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:
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 = ex in the viewing rectangles [ 1, 1] by [0, 2], [0.5, 0.5] by [0.5, 1.5], and...Problem 3E:
(a) Find the slope of the tangent line to the parabola y = 4x x2 at the point (0, 1) (i) using,...Problem 4E:
(a) Find the slope of the tangent line to the curve y = x x3 at the point (1 , 0) (i) using...Problem 5E:
Find an equation of the tangent line to the curve at the given point. y = 4x 3x2, (2, 4)Problem 6E:
Find an equation of the tangent line to the curve at the given point. y = x3 3x + 1, (2, 3)Problem 9E:
(a) Find the slope of the tangent to the curve y = 3 + 4x2 2x3 at the point where x = a. (b) Find...Problem 10E:
(a) Find the slope of the tangent to the curve y=1x 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)...Problem 15E:
The displacement (in meters) of a particle moving in a straight line is given by the equation of...Problem 16E:
The displacement (in feel) of a particle moving in a straight line is given by s = t2 61 + 23,...Problem 17E:
For the function g whose graph is given, arrange the following numbers in increasing order and...Problem 18E:
The graph of a function f is shown. (a) Find the average rate of change of f on the interval [20,...Problem 19E:
For the function f graphed in Exercise 18: (a) Estimate the value of f(50). (b) Is f'(10) f'(30)?...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 tine to the curve y = f(x) at the point where a = 2 is y = 4x 5, find...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 23E:
Sketch the graph of a function f for which f(0) = 0, f'(0) = 3, f'(l) = 0, and f'(2) = 1.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)...Problem 25E:
Sketch the graph of a function q that is continuous on its domain (5, 5) and where g(0) = 1, g'(0) =...Problem 26E:
Sketch the graph of a function f where the domain is (2, 2), f'(0) = 2, limx2f(x)=, f is continuous...Problem 27E:
If f(x) = 3x2 x3 , find f'(l) and use it to find an equation of the tangent line to the curve y =...Problem 28E:
If g(x) = x4 2, find g'(l) and use it to find an equation of the tangent line to the curve y = x4 ...Problem 29E:
(a) If F(x) = 5x/(l + x2), find F'(2) and use it to find an equation of the tangent line to the...Problem 30E:
(a) If G(x) = 4x2 x3, find G'(a) and use it to find equations of the tangent lines to the curve y =...Problem 31E:
Find f'(a). f(x) = 3x2 4x + 1Problem 32E:
Find f'(a). f(t) = 2t3 + tProblem 33E:
Find f'(a). f(t)=2t+1t+3Problem 34E:
Find f'(a). f(x) = x2Problem 35E:
Find f'(a). f(x)=12xProblem 36E:
Find f'(a). f(x)=41xProblem 37E:
Each limit represents the derivative of some function f at some number a. State such an f and a in...Problem 38E:
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 40E:
Each limit represents the derivative of some function f at some number a. State such an f and a in...Problem 41E:
Each limit represents the derivative of some function f at some number a. State such an f and a in...Problem 42E:
Each limit represents the derivative of some function f at some number a. State such an f and a in...Problem 43E:
A particle moves along a straight line with equation of motions s = f(t), where is measured in...Problem 44E:
A particle moves along a straight line with equation of motions s = f(t), where s is measured in...Problem 46E:
A roast is taken from an over when its temperature has reached 185F and is placed on a table in a...Problem 47E:
Reasearchers measured the average blood alcohol concentration C(t) of eight men starting one hour...Problem 48E:
The number N of locations of a popular coffeehouse chain is given in the table. (The numbers; of...Problem 49E:
The table shows world average daily oil consumption from 1985 to 2010 measured in thousands of...Problem 50E:
The table shows values of the viral load V(r) 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)...Problem 53E:
The cost of producing x ounces of gold from a new gold mine is C = f(x) dollars. (a) What is the...Problem 54E:
The number of bacteria after r hours in a controlled laboratory experiment is n = f(t). (a) What is...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 - 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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