CALCULUS EARLY TRANSCENDENTAL FUNCTIONS7th EditionLarson, Edward Publisher: CENGAGE LISBN: 9781337678445
CALCULUS EARLY TRANSCENDENTAL FUNCTIONS
Solutions for CALCULUS EARLY TRANSCENDENTAL FUNCTIONS
Problem 2E:
Related Rates In your own words, state the guidelines for solving related-rate problems.Problem 4E:
Using Related Rates In Exercises 3-6, assume that x and y are both differentiable functions of t and...Problem 6E:
Using Related Rates In Exercises 3-6, assume that x and y are both differentiable functions of t and...Problem 7E:
Moving Point In Exercises 7-10, a point is moving along the graph of the given function at the rate...Problem 8E:
Moving Point In Exercises 7-10, a point is moving along the graph of the given function at the rate...Problem 9E:
Moving Point In Exercises 7-10, a point is moving along the graph of the given function at the rate...Problem 11E:
Area The radius r of a circle is increasing at a rate of 4 centimeters per minute. Find the rate of...Problem 12E:
Area The length. s of each side of an equilateral triangle is increasing at a rate of 13 feet per...Problem 13E:
Volume The radius r of a sphere is increasing at a rate of 3 inches per minute. (a) Find the rates...Problem 14E:
Radius A spherical balloon is inflated with gas at the rate of 800 cubic centimeters per minute. (a)...Problem 17E:
Height At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate...Problem 18E:
Height The volume of oil in a cylindrical container is increasing at a rate of 150 cubic inches per...Problem 19E:
Depth A swimming pool is 12 meters long. 6 meters wide, 1 meter deep at the shallow end. and 3...Problem 20E:
Depth A trough is 12 feet long and 3 feet across the top (see figure). Its ends are isosceles...Problem 21E:
Moving Ladder A ladder 25 feet long is leaning against the wall of a house (see figure). The base of...Problem 22E:
Construction A construction worker pulls a five-meter plank up the side of a building under...Problem 23E:
Construction A winch at the top of a 12-meter building pulls a pipe of the same length to a vertical...Problem 24E:
Boating A boat is pulled into a dock by means of a winch 12 feet above the deck of the boat (see...Problem 25E:
Air Traffic Control An air traffic controller spots two planes at the same altitude converging on a...Problem 26E:
Air Traffic Control An airplane is flying at an altitude of 5 miles and passes directly over a radar...Problem 27E:
Sports A baseball diamond has the shape of a square with sides 90 feet long (see figure). A player...Problem 28E:
Sports For (be baseball diamond in Exercise 27, suppose (be player is running from first base to...Problem 29E:
Shadow Length A man 6 feet tall walks at a rate of 5 feet per second away from a light that is 15...Problem 30E:
Shadow Length Repeat Exercise 29 for a man 6 feet tall walking at a rate of 5 feet per second toward...Problem 31E:
Machine Design The endpoints of a movable rod of length 1 meter have coordinates (x, 0) and (0, y)...Problem 32E:
Machine Design Repeat Exercise 31 for a position function of x(t)=35sint. Use the point (310,0) for...Problem 33E:
Evaporation As a spherical raindrop falls, it reaches a layer of dry air and begins to evaporate at...Problem 34E:
HOW DO YOU SEE IT? Using the-graph-of f(a) determine whether dy/dt positive or negative given that...Problem 38E:
Electrical Circuit The voltage V in volts of an electrical circuits is V=IR, where R is the...Problem 39E:
Flight Control An-airplane plane is flying in still air with an airspeed of 275 miles per hour. The...Problem 40E:
Angle-of -Elevation A balloon rises at a rate of 4 meters per second from a point on the ground 50...Problem 41E:
Angle of Elevation A fish is reeled in at a rate of 1 foot per second from a point 10 feet above the...Problem 43E:
Linear vs. Angular Speed A patrol car is parked 50 feet from a long warehouse (see figure). The...Problem 44E:
Linear vs. Angular Speed A wheel of radius 30 centimeters revolves at a rate of 10 revolutions per...Problem 46E:
Area The included angle of the two sides of constant equal length s of an isosceles triangle is ....Problem 48E:
Security Camera A security camera is centered 50 feet above a 100 foot hallway (see figure). It is...Problem 49E:
Acceleration In Exercises 49 and 50, find the acceleration of the specified object. (Hint; Recall...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
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