Calculus: Early Transcendentals3rd EditionJon Rogawski, Colin Adams Publisher: W. H. FreemanISBN: 9781464114885
Calculus: Early Transcendentals
Solutions for Calculus: Early Transcendentals
Browse All Chapters of This Textbook
Chapter 1 - Precalculus ReviewChapter 1.1 - Real Numbers, Functions, And GraphsChapter 1.2 - Linear And Quadratic FunctionsChapter 1.3 - The Basic Classes Of FunctionsChapter 1.4 - Trigonometric FunctionsChapter 1.5 - Inverse FunctionsChapter 1.6 - Exponential And Logarithmic FunctionsChapter 1.7 - Technology: Calculators And ComputersChapter 2 - LimitsChapter 2.1 - Limits, Rates Of Change, And Tangent Lines
Chapter 2.2 - Limits: A Numerical And Graphical ApproachChapter 2.3 - Basic Limit LawsChapter 2.4 - Limits And ContinuityChapter 2.5 - Evaluating Limits AlgebraicallyChapter 2.6 - Trigonometric LimitsChapter 2.7 - Limits At InfinityChapter 2.8 - Intermediate Value TheoremChapter 2.9 - The Formal Definition Of A LimitChapter 3 - DifferentiationChapter 3.1 - Definition Of The DerivativeChapter 3.2 - The Derivative As A FunctionChapter 3.3 - Product And Quotient RulesChapter 3.4 - Rates Of ChangeChapter 3.5 - Higher DerivativesChapter 3.6 - Trigonometric FunctionsChapter 3.7 - The Chain RuleChapter 3.8 - Implicit DifferentiationChapter 3.9 - Derivatives Of General Exponential And Logarithmic FunctionsChapter 3.10 - Related RatesChapter 4 - Applications Of The DerivativeChapter 4.1 - Linear Approximation And ApplicationsChapter 4.2 - Extreme ValuesChapter 4.3 - The Mean Value Theorem And MonotonicityChapter 4.4 - The Shape Of A GraphChapter 4.5 - L’Hoˆpital’s RuleChapter 4.6 - Graph Sketching And AsymptotesChapter 4.7 - Applied OptimizationChapter 4.8 - Newton’s MethodChapter 5 - The IntegralChapter 5.1 - Approximating And Computing AreaChapter 5.2 - The Definite IntegralChapter 5.3 - The Indefinite IntegralChapter 5.4 - The Fundamental Theorem Of Calculus, Part IChapter 5.5 - The Fundamental Theorem Of Calculus, Part IiChapter 5.6 - Net Change As The Integral Of A Rate Of ChangeChapter 5.7 - Substitution MethodChapter 5.8 - Further Transcendental FunctionsChapter 5.9 - Exponential Growth And DecayChapter 6 - Applications Of The IntegralChapter 6.1 - Area Between Two CurvesChapter 6.2 - Setting Up Integrals: Volume, Density, Average ValueChapter 6.3 - Volumes Of RevolutionChapter 6.4 - The Method Of Cylindrical ShellsChapter 6.5 - Work And EnergyChapter 7 - Techniques Of IntegrationChapter 7.1 - Integration By PartsChapter 7.2 - Trigonometric IntegralsChapter 7.3 - Trigonometric SubstitutionChapter 7.4 - Integrals Involving Hyperbolic And Inverse Hyperbolic FunctionsChapter 7.5 - The Method Of Partial FractionsChapter 7.6 - Strategies For IntegrationChapter 7.7 - Improper IntegralsChapter 7.8 - Probability And IntegrationChapter 7.9 - Numerical IntegrationChapter 8 - Further Applications Of The Integral And Taylor PolynomialsChapter 8.1 - Arc Length And Surface AreaChapter 8.2 - Fluid Pressure And ForceChapter 8.3 - Center Of MassChapter 8.4 - Taylor PolynomialsChapter 9 - Introduction Of Differential EquationsChapter 9.1 - Solving Differential EquationsChapter 9.2 - Models Involving y? = k(y ? b)Chapter 9.3 - Graphical And Numerical MethodsChapter 9.4 - The Logistic EquationChapter 9.5 - First-Order Linear EquationsChapter 10 - Infinite SeriesChapter 10.1 - SequencesChapter 10.2 - Summing An Infinite SeriesChapter 10.3 - Convergence Of Series With Positive TermsChapter 10.4 - Absolute And Conditional ConvergenceChapter 10.5 - The Ratio And Root Tests And Strategies For Choosing TestsChapter 10.6 - Power SeriesChapter 10.7 - Taylor SeriesChapter 11 - Parametric Equations, Polar Coordinates, And Conic SectionsChapter 11.1 - Parametric EquationsChapter 11.2 - Arc Length And SpeedChapter 11.3 - Polar CoordinatesChapter 11.4 - Area And Arc Length In Polar CoordinatesChapter 11.5 - Conic SectionsChapter 12 - Vector GeometryChapter 12.1 - Vectors In The PlaneChapter 12.2 - Vectors In Three DimensionsChapter 12.3 - Dot Product And The Angle Between Two VectorsChapter 12.4 - The Cross ProductChapter 12.5 - Planes In 3-SpaceChapter 12.6 - A Survey Of Quadric SurfacesChapter 12.7 - Cylindrical And Spherical CoordinatesChapter 13 - Calculus Of Vector-Valued FunctionsChapter 13.1 - Vector-Valued FunctionsChapter 13.2 - Calculus Of Vector-Valued FunctionsChapter 13.3 - Arc Length And SpeedChapter 13.4 - CurvatureChapter 13.5 - Motion In 3-SpaceChapter 13.6 - Planetary Motion According To Kepler And NewtonChapter 14 - Differentiation In Several VariablesChapter 14.1 - Functions Of Two Or More VariablesChapter 14.2 - Limits And Continuity In Several VariablesChapter 14.3 - Partial DerivativesChapter 14.4 - Differentiability And Tangent PlanesChapter 14.5 - The Gradient And Directional DerivativesChapter 14.6 - The Chain RuleChapter 14.7 - Optimization In Several VariablesChapter 14.8 - Lagrange Multipliers: Optimizing With A ConstraintChapter 15 - Multiple IntegrationChapter 15.1 - Integration In Two VariablesChapter 15.2 - Double Integrals Over More General RegionsChapter 15.3 - Triple IntegralsChapter 15.4 - Integration In Polar, Cylindrical, And Spherical CoordinatesChapter 15.5 - Applications Of Multiple IntegralsChapter 15.6 - Change Of VariablesChapter 16 - Line And Surface IntegralsChapter 16.1 - Vector FieldsChapter 16.2 - Line IntegralsChapter 16.3 - Conservative Vector FieldsChapter 16.4 - Parametrized Surfaces And Surface IntegralsChapter 16.5 - Surface Integrals Of Vector FieldsChapter 17 - Fundamental Theorems Of Vector AnalysisChapter 17.1 - Green’s TheoremChapter 17.2 - Stokes’ TheoremChapter 17.3 - Divergence TheoremChapter A - The Language Of MathematicsChapter C - Induction And The Binomial Theorem
Book Details
The most successful calculus book of its generation, Jon Rogawski’s
Calculus offers an ideal balance of formal precision and dedicated conceptual focus, helping students build strong computational skills while continually reinforcing the relevance of calculus to their future studies and their lives.
Guided by new author Colin Adams, the new edition stays true to the late Jon Rogawski’s refreshing and highly effective approach, while drawing on extensive instructor and student feedback, and Adams’ three decades as a calculus teacher and author of math books for general audiences.
The new edition is also a fully integrated text/media package, with its own dedicated version of LaunchPad, W. H. Freeman’s breakthrough online course space.
Sample Solutions for this Textbook
We offer sample solutions for Calculus: Early Transcendentals homework problems. See examples below:
The absolute value, also defined as modulus |x|, of any real number x, is referred to as the...Given: s(t)=t2+1t∈[2,5] Formula used: Average velocity = Displacement ChangeTime ChangeInstantaneous...Given: The graph of the function is Formula used: The average rate of change of f(x) over [a,b] is,...Given: The expression is 8.113−2. Formula used: Linear Approximation: Δf=f′(a)Δx Calculation: The...Given: The function graph is shown Formula used: L4=h∑k=03f(xk) M4=h∑k=04f(xk*) h=b−an Calculation:...Given: The figure is: The functions are y=2−x2 and y=−2. Formula used: Area of the region...Compare the integrals and the functions without evaluating the integrals to identify the correct...Given: The following function is given y=x510+x−36 …(1) over the interval [1,2] Formula Used:...Initially check for linearity. Then observe the higher order derivative to determine the order of...
Given: an = n−3n! Calculation: Here, we have an = n−3n!⇒an2 =(n−3n!)2 The first three terms of an2...Given: a. c(t)=(t2,t+3) b. c(t)=(t2,t−3). c. c(t)=(t2,3−t) d. c(t)=(t−3,t2) Calculation: Assume...Given: v=〈−2,5〉 w=〈3,−2〉 Key concepts applied: Vector operations Vector addition To add the vectors...Given: We have been given a vector valued function: r1(t)=〈t−1,(t+1)−1,sin−1t〉 Key concepts used:...Domain: The domain of the function is defined as the set of complete possible values which will make...Explanation: Given: f(x)=e−x−e−axx for a>0 Calculation: Step 1: The function...Given: The integral: ∫14∫26x2y dx dy Formulas: Sm,n=∑i=1m∑j=1nf(xi,yj)ΔA Where ΔA=Δx⋅ΔyΔx=b−am and...Given: The given vector field is F→=〈xy,y−x〉 Calculation: Here, F→=〈xy,y−x〉 Vector assigned to the...Given: A multivariable vector field f(x,y)=〈x+y2,x2−y〉. A unit circle C oriented counter-clockwise....Given: A⇒B (A conditional statement) Options are: (a)B⇒A (b)~B⇒A (c)~B⇒~A (d)~A ⇒~ B Definition: The...Given info. 1+2+3+..............+n=n(n+1)2 If (1) the statement is true for n=1 and (2) When a...
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