Calculus, Early Transcendentals, Intern...8th EditionJames Stewart Publisher: Cengage LearningISBN: 9781305272378
Calculus, Early Transcendentals, Intern...
Solutions for Calculus, Early Transcendentals, International Metric Edition
Problem 2E:
(a) If A is the area of a circle with radius r and the circle expands as time passes, find dA/dt in...Problem 3E:
Each side of a square is increasing at a rate of 6 cm/s. At what rate is the area of the square...Problem 4E:
The length of a rectangle is increasing at a rate of 8 cm/s and its width is increasing at a rate of...Problem 5E:
A cylindrical tank with radius 5 m is being filled with water at a rate of 3 m3/ min. How fast is...Problem 6E:
The radius of a sphere is increasing at a rate of 4 mm/s. How fast is the volume increasing when the...Problem 7E:
The radius of a spherical ball is increasing at a rate of 2 cm/min. At what rate is the surface area...Problem 8E:
The area of a triangle with sides of lengths a and band contained angle is A=12absin (a) If a = 2...Problem 9E:
Suppose y=2x+1, where x and y are functions of t. (a) If dx/dt = 3, find dy/dt when x = 4. (b) If...Problem 10E:
Suppose 4x2 + 9y2 = 36, where x and y are functions of t. (a) Ifdy/dt=13, find dx/dt when x = 2 and...Problem 12E:
A particle is moving along a hyperbola xy = 8. As it reaches the point (4, 2), they-coordinate is...Problem 13E:
(a) What quantities are given in the problem? (b) What is the unknown? (c) Draw a picture of the...Problem 14E:
(a) What quantities are given in the problem? (b) What is the unknown? (c) Draw a picture of the...Problem 15E:
(a) What quantities are given in the problem? (b) What is the unknown? (c) Draw a picture of the...Problem 16E:
(a) What quantities are given in the problem? (b) What is the unknown? (c) Draw a picture of the...Problem 17E:
Two cars start moving from the same point. One travels south at60 mi/h and the other travels west at...Problem 18E:
A spotlight on the ground shines on a wall 12m away. If a man 2 m tall walks from the spotlight...Problem 19E:
A man starts walking north at 4 ft/s from a point P. Five minutes later a woman starts walking south...Problem 20E:
A baseball diamond is a square with side 90 ft. A batter hits the ball and runs toward first base...Problem 21E:
The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is...Problem 22E:
A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley...Problem 23E:
At noon, ship A is 100 km west of ship B. Ship A is sailing south at 35 km/h and ship B is sailing...Problem 25E:
Water is leaking out of an inverted conical tank at a rate of 10,000 cm3/min at the same time that...Problem 26E:
A trough is 10 ft long and its ends have the shape of isosceles triangles that are 3 ft across at...Problem 27E:
A water trough is 10m long and a cross-section has the shape of an isosceles trapezoid that is 30 cm...Problem 28E:
A swimming pool is 20 ft wide, 40 ft long, 3 ft deep at the s hallow end, and 9 ft deep at its...Problem 29E:
Gravel is being dumped from a conveyor belt at a rate of 30ft 3 min, and its coarseness is such that...Problem 30E:
A kite 100ft above the ground moves horizontally at a speed of 8 ft/s. At what rate is the angle...Problem 31E:
The sides of an equilateral triangle are increasing at a rate of 10 cm/min. At what rate is the area...Problem 32E:
How fast is the angle between the ladder and the ground changing in Example 2 when the bottom of the...Problem 33E:
The top of a ladder slides down a vertical wall at a rate of 0.15 m/s. At the moment when the bottom...Problem 34E:
According to the model we used to solve Example 2, what happens as the top of the ladder approaches...Problem 36E:
A faucet is filling a hemispherical basin of diameter 60 cm with water at a rate of 2 L/min. Find...Problem 37E:
Boyles Law states that when a sample of gas is compressed at a constant temperature, the pressure P...Problem 38E:
When air expands adiabatically (without gaining or losing heat), its pressure P and volume V are...Problem 39E:
If two resistors with resistances R1 and R2 are connected in parallel, as in the figure, then the...Problem 40E:
Brain weight B as a function of body weight Win fish has been modeled by the power function B =...Problem 41E:
Two sides of a triangle have lengths 12 m and 15 m. The angle between them is increasing at a rate...Problem 42E:
Two carts, A and B, are connected by a rope 39 ft long that passes over a pulley P (see the figure)....Problem 43E:
A television camera is positioned 4000 ft from the base of a rocket launching pad. The angle of...Problem 44E:
A lighthouse is located on a small island 3 km away from the nearest point P on a straight shoreline...Problem 45E:
A plane flies horizontally at an altitude of 5 km and passes directly over a tracking telescope on...Problem 46E:
A Ferris wheel with a radius of 10m is rotating at a rate of one revolution every 2 minutes. How...Problem 47E:
A plane flying with a constant speed of 300 km/h passes over a around radar station at an altitude...Problem 48E:
Two people start from the same point. One walks east at 3 mi/h and the other walks northeast at 2...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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