Calculus - Standalone book3rd EditionJon Rogawski, Colin Adams Publisher: W.H. Freeman & CoISBN: 9781464125263
Calculus - Standalone book
Solutions for Calculus - Standalone book
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 - Technology: Calculators And ComputersChapter 2 - LimitsChapter 2.1 - Limits: Rates Of Change, And Tangent LinesChapter 2.2 - Limits: A Numerical And Graphical ApproachChapter 2.3 - Basic Limit Laws
Chapter 2.4 - Limits And ContinuityChapter 2.5 - Evaluating Limits AlgebraicallyChapter 2.6 - Trignometric 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 - 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 - Graph Sketching And AsymptotesChapter 4.6 - Applied OptimizationChapter 4.7 - Newton's MethodChapter 5 - IntegrationChapter 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 - The Substitution MethodChapter 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 Methods Of Cylindrical ShellsChapter 6.5 - Work And EnergyChapter 7 - Exponential FunctionsChapter 7.1 - Derivative Of F(x) = B^x And The Number EChapter 7.2 - Inverse FunctionsChapter 7.3 - Logarithmic Functions And Their DerivativesChapter 7.4 - Exponential Growth And DecayChapter 7.5 - Compound Interest And Present ValueChapter 7.6 - Models Involving Y′ = K(y − B)Chapter 7.7 - L'hospital's RultChapter 7.8 - Inverse Trigonometric FunctionsChapter 7.9 - Hyperbolic FunctionsChapter 8 - Techniques Of IntegrationChapter 8.1 - Integration By PartsChapter 8.2 - Trigonometric IntegralsChapter 8.3 - Trigonometric SubstitutionChapter 8.4 - Integrals Involving Hyperbolic And Inverse Hyperbolic FunctionsChapter 8.5 - The Method Of Partial FractionsChapter 8.6 - Strategies For IntegrationChapter 8.7 - Improper IntegralsChapter 8.8 - Probability And IntegrationChapter 8.9 - Numerical IntegrationChapter 9 - Further Applications Of The Integral And Taylor PolynomialsChapter 9.1 - Arc Length And Surface AreaChapter 9.2 - Fluid Pressure And ForceChapter 9.3 - Center Of MassChapter 9.4 - Taylor PolynomialsChapter 10 - Introduction To Differential EquationsChapter 10.1 - Solving Differential EquationsChapter 10.2 - Graphical And Numerical MethodsChapter 10.3 - The Logistic EquationChapter 10.4 - First-order Linear EquationsChapter 11 - Infinite SeriesChapter 11.1 - SequencesChapter 11.2 - Summing An Infinite SeriesChapter 11.3 - Convergence Of Series With Positive TermsChapter 11.4 - Absolute And Conditional ConvergenceChapter 11.5 - The Ratio And Root Tests And Strategies For Choosing TestsChapter 11.6 - Power SeriesChapter 11.7 - Taylor SeriesChapter 12 - Parametric Equations, Polar Coordinates, And Conic SectionsChapter 12.1 - Parametric EquationsChapter 12.2 - Arc Length And SpeedChapter 12.3 - Polar CoordinatesChapter 12.4 - Area And Arc Length In Polar CoordinatesChapter 12.5 - Conic SectionsChapter 13 - Vector GeometryChapter 13.1 - Vectors In The PlaneChapter 13.2 - Vectors In Three DimensionsChapter 13.3 - Dot Product And The Angle Between Two VectorsChapter 13.4 - The Cross ProductChapter 13.5 - Planes In 3-spaceChapter 13.6 - A Survey Of Quadric SurfacesChapter 13.7 - Cylindrical And Spherical CoordinatesChapter 14 - Calculus Of Vector-valued FunctionsChapter 14.1 - Vector-valued FunctionsChapter 14.2 - Calculus Of Vector-valued FunctionsChapter 14.3 - Arc Length And SpeedChapter 14.4 - CurvatureChapter 14.5 - Motion In 3-spaceChapter 14.6 - Planetary Motion According To Kepler And NewtonChapter 15 - Differentiation In Several VariablesChapter 15.1 - Functions Of Two Or More VariablesChapter 15.2 - Limits And Continuity In Several VariablesChapter 15.3 - Partial DerivativesChapter 15.4 - Differentiability And Tangent PlanesChapter 15.5 - The Gradient And Directional DerivativesChapter 15.6 - The Chain RulesChapter 15.7 - Optimization In Several VariablesChapter 15.8 - Lagrange Multipliers: Optimizing With A ConstraintChapter 16 - Multiple IntegrationChapter 16.1 - Integration In Two VariablesChapter 16.2 - Double Integrals Over More General RegionsChapter 16.3 - Triple IntegralsChapter 16.4 - Integration In Polar, Cylindrical, And Spherical CoordinatesChapter 16.5 - Applications Of Multiple IntegralsChapter 16.6 - Change Of VariablesChapter 17 - Line And Surface IntegralsChapter 17.1 - Vector FieldsChapter 17.2 - Line IntegralsChapter 17.3 - Conservative Vector FieldsChapter 17.4 - Parametrized Surfaces And Surface IntegralsChapter 17.5 - Surface Integrals Of Vector FieldsChapter 18 - Fundamental Theorems Of Vector AnalysisChapter 18.1 - Green’s TheoremChapter 18.2 - Stokes’ TheoremChapter 18.3 - 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 - Standalone book 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...Given: The given equation is 2a3b The resultant equations are: i.2ab;ii.6a+b;iii.(23)a−b...Compare the integrals and the functions without evaluating the integrals to identify the correct...Given: y=x510+x−36, [1 , 2]. Concept used: The arc length s of y=f(x) over [a , b] is, s=∫ab1+ [ f ′...
Given information:The differential equation is y'=y5−3x4y . Definition used:The order of a...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...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...
More Editions of This Book
Corresponding editions of this textbook are also available below:
CALCULUS LL+ACHIEVE 4 TERM >CSI CUSTOM<
21st Edition
ISBN: 9781319438357
EBK CALCULUS
2nd Edition
ISBN: 8220101443229
CALCULUS EBK W/WEBASSIGN >I<
3rd Edition
ISBN: 9781319049119
CALC LT 3E C & WA PREM ACCESS & FLY
3rd Edition
ISBN: 9781319111960
CALCULUS W/WEBASSIGN >IC<
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ISBN: 9781319048532
Calculus
3rd Edition
ISBN: 9781319116446
EBK CALCULUS
4th Edition
ISBN: 9781319055844
ACHIEVE STANDALONE ACCESS F/ CALC 4E
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ISBN: 9781319434540
CALCULUS 4E (LL) W/ ACHIEVE ACCESS
4th Edition
ISBN: 9781319434526
CALCULUS W/SAPLING ACCESS >IC<
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ISBN: 9781319323394
CALCULUS EBOOK W/SAPLING ACCESS
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ISBN: 9781319336400
CALCULUS (CLOTH)
4th Edition
ISBN: 9781319050733
CALCULUS LL+ACHIEVE 1 TERM >CSI CUSTOM<
4th Edition
ISBN: 9781319411671
CALCULUS W/WEBASSIGN (3 SEMESTER) >IC<
17th Edition
ISBN: 9781319045319
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