process In Exercises 15-28, Find the derivative of the function...Problem 23E:
Finding the Derivative by the Limit Process In Exercises 15-28, Find the derivative of the function...Problem 25E:
Finding the Derivative by the Limit Process In Exercises 15-28, Find the derivative of the function...Problem 28E:
Finding the Derivative by the Limit Process In Exercises 15-28, find the derivative of the function...Problem 36E:
Finding an Equation of a Tangent Line In Exercises 29-36, (a) find an equation of the tangent line...Problem 37E:
Finding an Equation of a Tangent Line In Exercises 37-42. And an equation of the line that is...Problem 38E:
Finding an Equation of a Tangent Line In Exercises 37-42. find an equation of the line that is...Problem 52E:
Symmetry of a Graph A function f is symmetric with respect to the origin. Is f necessarily symmetric...Problem 53E:
Using a Tangent Line The tangent line to the graph of y=g(x) at the point (4, 5) passes through the...Problem 55E:
Working Backwards In Exercises 55-58, the Unlit represents f(c) Tor a function f and a number c ....Problem 56E:
Working Backwards In Exercises 55-58, the Unlit represents f(c) Tor a function f and a number c ....Problem 59E:
Writing a Function Using Derivatives In Exercises 59 and 60, identify a function f that has the...Problem 64E:
HOW DO YOU SEE IT? The figure shows die graph of g. (a) g(0)= (b) g(3)= (c) What can you conclude...Problem 74E:
Using the Alternative Form of the Derivative In Exercises 69-76, use the alternative form of the...Problem 80E:
Determining Differentiability In Exercises 77-80, describe the x -values at which f is...Problem 86E:
Determining Differentiability In Exercises 85-88, find the derivatives from the left and from the...Problem 87E:
Determining Differentiability In Exercises 85-88, find the derivatives from the left and from the...Problem 91E:
Graphical Reasoning A line with slope m passes through the point (0, 4) and has the equation y=mx+4....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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