Solutions for Student Solutions Manual, Chapters 1-11 for Stewart's Single Variable Calculus, 8th (James Stewart Calculus)
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 6E:
The radius of a sphere is increasing at a rate of 4 mm/s. How fast is the volume increasing when the...Problem 8E:
The area of a triangle with sides of lengths a and b and contained angle is A=12absin (a) If a = 2...Problem 12E:
A particle is moving along a hyperbola xy = 8. As it reaches the point (4, 2), the y-coordinate is...Problem 13E:
(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 17E:
Two cars start moving from the same point. One travels south at 60 mi/h and the other travels west...Problem 18E:
A spotlight on the ground shines on a wall 12 m 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 24E:
A particle moves along the curve y = 2 sin(x/2). As the particle passes through the point (13,1),...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 10 m long and a cross-section has the shape of an isosceles trapezoid that is 30...Problem 28E:
A swimming pool is 20 ft wide, 40 ft long, 3 ft deep at the shallow end, and 9 ft deep at its...Problem 29E:
Gravel is being dumped from a conveyor belt at a rate of 30 ft3/min, and its coarseness is such that...Problem 30E:
A kite 100 ft 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 35E:
If the minute hand of a clock has length r (in centimeters), find the rate at which it sweeps out...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 40E:
Brain weight B as a function of body weight W in fish has been modeled by the power function B =...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 10 m 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 ground radar station at an altitude...Browse All Chapters of This Textbook
Chapter T - Diagonostic TestsChapter 1 - Functions And LimitsChapter 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 - Continuity
Chapter 2 - DerivativesChapter 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 3 - Applications Of DifferentiationChapter 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 4 - IntegralsChapter 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 5 - Applications Of IntegrationChapter 5.1 - Areas Between CurvesChapter 5.2 - VolumesChapter 5.3 - Volumes By Cylindrical ShellsChapter 5.4 - WorkChapter 5.5 - Average Value Of A FunctionChapter 6 - Inverse Functions: Exponential, Logarithmic, And Inverse Trigonometric FunctionsChapter 6.1 - Inverse FunctionsChapter 6.2 - Exponential Functions And Their DerivativesChapter 6.3 - Logarithmic FunctionsChapter 6.4 - Derivatives Of Logarithmic FunctionsChapter 6.5 - Exponential Growth And DecayChapter 6.6 - Inverse Trigonometric FunctionsChapter 6.7 - Hyperbolic FunctionsChapter 6.8 - Indeterminate Forms And L'Hospital's RuleChapter 7 - Techniques Of IntegrationChapter 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 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 A - Numbers, Inequalities, And Absolute ValuesChapter B - Coordinate Geometry And LinesChapter C - Graphs Of Second-Degree EquationsChapter D - TrigonometryChapter E - Sigma NotationChapter G - Complex Numbers
Sample Solutions for this Textbook
We offer sample solutions for Student Solutions Manual, Chapters 1-11 for Stewart's Single Variable Calculus, 8th (James Stewart Calculus) homework problems. See examples below:
Chapter T, Problem 1ADTChapter 1, Problem 1RCCChapter 2, Problem 1RCCChapter 3, Problem 1RCCChapter 4.2, Problem 3EChapter 4, Problem 1RCCChapter 5, Problem 1RCCChapter 6, Problem 1RCCChapter 7, Problem 1RCC
Chapter 8, Problem 1RCCChapter 9, Problem 1RCCExplanation: Write the definition of the parametric curve. The parametric curve is defined as the...Chapter 11, Problem 1RCCChapter A, Problem 1EChapter B, Problem 1EChapter C, Problem 1EExplanation: Formula used: π rad=180∘ Calculation: From the above formula, it is given that...Explanation: Definition used: If am,am+1,...,an are real numbers and m and n are integers such that...Chapter G, Problem 1E
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