Solutions for Calculus, Early Transcendentals
Problem 5E:
Coterminal Angles in Degrees In Exercises 5 and 6, determine two coterminal angles in degree measure...Problem 7E:
Coterminal Angles in RadiansIn Exercises 7 and 8, determine two coterminal angles in radian measure...Problem 9E:
Degrees to Radians In Exercise 9 and 10, convert the degree measure to radian measure as a multiple...Problem 10E:
Degrees to RadiansIn Exercise 9 and 10, convert the degree measure to radian measure as a multiple...Problem 12E:
Radians to DegreesIn Exercises 11 and 12, convert the radian measure to degree measure. (a) 73 (b)...Problem 13E:
Completing a Table Let r represent the radius of a circle. the central angle (measured in radians),...Problem 14E:
Angular SpeedA car is moving at the rate of 50 miles per hour, and the diameter of its wheels is 2.5...Problem 18E:
Evaluating Trigonometric Functions In Exercises 17-20, sketch a right triangle corresponding to the...Problem 20E:
Evaluating Trigonometric Functions In Exercises 17-20, sketch a right triangle corresponding to the...Problem 22E:
Evaluating Trigonometric FunctionIn Exercises 21-24, evaluate the sine, cosine and tangent of each...Problem 23E:
Evaluating Trigonometric FunctionIn Exercises 21-24, evaluate the sine, cosine and tangent of each...Problem 31E:
Solving a Trigonometric Equation In Exercises 31-34, find two solutions of each equation. Give your...Problem 36E:
Solving a Trigonometric Equation In Exercises 35-42, solve the equation for , where (02). tan2=3Problem 38E:
Solving a Trigonometric Equation In Exercises 35-42, solve the equation for , Where (02). 2cos2cos=1Problem 42E:
Solving a Trigonometric Equation In Exercises 35-42, solve the equation for , where (02). cos2cos=1Problem 43E:
Airplane Ascent An airplane leaves the runway climbing at an angle of 18 with a speed of 275 feet...Problem 44E:
Height of a Mountain While traveling across flat land, you notice a mountain directly in from of...Problem 46E:
Period and Amplitude In Exercises 45-48, determine the period and amplitude of each function....Problem 55E:
Sketching the Graph of a Trigonometric Function In Exercises 55-66, sketch the graph of the...Problem 74E:
Ferris Wheel The model for the height h of a Ferris wheel car is h=51+50sin8 sin 8m where t is...Browse All Chapters of This Textbook
Chapter 1 - Preparation For CalculusChapter 1.1 - Graphs And ModelsChapter 1.2 - Linear Models And Rates Of ChangeChapter 1.3 - Functions And Their GraphsChapter 1.4 - Review Of Trigonometric FunctionsChapter 1.5 - Inverse FunctionsChapter 1.6 - Exponential And Logarithmic FunctionsChapter 2 - Limits And Their PropertiesChapter 2.1 - A Preview Of CalculusChapter 2.2 - Finding Limits Graphically And Numerically
Chapter 2.3 - Evaluating Limits AnalyticallyChapter 2.4 - Continuity And One-sided LimitsChapter 2.5 - Infinite LimitsChapter 3 - DifferentiationChapter 3.1 - The Derivative And The Tangent Line ProblemChapter 3.2 - Basic Differentiation Rules And Rates Of ChangeChapter 3.3 - Product And Quotient Rules And Higher-order DerivativesChapter 3.4 - The Chain RuleChapter 3.5 - Implicit DifferentiationChapter 3.6 - Derivatives Of Inverse FunctionsChapter 3.7 - Related RatesChapter 3.8 - Newton's MethodChapter 4 - Applications Of DifferentiationChapter 4.1 - Extrema On An IntervalChapter 4.2 - Rolle's Theorem And The Mean Value TheoremChapter 4.3 - Increasing And Decreasing Functions And The First Derivative TestChapter 4.4 - Concavity And The Second Derivative TestChapter 4.5 - Limits At InfinityChapter 4.6 - A Summary Of Curve SketchingChapter 4.7 - Optimization ProblemsChapter 4.8 - DifferentialsChapter 5 - IntegrationChapter 5.1 - Antiderivatives And Indefinite IntegrationChapter 5.2 - AreaChapter 5.3 - Riemann Sums And Definite IntegralsChapter 5.4 - The Fundamental Theorem Of CalculusChapter 5.5 - Integration By SubstitutionChapter 5.6 - Indeterminate Forms And L'hôpital's RuleChapter 5.7 - The Natural Logarithmic Function: IntegrationChapter 5.8 - Inverse Trigonometric Functions: IntegrationChapter 5.9 - Hyperbolic FunctionsChapter 6 - Differential EquationsChapter 6.1 - Slope Fields And Euler's MethodChapter 6.2 - Growth And DecayChapter 6.3 - Separation Of VariablesChapter 6.4 - The Logistic EquationChapter 6.5 - First-order Linear Differential EquationsChapter 6.6 - Predator-prey Differential EquationsChapter 7 - Applications Of IntegrationChapter 7.1 - Area Of A Region Between Two CurvesChapter 7.2 - Volume: The Disk MethodChapter 7.3 - Volume: The Shell MethodChapter 7.4 - Arc Length And Surfaces Of RevolutionChapter 7.5 - WorkChapter 7.6 - Moments, Centers Of Mass, And CentroidsChapter 7.7 - Fluid Pressure And Fluid ForceChapter 8 - Integration Techniques And Improper IntegralsChapter 8.1 - Basic Integration RulesChapter 8.2 - Integration By PartsChapter 8.3 - Trigonometric IntegralsChapter 8.4 - Trigonometric SubstitutionChapter 8.5 - Partial FractionsChapter 8.6 - Numerical IntegrationChapter 8.7 - Integration By Tables And Other Integration TechniquesChapter 8.8 - Improper IntegralsChapter 9 - Infinite SeriesChapter 9.1 - SequencesChapter 9.2 - Series And ConvergenceChapter 9.3 - The Integral Test And P-seriesChapter 9.4 - Comparisons Of SeriesChapter 9.5 - Alternating SeriesChapter 9.6 - The Ratio And Root TestsChapter 9.7 - Taylor Polynomials And ApproximationsChapter 9.8 - Power SeriesChapter 9.9 - Representation Of Functions By Power SeriesChapter 9.10 - Taylor And Maclaurin SeriesChapter 10 - Conics, Parametric Equations, And Polar CoordinatesChapter 10.1 - Conics And CalculusChapter 10.2 - Plane Curves And Parametric EquationsChapter 10.3 - Parametric Equations And CalculusChapter 10.4 - Polar Coordinates And Polar GraphsChapter 10.5 - Area And Arc Length In Polar CoordinatesChapter 10.6 - Polar Equations Of Conics And Kepler's LawsChapter 11 - Vectors And The Geometry Of SpaceChapter 11.1 - Vectors In The PlaneChapter 11.2 - Space Coordinates And Vectors In SpaceChapter 11.3 - The Dot Product Of Two VectorsChapter 11.4 - The Cross Product Of Two Vectors In SpaceChapter 11.5 - Lines And Planes In SpaceChapter 11.6 - Surfaces In SpaceChapter 11.7 - Cylindrical And Spherical CoordinatesChapter 12 - Vector-valued FunctionsChapter 12.1 - Vector-valued FunctionsChapter 12.2 - Differentiation And Integration Of Vector-valued FunctionsChapter 12.3 - Velocity And AccelerationChapter 12.4 - Tangent Vectors And Normal VectorsChapter 12.5 - Arc Length And CurvatureChapter 13 - Functions Of Several VariablesChapter 13.1 - Introduction To Functions Of Several VariablesChapter 13.2 - Limits And ContinuityChapter 13.3 - Partial DerivativesChapter 13.4 - DifferentialsChapter 13.5 - Chain Rules For Functions Of Several VariablesChapter 13.6 - Directional Derivatives And GradientsChapter 13.7 - Tangent Planes And Normal LinesChapter 13.8 - Extrema Of Functions Of Two VariablesChapter 13.9 - Applications Of ExtremaChapter 13.10 - Lagrange MultipliersChapter 14 - Multiple IntegrationChapter 14.1 - Iterated Integrals And Area In The PlaneChapter 14.2 - Double Integrals And VolumeChapter 14.3 - Change Of Variables: Polar CoordinatesChapter 14.4 - Center Of Mass And Moments Of InertiaChapter 14.5 - Surface AreaChapter 14.6 - Triple Integrals And ApplicationsChapter 14.7 - Triple Integrals In Other CoordinatesChapter 14.8 - Change Of Variables: JacobiansChapter 15 - Vector AnalysisChapter 15.1 - Vector FieldsChapter 15.2 - Line IntegralsChapter 15.3 - Conservative Vector Fields And Independence Of PathChapter 15.4 - Green's TheoremChapter 15.5 - Parametric SurfacesChapter 15.6 - Surface IntegralsChapter 15.7 - Divergence TheoremChapter 15.8 - Stokes's Theorem
Book Details
This text is rigorous, fairly traditional and is appropriate for engineering and science calculus tracks. Hallmarks are accuracy, strong engineering and science applications, deep problem sets (in quantity, depth, and range), and spectacular visuals.
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