UD CALC (241 ONLY) W/1 TERM ACCESS >IB8th EditionStewart Publisher: CENGAGE CISBN: 9781337051545
UD CALC (241 ONLY) W/1 TERM ACCESS >IB
Solutions for UD CALC (241 ONLY) W/1 TERM ACCESS >IB
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 5E:
A cylindrical tank with radius 5 m is being filled with water at a rate of 3 m3/min. How fast is 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 b and 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 dy/dt= 5,...Problem 12E:
A particle is moving along a hyperbola xy=8. As it reaches the point 4, 2, the y-coordinate is...Problem 13E:
13-16 a What quantities are given in the problem? b What is the unknown? c Draw a picture of the...Problem 14E:
13-16 a What quantities are given in the problem? b What is the unknown? c Draw a picture of the...Problem 15E:
13-16 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 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 10,000cm3/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 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 30ft3/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 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 35E:
If the minute hand of a clock has length r in centimeters, find the rate at which it sweeps out area...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...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 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...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 1.1 - 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
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