Calculus (MindTap Course List)8th EditionJames Stewart Publisher: Cengage LearningISBN: 9781285740621
Calculus (MindTap Course List)
Solutions for Calculus (MindTap Course List)
Problem 1E:
A curve has equation y=f(x). a Write an expression for the slope of the secant line through the...Problem 2E:
Graph the curve y=sinx in the viewing rectangles [2,2] by [2,2],[1,1] by [1,1], and [0.5,0.5] by...Problem 3E:
a Find the slope of the tangent line to the parabola y=4xx2 at the point 1, 3 i using Definition 1...Problem 4E:
a Find the slope of the tangent line to the curve y=xx3 at the point 1, 0 i using Definition 1 ii...Problem 9E:
a Find the slope of the tangent to the curve y=3+4x22x3 at the point where x=a. b Find equations of...Problem 10E:
a Find the slope of the tangent to the curve y=1/x at the point where x=a. b Find equations of the...Problem 11E:
a A particle starts by moving to the right along a horizontal line; the graph of its position...Problem 12E:
Shown are graphs of the position functions of two runners. A and B, who run a 100-meter race and...Problem 13E:
If a ball is thrown into the air with a velocity of 40 ft/s, its height in feet after t seconds is...Problem 14E:
If a rock is thrown upward on the planet Mars with a velocity of 10 m/s, its height in meters after...Problem 16E:
The displacement in feet of a particle moving in a straight line is given by s=12t26t+23, where t is...Problem 18E:
The graph of a function f is shown. a Find the average rate of change of f on the interval 20, 60. b...Problem 20E:
Find an equation of the tangent line to the graph of y=g(x) at x=5 if g(5)=3 and g(5)=4.Problem 21E:
If an equation of the tangent line to the curve y=f(x) at the point where a=2 is y=4x5, find f(2)...Problem 22E:
If the tangent line to y=f(x) at 4, 3 passes through the point 0, 2, find f(4) and f(4).Problem 24E:
Sketch the graph of a function g for which g(0)=g(2)=g(4)=0, g(1)=g(3)=0, g(0)=g(4)=1, g(2)=1,...Problem 25E:
Sketch the graph of a function g that is continuous on its domain (5,5) and where g(0)=1, g(0)=1,...Problem 33E:
Find f(a). f(x)=2t+1t+3Problem 35E:
Find f(a). f(x)=12xProblem 37E:
Each limit represents the derivative of some function f at some number a. State such an f and a in...Problem 39E:
Each limit represents the derivative of some function f at some number a. State such an f and a in...Problem 44E:
A particle moves along a straight line with equation of motion s=f(t), where s is measured in meters...Problem 46E:
A roast turkey is taken from an oven when its temperature has reached 185F and is placed on a table...Problem 47E:
Researchers measured the average blood alcohol concentration Ct of eight men starting one hour after...Problem 50E:
The table shows values of the viral load V(t) in HIV patient 303, measured in RNA copies/mL, t days...Problem 51E:
The cost in dollars of producing x units of a certain commodity is C(x)=5000+10x+0.05x2. a Find the...Problem 52E:
If a cylindrical tank holds 100, 000 gallons of water, which can be drained from the bottom of the...Problem 53E:
The cost of producing x ounces of gold from a new gold mine is C=f(x) dollars. a What is the meaning...Problem 54E:
The number of bacteria after t hours in a controlled laboratory experiment is n=f(t). a What is the...Problem 55E:
Let H(t) be the daily cost in dollars to heat an office building when the outside temperature is t...Problem 56E:
The quantity in pounds of a gourmet ground coffee that is sold by a coffee company at a price of p...Problem 57E:
The quantity of oxygen that can dissolve in water depends on the temperature of the water. So...Browse All Chapters of This Textbook
Chapter 1.1 - Four Ways To Represent A FunctionChapter 1.2 - Mathematical Models: A Catalog Of Essential FunctionsChapter 1.3 - New Functions From Old FunctionsChapter 1.4 - The Tangent And Velocity ProblemsChapter 1.5 - The Limit Of A FunctionChapter 1.6 - Calculating Limits Using The Limit LawsChapter 1.7 - The Precise Definition Of A LimitChapter 1.8 - ContinuityChapter 1.R - ReviewChapter 1.PPS - Principles Of Problem Solving
Chapter 2.1 - Derivatives And Rates Of ChangeChapter 2.2 - The Derivative As A FunctionChapter 2.3 - Differentiation FormulasChapter 2.4 - Derivatives Of Trigonometric FunctionsChapter 2.5 - The Chain RuleChapter 2.6 - Implicit DifferentiationChapter 2.7 - Rates Of Change In The Natural And Social SciencesChapter 2.8 - Related RatesChapter 2.9 - Linear Approximations And DifferentialsChapter 2.R - ReviewChapter 2.P - Problem PlusChapter 3.1 - Maximum And Minimum ValuesChapter 3.2 - The Mean Value TheoremChapter 3.3 - How Derivatives Affect The Shape Of A GraphChapter 3.4 - Limits At Infinity; Horizontal AsymptotesChapter 3.5 - Summary Of Curve SketchingChapter 3.6 - Graphing With Calculus And CalculatorsChapter 3.7 - Optimization ProblemsChapter 3.8 - Newton's MethodChapter 3.9 - AntiderivativesChapter 3.R - ReviewChapter 3.P - Problem PlusChapter 4.1 - Areas And DistancesChapter 4.2 - The Definite IntegralChapter 4.3 - The Fundamental Theorem Of CalculusChapter 4.4 - Indefinite Integrals And The Net Change TheoremChapter 4.5 - The Substitution RuleChapter 4.R - ReviewChapter 4.P - Problem PlusChapter 5.1 - Areas Between CurvesChapter 5.2 - VolumesChapter 5.3 - Volumes By Cylindrical ShellsChapter 5.4 - WorkChapter 5.5 - Average Value Of A FunctionChapter 5.R - ReviewChapter 5.P - Problem PlusChapter 6.1 - Inverse FunctionsChapter 6.2 - Exponential Functions And Their DerivativesChapter 6.3 - Logarithmic FunctionsChapter 6.4 - Derivatives Of Logarithmic FunctionsChapter 6.2Star - The Natural Logarithmic FunctionChapter 6.3Star - The Natural Exponential FunctionChapter 6.4Star - General Logarithmic And Exponential FunctionsChapter 6.5 - Exponential Growth And DecayChapter 6.6 - Inverse Trigonometric FunctionsChapter 6.7 - Hyperbolic FunctionsChapter 6.8 - Indeterminate Forms And I'hospital's RuleChapter 6.R - ReviewChapter 6.P - Problem PlusChapter 7.1 - Integration By PartsChapter 7.2 - Trigonometric IntegralsChapter 7.3 - Trigonometric SubstitutionChapter 7.4 - Integration Of Rational Functions By Partial FractionsChapter 7.5 - Strategy For IntegrationChapter 7.6 - Integration Using Tables And Computer Algebra SystemsChapter 7.7 - Approximate IntegrationChapter 7.8 - Improper IntegralsChapter 7.R - ReviewChapter 7.P - Problem PlusChapter 8.1 - Arc LengthChapter 8.2 - Area Of A Surface Of RevolutionChapter 8.3 - Applications To Physics And EngineeringChapter 8.4 - Applications To Economics And BiologyChapter 8.5 - ProbabilityChapter 8.R - ReviewChapter 8.P - Problem PlusChapter 9.1 - Modeling With Differential EquationsChapter 9.2 - Direction Fields And Euler’s MethodChapter 9.3 - Separable EquationsChapter 9.4 - Models For Population GrowthChapter 9.5 - Linear EquationsChapter 9.6 - Predator-prey SystemsChapter 9.R - ReviewChapter 9.P - Problem PlusChapter 10.1 - Curves Defined By Parametric EquationsChapter 10.2 - Calculus With Parametric CurvesChapter 10.3 - Polar CoordinatesChapter 10.4 - Areas And Lengths In Polar CoordinatesChapter 10.5 - Conic SectionsChapter 10.6 - Conic Sections In Polar CoordinatesChapter 10.R - ReviewChapter 10.P - Problem PlusChapter 11.1 - SequencesChapter 11.2 - SeriesChapter 11.3 - The Integral Test And Estimates Of SumsChapter 11.4 - The Comparison TestsChapter 11.5 - Alternating SeriesChapter 11.6 - Absolute Convergence And The Ratio And Root TestsChapter 11.7 - Strategy For Testing SeriesChapter 11.8 - Power SeriesChapter 11.9 - Representations Of Functions As Power SeriesChapter 11.10 - Taylor And Maclaurin SeriesChapter 11.11 - Applications Of Taylor PolynomialsChapter 11.R - ReviewChapter 11.P - Problem PlusChapter 12.1 - Three-dimensional Coordinate SystemsChapter 12.2 - VectorsChapter 12.3 - The Dot ProductChapter 12.4 - The Cross ProductChapter 12.5 - Equations Of Lines And PlanesChapter 12.6 - Cylinders And Quadric SurfacesChapter 12.R - ReviewChapter 12.P - Problem PlusChapter 13.1 - Vector Functions And Space CurvesChapter 13.2 - Derivatives And Integrals Of Vector FunctionsChapter 13.3 - Arc Length And CurvatureChapter 13.4 - Motion In Space: Velocity And AccelerationChapter 13.R - ReviewChapter 13.P - Problem PlusChapter 14.1 - Functions Of Several VariablesChapter 14.2 - Limits And ContinuityChapter 14.3 - Partial DerivativesChapter 14.4 - Tangent Planes And Linear ApproximationsChapter 14.5 - The Chain RuleChapter 14.6 - Directional Derivatives And The Gradient VectorChapter 14.7 - Maximum And Minimum ValuesChapter 14.8 - Lagrange MultipliersChapter 14.R - ReviewChapter 14.P - Problem PlusChapter 15.1 - Double Integrals Over RectanglesChapter 15.2 - Double Integrals Over General RegionsChapter 15.3 - Double Integrals In Polar CoordinatesChapter 15.4 - Applications Of Double IntegralsChapter 15.5 - Surface AreaChapter 15.6 - Triple IntegralsChapter 15.7 - Triple Integrals In Cylindrical CoordinatesChapter 15.8 - Triple Integrals In Spherical CoordinatesChapter 15.9 - Change Of Variables In Multiple IntegralsChapter 15.R - ReviewChapter 15.P - Problem PlusChapter 16.1 - Vector FieldsChapter 16.2 - Line IntegralsChapter 16.3 - The Fundamental Theorem For Line IntegralsChapter 16.4 - Green's TheoremChapter 16.5 - Curl And DivergenceChapter 16.6 - Parametric Surfaces And Their AreasChapter 16.7 - Surface IntegralsChapter 16.8 - Stokes' TheoremChapter 16.9 - The Divergence TheoremChapter 16.R - ReviewChapter 16.P - Problem PlusChapter 17.1 - Second-order Linear EquationsChapter 17.2 - Nonhomogeneous Linear EquationsChapter 17.3 - Applications Of Second-order Differential EquationsChapter 17.4 - Series SolutionsChapter 17.R - Review
Book Details
Success in your calculus course starts here! James Stewart's Calculus texts are world-wide best-sellers for a reason: they are clear, accurate, and filled with relevant, real-world examples. With Calculus, Eighth Edition, Stewart conveys not only the utility of calculus to help you develop technical competence, but also gives you an appreciation for the intrinsic beauty of the subject.
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