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 1E:
a Find y by implicit differentiation. b Solve the equation explicitly for y and differentiate to get...Problem 2E:
a Find y by implicit differentiation. b Solve the equation explicitly for y and differentiate to get...Problem 3E:
a Find y by implicit differentiation. b Solve the equation explicitly for y and differentiate to get...Problem 4E:
a Find y by implicit differentiation. b Solve the equation explicitly for y and differentiate to get...Problem 11E:
Find dy/dx by implicit differentiation. ycosx=x2+y2Problem 13E:
Find dy/dx by implicit differentiation. x+y=x4+y4Problem 15E:
Find dy/dx by implicit differentiation. tan(x/y)=x+yProblem 16E:
Find dy/dx by implicit differentiation. xy=x2+y2Problem 17E:
Find dy/dx by implicit differentiation. xy=1+x2yProblem 21E:
If f(x)+x2[f(x)]3=10 and f(1)=2, find f(1).Problem 22E:
If g(x)+xsing(x)=x2, find g(0).Problem 23E:
Regard y as the independent variable and x as the dependent variable and use implicit...Problem 24E:
Regard y as the independent variable and x as the dependent variable and use implicit...Problem 25E:
Use implicit differentiation to find an equation of the tangent line to the curve at the given...Problem 26E:
Use implicit differentiation to find an equation of the tangent line to the curve at the given...Problem 27E:
Use implicit differentiation to find an equation of the tangent line to the curve at the given...Problem 28E:
Use implicit differentiation to find an equation of the tangent line to the curve at the given...Problem 29E:
Use implicit differentiation to find an equation of the tangent line to the curve at the given...Problem 31E:
Use implicit differentiation to find an equation of the tangent line to the curve at the given...Problem 32E:
Use implicit differentiation to find an equation of the tangent line to the curve at the given...Problem 33E:
a The curve with equation y2=5x4x2 is called a kampyle of Eudoxus. Find an equation of the tangent...Problem 34E:
a The curve with equation y2=x2+3x2 is called the Tschimhausen cubic. Find an equation of the...Problem 35E:
Find y by implicit differentiation. x2+4y2=4Problem 36E:
Find y by implicit differentiation. x2+xy+y2=3Problem 37E:
Find y by implicit differentiation. siny+cosx=1Problem 38E:
Find y by implicit differentiation. x3y3=7Problem 41E:
Fanciful shapes can be created by using the implicit plotting capabilities of computer algebra...Problem 42E:
a The curve with equation 2y3+y2y5=x42x3+x2 has been likened to a bouncing wagon. Use a computer...Problem 44E:
Show by implicit differentiation that the tangent to the ellipse x2a2+y2b2=1 at the point (x0.,y0)...Problem 47E:
Show, using implicit differentiation, that any tangent fine at a point P to a circle with center O...Problem 49E:
Two curves are orthogonal if their tangent lines are perpendicular at each point of intersection....Problem 50E:
Two curves are orthogonal if their tangent lines are perpendicular at each point of intersection....Problem 51E:
Two curves are orthogonal if their tangent lines are perpendicular at each point of intersection....Problem 52E:
Two curves are orthogonal if their tangent lines are perpendicular at each point of intersection....Problem 53E:
Show that the ellipse x2/a2+y2/b2=1 and the hyperbola x2/A2y2/B2=1 are orthogonal trajectories if...Problem 55E:
a The van der Waals equation for n moles of a gas is (P+n2aV2)(Vnb)=nRT where P is the pressure, V...Problem 57E:
The equation x2xy+y2=3 represents a rotated ellipse, that is, an ellipse whose axes are not parallel...Problem 60E:
Find equations of both the tangent lines to the ellipse x2+4y2=36 that pass through the point 12, 3.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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