Calculus, Early Transcendentals, Intern...8th EditionJames Stewart Publisher: Cengage LearningISBN: 9781305272378
Calculus, Early Transcendentals, Intern...
Solutions for Calculus, Early Transcendentals, International Metric Edition
Problem 1E:
Find the most general antiderivative of the function. (Check your answer by differentiation.) f(x) =...Problem 2E:
Find the most general antiderivative of the function. (Check your answer by differentiation.) f(x) =...Problem 3E:
Find the most general antiderivative of the function. (Check your answer by differentiation.)...Problem 4E:
Find the most general antiderivative of the function. (Check your answer by differentiation.) f(x) =...Problem 5E:
Find the most general antiderivative of the function. (Check your answer by differentiation.) f(x) =...Problem 6E:
Find the most general antiderivative of the function. (Check your answer by differentiation.) f(x) =...Problem 7E:
Find the most general antiderivative of the function. (Check your answer by differentiation.) f(x) =...Problem 8E:
Find the most general antiderivative of the function. (Check your answer by differentiation.)...Problem 9E:
Find the most general antiderivative of the function. (Check your answer by differentiation.) f(x)=2Problem 10E:
Find the most general antiderivative of the function. (Check your answer by differentiation.) f(x) =...Problem 11E:
Find the most general antiderivative of the function. (Check your answer by differentiation.)...Problem 12E:
Find the most general antiderivative of the function. (Check your answer by differentiation.)...Problem 13E:
Find the most general antiderivative of the function. (Check your answer by differentiation.)...Problem 14E:
Find the most general antiderivative of the function. (Check your answer by differentiation.)...Problem 15E:
Find the most general antiderivative of the function. (Check your answer by differentiation.)...Problem 16E:
Find the most general antiderivative of the function. (Check your answer by differentiation.) r() =...Problem 17E:
Find the most general antiderivative of the function. (Check your answer by differentiation.) h() =...Problem 18E:
Find the most general antiderivative of the function. (Check your answer by differentiation.)...Problem 19E:
Find the most general antiderivative of the function. (Check your answer by differentiation.) f(x)...Problem 20E:
Find the most general antiderivative of the function. (Check your answer by differentiation.)...Problem 21E:
Find the most general antiderivative of the function. (Check your answer by differentiation.)...Problem 22E:
Find the most general antiderivative of the function. (Check your answer by differentiation.)...Problem 25E:
Find f. f(x) = 20x3 12x2 + 6xProblem 26E:
Find f. f(x) = x6 4x4 + x + 1Problem 27E:
Find f. f(x) = 2x + 3exProblem 28E:
Find f. f(x) = 1/x2Problem 29E:
Find f. f(t) = 12 + sin tProblem 30E:
Find f. f(t)=t2costProblem 31E:
Find f. f(x)=1+3x, f(4) = 25Problem 32E:
Find f. f(x) = 5x4 3x2 + 4, f(1) = 2Problem 33E:
Find f. f(t) = 4/(1 + t2), f(1) = 0Problem 34E:
Find f. f(t) = t + 1/t3, t 0, f(1) = 6Problem 35E:
Find f. f(x) = 5x2/3, f(8) = 21Problem 38E:
Find f. f(t) = 3t 3/t, f(1) = 2, f(1) = 1Problem 39E:
Find f. f(x) = 2 + 12x 12x2, f(0) = 4, f(0) = 12Problem 40E:
Find f. f(x) = 8x3 + 5, f(1) = 0, f(1) = 8Problem 41E:
Find f. f() = sin + cos , f(0) = 3, f(0) = 4Problem 42E:
Find f. f(t) = t2 + 1/t2, t 0, f(2) = 3, f(1) = 2Problem 43E:
Find f. f(x) = 4 + 6x + 24x2, f(0) = 3, f(1) = 10Problem 44E:
Find f. f(x) = x3 + sinh x, f(0) = 1, f(2) = 2.6Problem 45E:
Find f. f(x) = ex 2 sin x, f(0) = 3, f(/2) = 0Problem 46E:
Find f. f(t)=t3cost, f(0) = 2, f(1) = 2Problem 47E:
Find f. f(x) = x2, x 0, f(1) = 0, f(2) = 0Problem 48E:
Find f. f(x) = cos x, f(0) = 1, f(0) = 2, f(0) = 3Problem 49E:
Given that the graph of f passes through the point (2, 5) and that the slope of its tangent line at...Problem 50E:
Find a function f such that f(x) = x3 and the line x + y = 0 is tangent to the graph of f.Problem 53E:
The graph of a function is shown in the figure. Make a rough sketch of an antiderivative F, given...Problem 54E:
The graph of the velocity function of a particle is shown in the figure. Sketch the graph of a...Problem 55E:
The graph of f is shown in the figure. Sketch the graph of f if f is continuous on [0, 3] and f(0) =...Problem 59E:
A particle is moving with the given data. Find the position of the particle. v(t) = sin t cos t,...Problem 60E:
A particle is moving with the given data. Find the position of the particle. v(t)=t23t, s(4) = 8Problem 61E:
A particle is moving with the given data. Find the position of the particle. a(t) = 2t + 1, s(0) =...Problem 62E:
A particle is moving with the given data. Find the position of the particle. a(t) 3 cos t 2 sin t,...Problem 63E:
A particle is moving with the given data. Find the position of the particle. a(t) = 10 sin t + 3 cos...Problem 64E:
A particle is moving with the given data. Find the position of the particle. a(t) = t2 4t + 6, s(0)...Problem 65E:
A stone is dropped from the upper observation deck (the Space Deck) of the CN Tower, 450 m above the...Problem 66E:
Show that for motion in a straight line with constant acceleration a, initial velocity v0, and...Problem 67E:
An object is projected upward with initial velocity v0, meters per second from a point s0 meters...Problem 68E:
Two balls are thrown upward from the edge of the cliff in Example 7. The first is thrown with a...Problem 69E:
A stone was dropped off a cliff and hit the ground with a speed of 120 ft/s. What is the height of...Problem 73E:
Since raindrops grow as they fall, their surface area increases and therefore the resistance to...Problem 74E:
A car is traveling at 50 mi/h when the brakes are fully applied, producing a constant deceleration...Problem 75E:
What constant acceleration is required to increase the speed of a car from 30 mi/h to 50 mi/h in 5...Problem 76E:
A car braked with a constant deceleration of 16 ft/s2, producing skid marks measuring 200 ft before...Browse All Chapters of This Textbook
Chapter 1 - Functions And ModelsChapter 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 - Exponential FunctionsChapter 1.5 - Inverse Functions And LogarithmsChapter 2 - Limits And DerivativesChapter 2.1 - The Tangent And Velocity ProblemsChapter 2.2 - The Limit Of A FunctionChapter 2.3 - Calculating Limits Using The Limit Laws
Chapter 2.4 - The Precise Definition Of A LimitChapter 2.5 - ContinuityChapter 2.6 - Limits At Infinity; Horizontal AsymptotesChapter 2.7 - Derivatives And Rates Of ChangeChapter 2.8 - The Derivative As A FunctionChapter 3 - Differentiation RulesChapter 3.1 - Derivatives Of Polynomials And Exponential FunctionsChapter 3.2 - The Product And Quotient RulesChapter 3.3 - Derivatives Of Trigonometric FunctionsChapter 3.4 - The Chain RuleChapter 3.5 - Implicit DifferentiationChapter 3.6 - Derivatives Of Logarithmic FunctionsChapter 3.7 - Rates Of Change In The Natural And Social SciencesChapter 3.8 - Exponential Growth And DecayChapter 3.9 - Related RatesChapter 3.10 - Linear Approximations And DifferentialsChapter 3.11 - Hyperbolic FunctionsChapter 4 - Applications Of DifferentiationChapter 4.1 - Maximum And Minimum ValuesChapter 4.2 - The Mean Value TheoremChapter 4.3 - How Derivatives Affect The Shape Of A GraphChapter 4.4 - Indeterminate Forms And L'hospital's RuleChapter 4.5 - Summary Of Curve SketchingChapter 4.6 - Graphing With Calculus And CalculatorsChapter 4.7 - Optimization ProblemsChapter 4.8 - Newton's MethodChapter 4.9 - AntiderivativesChapter 5 - IntegralsChapter 5.1 - Areas And DistancesChapter 5.2 - The Definite IntegralChapter 5.3 - The Fundamental Theorem Of CalculusChapter 5.4 - Indefinite Integrals And The Net Change TheoremChapter 5.5 - The Substitution RuleChapter 6 - Applications Of IntegrationChapter 6.1 - Areas Between CurvesChapter 6.2 - VolumesChapter 6.3 - Volumes By Cylindrical ShellsChapter 6.4 - WorkChapter 6.5 - Average Value Of A FunctionChapter 7 - Techniques Of IntegrationChapter 7.1 - Integration By PartsChapter 7.2 - Trigonometric IntegralsChapter 7.3 - Trigonometric SubstitutionChapter 7.4 - Integration Of Rationai 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 8 - Further Applications Of IntegrationChapter 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 9 - Differential EquationsChapter 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 10 - Parametric Equations And Polar CoordinatesChapter 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 11 - Infinite Sequences And SeriesChapter 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 12 - Vectors And The Geometry Of SpaceChapter 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 13 - Vector FunctionsChapter 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 14 - Partial DerivativesChapter 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 15 - Multiple IntegralsChapter 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 16 - Vector CalculusChapter 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 17 - Second-order Differential EquationsChapter 17.1 - Second-order Linear EquationsChapter 17.2 - Nonhomogeneous Linear EquationsChapter 17.3 - Applications Of Second-order Differential EquationsChapter 17.4 - Series Solutions
Sample Solutions for this Textbook
We offer sample solutions for Calculus, Early Transcendentals, International Metric Edition homework problems. See examples below:
Chapter 1, Problem 1RCCChapter 2, Problem 1RCCChapter 3, Problem 1RCCChapter 4, Problem 1RCCChapter 5, Problem 1RCCChapter 6, Problem 1RCCChapter 7, Problem 1RCCChapter 8, Problem 1RCCChapter 9, Problem 1RCC
Chapter 10, Problem 1RCCChapter 11, Problem 1RCCChapter 12, Problem 1RCCVector function: The vector function is a function whose range is a set of vectors and whose domain...Chapter 14, Problem 1RCCGiven: The continuous function f is defined on a rectangle R=[a,b]×[c,d] . The double integral of f...Chapter 16, Problem 1RCCChapter 17, Problem 1RCC
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