CALCULUS EARLY TRANSCENDENTAL FUNCTIONS7th EditionLarson, Edward Publisher: CENGAGE LISBN: 9781337678445
CALCULUS EARLY TRANSCENDENTAL FUNCTIONS
Solutions for CALCULUS EARLY TRANSCENDENTAL FUNCTIONS
Problem 1E:
CONCEPT CHECK Writing In your own words, describe primary equation, secondary equation, and feasible...Problem 2E:
CONCEPT CHECK Optimization Problems In your own words, describe the guidelines for solving applied...Problem 3E:
Numerical Graphical and Analytic Analysis Find two positive numbers whose sum is 110 and whose...Problem 4E:
Numerical, Graphical, and Analytic Analysis An open box of maximum volume is to be made from a...Problem 5E:
Finding Numbers In Exercises 5-10, find two positive numbers that satisfy the given requirements....Problem 12E:
Maximum Area In Exercises 11 and 12, find the length and width of a rectangle that has the given...Problem 13E:
Minimum Perimeter In Exercises 13 and 14, find the length and width of a rectangle that has the...Problem 14E:
Minimum Perimeter In Exercises 13 and 14, find the length and width of a rectangle that has the...Problem 15E:
Minimum Distance In Exercises 15 and 16, find the points on the graph of the function that are...Problem 16E:
Minimum Distance In Exercises 15 and 16, find the points on the graph of the function that are...Problem 17E:
Minimum Area A rectangular poster is to contain648 square inches of print. The margins at the top...Problem 18E:
Minimum Area A rectangular page is to contain36 square inches of print. The margins on each side are...Problem 19E:
Minimum Length A farmer plans to fence a rectangular pasture adjacent to a river (see figure). The...Problem 20E:
Maximum Volume A rectangular solid (with a square base) has a surface area of 337.5 square...Problem 21E:
Maximum Area A Norman window is constructed by adjoining a semicircle to the top of an ordinary...Problem 22E:
Maximum Area A rectangle is bounded by the x- and y-axes and the graph of y=(6x)/2 (see figure)....Problem 23E:
Minimum Length and Minimum Area A right triangle is formed in the first quadrant by the x- and...Problem 24E:
Maximum Area Find the area of the largest isosceles triangle that can be inscribed in a circle of...Problem 25E:
Maximum Area A rectangle is bounded by the x-axis and the semicircle y=25x2 (see figure). What...Problem 27E:
Numerical Graphical and Analytic Analysis An exercise room consists of a rectangle with a semicircle...Problem 28E:
Numerical, Graphical, and Analytic Analysis A right circular cylinder is designed to hold 22 cubic...Problem 29E:
Maximum Volume A rectangular package to be sent by a postal service can have a maximum combined...Problem 30E:
Maximum Volume Rework Exercise 29 for a cylindrical package. (The cross section is circular.)Problem 32E:
EXPLORING CONCEPTS Area and Perimeter The perimeter of a rectangle is 20 feet. Of all possible...Problem 33E:
Minimum Surface Area A solid is formed by adjoining two hemispheres to the ends of a right circular...Problem 34E:
Minimum Cost An industrial tank of the shape described in Exercise 33 must have a volume of 4000...Problem 36E:
Maximum Area Twenty feet of wire is to be used to form two figures. In each of the following cases,...Problem 37E:
Beam Strength A wooden beam has a rectangular cross section of height h and width w (see figure)....Problem 38E:
Minimum Length Two factories are located at the coordinates (-x, 0) and (x, 0), and their power...Problem 40E:
Illumination A light source is located over the center of a circular table of diameter 4 feet (see...Problem 41E:
Minimum Time A man is in a boat 2 miles from the nearest point on the coast. He is traveling to a...Problem 42E:
Population Growth Fifty elk are introduced into a game preserve. It is estimated that their...Problem 44E:
Minimum Time When light waves traveling in a transparent medium strike the surface of a second...Problem 45E:
Maximum Volume A sector with central angle is cut from a circle of radius 12 inches (see figure),...Problem 46E:
Area Perform the following steps to find the maximum area of the rectangle shown in the figure. (a)...Problem 48E:
HOW DO YOU SEE IT? The graph shows the profit P (in thousands of dollars) of a company in terms of...Problem 50E:
Area Find the area of the largest rectangle that can be inscribed under the curve y=ex2 in the first...Problem 51E:
Minimum Distance In Exercises 51-53, consider a fuel distribution center located at the origin of...Problem 52E:
Minimum Distance In Exercises 51-53, consider a fuel distribution center located at the origin of...Problem 53E:
Minimum Distance In Exercises 51-53, consider a fuel distribution center located at the origin of...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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