Solutions for Calculus
Browse All Chapters of This Textbook
Chapter 1 - Function And GraphsChapter 1.1 - What Is CalculusChapter 1.2 - PreliminariesChapter 1.3 - Lines In The Plane; Parametric FunctionsChapter 1.4 - Functions And GraphsChapter 1.5 - Inverse Functions; Inverse Trigonometric FunctionsChapter 2 - Limits And ContinuityChapter 2.1 - The Limits Of A FunctionChapter 2.2 - Algebraic Computation Of LimitsChapter 2.3 - Continuity
Chapter 2.4 - Exponential And Logarithmic FunctionsChapter 3 - DifferentiationChapter 3.1 - An Introduction Ro The Derivative: TangentsChapter 3.2 - Techniques Of DifferentiationChapter 3.3 - Derivatives Of Trigonometic, Exponential, And Logarithmic FunctionsChapter 3.4 - Rates Of Change: Modeling Rectilinear MotionChapter 3.5 - The Chain RuleChapter 3.6 - Implicit DifferentiationChapter 3.7 - Related Rates And ApplicationsChapter 3.8 - Linear Approximation And DifferentialsChapter 4 - Additional Applications Of The DerivativeChapter 4.1 - Extreme Values Of A Continuous FunctionChapter 4.2 - The Mean Value TheoremChapter 4.3 - Using Derivatives To Sketch The Graph Of A FunctionChapter 4.4 - Curve Skeching With Asymptotes: Limits Involving InfinityChapter 4.5 - I'hopital's RuleChapter 4.6 - Optimization In The Physical Sciences And EngineeringChapter 4.7 - Optimization In Business, Economics, And The Life SciencesChapter 5 - IntegrationChapter 5.1 - AntidifferentiationChapter 5.2 - Area As The Limit Of A SumChapter 5.3 - Rieman Sums And The Definite IntegralChapter 5.4 - The Fundamental By SubstitutionChapter 5.5 - Integration By SubstitutionChapter 5.6 - Introduction To Differential EquationsChapter 5.7 - The Mean Value Theorem For Integrals; Average ValueChapter 5.8 - Numerical Integration: The Trapezoidal Rule And Simpson's RuleChapter 5.9 - An Alternative Approach: The Logarithm As An IntegralChapter 6 - Additional Applications Of The IntegralChapter 6.1 - Area Between Two CurvesChapter 6.2 - VolumeChapter 6.3 - Polar Forms And AreaChapter 6.4 - Arc Length And Surface AreaChapter 6.5 - Physical Application: Work, Liquid Force, And CentriodsChapter 6.6 - Applications To Business, Economics, And Life SciencesChapter 7 - Methods Of IntegrationChapter 7.1 - Review Of Substitution And Integration By TableChapter 7.2 - Integration By PartsChapter 7.3 - Trigonometric MethodsChapter 7.4 - Methods Of Partial FractionsChapter 7.5 - Summary Of Integration TechniquesChapter 7.6 - First-order Differential EquationsChapter 7.7 - Improper IntegralsChapter 7.8 - Hyperbolic And Inverse Hyperbolic FunctionsChapter 8 - Infinite SeriesChapter 8.1 - Sequences And Their LimitsChapter 8.2 - Introduction To Infinite Series; Geometric SeriesChapter 8.3 - The Integral Test; P SeriesChapter 8.4 - Comparison TestsChapter 8.5 - The Ratio Test And The Root TestChapter 8.6 - Alternating Series; Absolute And Conditional ConvergenceChapter 8.7 - Power SeriesChapter 8.8 - Taylor And Maclaurin SeriesChapter 9 - Vectors In The Plane And In SpaceChapter 9.1 - Vectors In R2Chapter 9.2 - Coordinates And Vectors In R3Chapter 9.3 - The Dot ProductChapter 9.4 - The Cross ProductChapter 9.5 - Lines In R3Chapter 9.6 - Planes In R3Chapter 9.7 - Quadric SurfacesChapter 10 - Vector-valued FunctionsChapter 10.1 - Introduction To Vector FunctionsChapter 10.2 - Differentiation And Integration Of Vector FunctionsChapter 10.3 - Modeling Ballistics And Planetary MotionChapter 10.4 - Unit Tangent And Principal Unit Normal Vectors; CurvatureChapter 10.5 - Tangential And Normal Componenets Of AccelerationChapter 11 - Partial DifferentiationChapter 11.1 - Functions Of Several VariablesChapter 11.2 - Limits And ContinuityChapter 11.3 - Partial DerivativesChapter 11.4 - Tangent Planes, Approxiamtions, And DifferentiabilityChapter 11.5 - Chain RulesChapter 11.6 - Directional Derivatives And The GradientChapter 11.7 - Extrema Of Functions Of Two VariabelsChapter 11.8 - Lagrange MultipliersChapter 12 - Multiple IntegrationChapter 12.1 - Double Integration Over Rectangular RegionsChapter 12.2 - Double Integration Over Nonrectangular RegionsChapter 12.3 - Double Integrals In Polar CoordinatesChapter 12.4 - Surface AreaChapter 12.5 - Triple IntegralChapter 12.6 - Mass, Moments, And Probability Density FunctionsChapter 12.7 - Cylindrical And Spherical CoordinatesChapter 12.8 - Jacobians: Change Of VariablesChapter 13 - Vector AnalysisChapter 13.1 - Properties Of A Vector Field: Divergence And CurlChapter 13.2 - Line IntegralsChapter 13.3 - The Fundamental Theorem And Path IndependenceChapter 13.4 - Green's TheoremChapter 13.5 - Surface IntegralsChapter 13.6 - Storkes' Theorem And ApplicationsChapter 13.7 - Divergence Theorem And ApplicationsChapter 14 - Introduction To Differential EquationsChapter 14.1 - First-order Differential EquationsChapter 14.2 - Second-order Homogeneous Linear Differential EquationsChapter 14.3 - Second-order Nonhomogeneous Linear Differential EquationsChapter E - TrigonometryChapter F - ParabolasChapter G - EllipsesChapter H - HyperbolasChapter I - Determinants
Sample Solutions for this Textbook
We offer sample solutions for Calculus homework problems. See examples below:
Explantion: Natural Numbers: All positive integers (other than zero) are said to be natural numbers....Calculation: Let the function f(x) . The limit of a function f(x) is L and L∈R , as x approaches c,...A tangent to a function f(x) at the point x =a is a line that just touches the graph of the function...Given information: The absolute and relative extrema of a function. Relative extrema is the extreme...Given:The antiderivative. The reverese order of derivative is called antideriavtive. g...The process for finding the area between two curves: Suppose f and g are functions such that...The method of integration by substitution or change of variables is based on the chain rule for...A sequence is a function whose domain is the set of natural numbers or some subset of it. For...A Vector is a quantity that has both magnitude and direction. A vector PQ is represented as a...
A vector valued function F of a real variable with domain D assigns each number t∈D with a unique...Function of two variables is a function whose inputs are points (x,y) in the xy plane and whose...Double integrals are a methods to integrate over a two-dimensional area. Consider a function of two...In vector calculus and physics, a vector field is an assignment of a vector to each point in a...A separable differential equation is one that can be broken into a set of separate equations of...Given: The given table is Calculation: 180°=πc1°=πc180−45°=πc180×−45°=−πc4sin(− 45°)=−sin(...Given: The distance between the focus and the directrix is the 4 . Calculation: A parabola is the...Given: The distance between two foci is 10 units and the curve with the sum of the distances from...Given: The distance between two foci is 10 units and the curve with the difference of the distances...Given: The given determinant is |−5−342| Calculation: If A=[abcd] is a 2×2 matrix. Then, |A|=| a b c...
More Editions of This Book
Corresponding editions of this textbook are also available below:
Calculus
6th Edition
ISBN: 9781465208880
Calculus: Special Edition: Chapters 1-5 (w/ WebAssign)
6th Edition
ISBN: 9781524908102
Calculus: Special Edition: Chapters 1-5
6th Edition
ISBN: 9781524971359
Student's Solution Manual and Survival Manual for Calculus
6th Edition
ISBN: 9781465241658
CALCULUS SPEC ED CHAP 5-8,11,12,14 W/A
7th Edition
ISBN: 9781524971434
Calculus: Special Edition Chapters 5-8, 11, 12, 14 (w/ Webassign)
6th Edition
ISBN: 9781524908119
Calculus
4th Edition
ISBN: 9780073383118
CALCULUS I SPEC EDITION EBK
7th Edition
ISBN: 9781524973803
Student's Solution and Survival Manual for Calculus
7th Edition
ISBN: 9781524934040
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