Solutions for Calculus Early Transcendentals, Binder Ready Version
Problem 1QCE:
We write limxafx=L provided the values of can be made as close to as desired, by taking values of ...Problem 3QCE:
State what must be true about limxafxandlimxa+fx in order for it to be the case that limxafx=LProblem 4QCE:
Use the accompanying graph of y=fxx3 to determine the limits. (a) limx0fx= (b) limx2fx= (c)...Problem 5QCE:
The slope of the secant line through P2,4 and Qx,x2 on the parabola y=x2 is msec=x+2 . It follows...Problem 1ES:
In these exercises, make reasonable assumptions about the graph of the indicated function outside of...Problem 2ES:
In these exercises, make reasonable assumptions about the graph of the indicated function outside of...Problem 3ES:
In these exercises, make reasonable assumptions about the graph of the indicated function outside of...Problem 4ES:
In these exercises, make reasonable assumptions about the graph of the indicated function outside of...Problem 5ES:
In these exercises, make reasonable assumptions about the graph of the indicated function outside of...Problem 6ES:
In these exercises, make reasonable assumptions about the graph of the indicated function outside of...Problem 7ES:
In these exercises, make reasonable assumptions about the graph of the indicated function outside of...Problem 8ES:
In these exercises, make reasonable assumptions about the graph of the indicated function outside of...Problem 9ES:
In these exercises, make reasonable assumptions about the graph of the indicated function outside of...Problem 10ES:
In these exercises, make reasonable assumptions about the graph of the indicated function outside of...Problem 11ES:
(i) Complete the table and make a guess about the limit indicated, (ii) Confirm your conclusions...Problem 12ES:
(i) Complete the table and make a guess about the limit indicated, (ii) Confirm your conclusions...Problem 17ES:
Determine whether the statement is true or false. Explain your answer. If fa=L , then limxafx=L .Problem 18ES:
True-False Determine whether the statement is true or false. Explain your answer. If limxafx ,...Problem 19ES:
True-False Determine whether the statement is true or false. Explain your answer. If limxafx , and...Problem 21ES:
Sketch a possible graph for a function f with the specified properties. (Many different solutions...Problem 22ES:
Sketch a possible graph for a function f with the specified properties. (Many different solutions...Problem 23ES:
Sketch a possible graph for a function f with the specified properties. (Many different solutions...Problem 24ES:
Sketch a possible graph for a function f with the specified properties. (Many different solutions...Problem 25ES:
Sketch a possible graph for a function f with the specified properties. (Many different solutions...Problem 26ES:
Sketch a possible graph for a function f with the specified properties. (Many different solutions...Problem 27ES:
Modify he argument of Example 1 to find the equation of the tangent line to the specified graph at...Problem 28ES:
Modify he argument of Example 1 to find the equation of the tangent line to the specified graph at...Problem 29ES:
Modify he argument of Example 1 to find the equation of the tangent line to the specified graph at...Problem 30ES:
Modify he argument of Example 1 to find the equation of the tangent line to the specified graph at...Problem 31ES:
In the special theory of relativity the length l of a narrow rod moving longitudinally is a function...Problem 32ES:
In the special theory of relativity the mass m of a moving object is a function m=m of the...Browse All Chapters of This Textbook
Chapter 1 - Limits And ContinuityChapter 1.1 - Limits (an Intuitive Approach)Chapter 1.2 - Computing LimitsChapter 1.3 - Limits At Infinity; End Behavior Of A FunctionChapter 1.4 - Limits (discussed More Rigorously)Chapter 1.5 - ContinuityChapter 1.6 - Continuity Of Trigonometric FunctionsChapter 1.7 - Inverse Trigonometric FunctionsChapter 1.8 - Exponential And Logarithmic FunctionsChapter 2 - The Derivative
Chapter 2.1 - Tangent Lines And Rates Of ChangeChapter 2.2 - The Derivative FunctionChapter 2.3 - Introduction To Techniques Of DifferentiationChapter 2.4 - The Product And Quotient RulesChapter 2.5 - Derivatives Of Trigonometric FunctionsChapter 2.6 - The Chain RuleChapter 3 - Topics In DifferentiationChapter 3.1 - Implicit DifferentiationChapter 3.2 - Derivatives Of Logarithmic FunctionsChapter 3.3 - Derivatives Of Exponential And Inverse Trigonometric FunctionsChapter 3.4 - Related RatesChapter 3.5 - Local Linear Approximation; DifferentialsChapter 3.6 - L’hôpital’s Rule; Indeterminate FormsChapter 4 - The Derivative In Graphing And ApplicationsChapter 4.1 - Analysis Of Functions I: Increase, Decrease, And ConcavityChapter 4.2 - Analysis Of Functions Ii: Relative Extrema; Graphing PolynomialsChapter 4.3 - Analysis Of Functions Iii: Rational Functions, Cusps, And Vertical TangentsChapter 4.4 - Absolute Maxima And MinimaChapter 4.5 - Applied Maximum And Minimum ProblemsChapter 4.6 - Rectilinear MotionChapter 4.7 - Newton’s MethodChapter 4.8 - Rolle’s Theorem; Mean-value TheoremChapter 5 - IntegrationChapter 5.1 - An Overview Of The Area ProblemChapter 5.2 - The Indefinite IntegralChapter 5.3 - Integration By SubstitutionChapter 5.4 - The Definition Of Area As A Limit; Sigma NotationChapter 5.5 - The Definite IntegralChapter 5.6 - The Fundamental Theorem Of CalculusChapter 5.7 - Rectilinear Motion Revisited Using IntegrationChapter 5.8 - Average Value Of A Function And Its ApplicationsChapter 5.9 - Evaluating Definite Integrals By SubstitutionChapter 5.10 - Logarithmic And Other Functions Defined By IntegralsChapter 6 - Applications Of The Definite Integral In Geometry, Science, And EngineeringChapter 6.1 - Area Between Two CurvesChapter 6.2 - Volumes By Slicing; Disks And WashersChapter 6.3 - Volumes By Cylindrical ShellsChapter 6.4 - Length Of A Plane CurveChapter 6.5 - Area Of A Surface Of RevolutionChapter 6.6 - WorkChapter 6.7 - Moments, Centers Of Gravity, And CentroidsChapter 6.8 - Fluid Pressure And ForceChapter 6.9 - Hyperbolic Functions And Hanging CablesChapter 7 - Principles Of Integral EvaluationChapter 7.1 - An Overview Of Integration MethodsChapter 7.2 - Integration By PartsChapter 7.3 - Integrating Trigonometric FunctionsChapter 7.4 - Trigonometric SubstitutionsChapter 7.5 - Integrating Rational Functions By Partial FractionsChapter 7.6 - Using Computer Algebra Systems And Tables Of IntegralsChapter 7.7 - Numerical Integration; Simpson’s RuleChapter 7.8 - Improper IntegralsChapter 8 - Mathematical Modeling With Differential EquationsChapter 8.1 - Modeling With Differential EquationsChapter 8.2 - Separation Of VariablesChapter 8.3 - Slope Fields; Euler’s MethodChapter 8.4 - First-order Differential Equations And ApplicationsChapter 9 - Infinite SeriesChapter 9.1 - SequencesChapter 9.2 - Monotone SequencesChapter 9.3 - Infinite SeriesChapter 9.4 - Convergence TestsChapter 9.5 - The Comparison, Ratio, And Root TestsChapter 9.6 - Alternating Series; Absolute And Conditional ConvergenceChapter 9.7 - Maclaurin And Taylor PolynomialsChapter 9.8 - Maclaurin And Taylor Series; Power SeriesChapter 9.9 - Convergence Of Taylor SeriesChapter 9.10 - Differentiating And Integrating Power Series; Modeling With Taylor SeriesChapter 10 - Parametric And Polar Curves; Conic SectionsChapter 10.1 - Parametric Equations; Tangent Lines And Arc Length For Parametric CurvesChapter 10.2 - Polar CoordinatesChapter 10.3 - Tangent Lines, Arc Length, And Area For Polar CurvesChapter 10.4 - Conic SectionsChapter 10.5 - Rotation Of Axes; Second-degree EquationsChapter 10.6 - Conic Sections In Polar CoordinatesChapter 11 - Three-dimensional Space; VectorsChapter 11.1 - Rectangular Coordinates In 3-space; Spheres; Cylindrical SurfacesChapter 11.2 - VectorsChapter 11.3 - Dot Product; ProjectionsChapter 11.4 - Cross ProductChapter 11.5 - Parametric Equations Of LinesChapter 11.6 - Planes In 3-spaceChapter 11.7 - Quadric SurfacesChapter 11.8 - Cylindrical And Spherical CoordinatesChapter 12 - Vector-valued FunctionsChapter 12.1 - Introduction To Vector-valued FunctionsChapter 12.2 - Calculus Of Vector-valued FunctionsChapter 12.3 - Change Of Parameter; Arc LengthChapter 12.4 - Unit Tangent, Normal, And Binormal VectorsChapter 12.5 - CurvatureChapter 12.6 - Motion Along A CurveChapter 12.7 - Kepler’s Laws Of Planetary MotionChapter 13 - Partial DerivativesChapter 13.1 - Functions Of Two Or More VariablesChapter 13.2 - Limits And ContinuityChapter 13.3 - Partial DerivativesChapter 13.4 - Differentiability, Differentials, And Local LinearityChapter 13.5 - The Chain RuleChapter 13.6 - Directional Derivatives And GradientsChapter 13.7 - Tangent Planes And Normal VectorsChapter 13.8 - Maxima And Minima Of Functions Of Two VariablesChapter 13.9 - Lagrange MultipliersChapter 14 - Multiple IntegralsChapter 14.1 - Double IntegralsChapter 14.2 - Double Integrals Over Nonrectangular RegionsChapter 14.3 - Double Integrals In Polar CoordinatesChapter 14.4 - Surface Area; Parametric SurfacesChapter 14.5 - Triple IntegralsChapter 14.6 - Triple Integrals In Cylindrical And Spherical CoordinatesChapter 14.7 - Change Of Variables In Multiple Integrals; JacobiansChapter 14.8 - Centers Of Gravity Using Multiple IntegralsChapter 15 - Topics In Vector CalculusChapter 15.1 - Vector FieldsChapter 15.2 - Line IntegralsChapter 15.3 - Independence Of Path; Conservative Vector FieldsChapter 15.4 - Green’s TheoremChapter 15.5 - Surface IntegralsChapter 15.6 - Applications Of Surface Integrals; FluxChapter 15.7 - The Divergence TheoremChapter 15.8 - Stokes’ Theorem
Book Details
Calculus: Early Transcendentals, 11th Edition strives to increase student comprehension and conceptual understanding through a balance between rigor and clarity of explanations; sound mathematics; and excellent exercises, applications, and examples. Anton pedagogically approaches Calculus through the Rule of Four, presenting concepts from the verbal, algebraic, visual, and numerical points of view. This text is an unbound, three hole punched version. Access to WileyPLUS sold separately.
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