Solutions for Precalculus Enhanced with Graphing Utilities, Books a la Carte Edition Plus NEW MyLab Math -- Access Card Package (7th Edition)
Problem 1RE:
Evaluate each expression using the graphs of y=f( x ) and y=g( x ) shown in the figure. (a) ( gf )(...Problem 2RE:
In Problems 2 4, for the given functions f and g find: (a) ( fg )( 2 ) (b) ( gf )( 2 ) (c) ( ff )( 4...Problem 3RE:
In Problems 2 4, for the given functions f and g find: (a) ( fg )( 2 ) (b) ( gf )( 2 ) (c) ( ff )( 4...Problem 4RE:
In Problems 2 4, for the given functions f and g find: (a) ( fg )( 2 ) (b) ( gf )( 2 ) (c) ( ff )( 4...Problem 5RE:
In Problems 5-7, find fg,gf,ff, and gg for each pair of functions. State the domain of each...Problem 6RE:
In Problems 5-7, find fg,gf,ff, and gg for each pair of functions. State the domain of each...Problem 7RE:
In Problems 5-7, find fg,gf,ff, and gg for each pair of functions. State the domain of each...Problem 8RE:
In Problem 8, (a) verify that the function is one-to-one, and (b) find the inverse of the given...Problem 9RE:
In Problem 9, state why the graph of the function is one-to-one. Then draw the graph of the inverse...Problem 10RE:
In Problems 10-13, the function f is one-to-one. Find the inverse of each function and check your...Problem 11RE:
In Problems 10-13, the function f is one-to-one. Find the inverse of each function and check your...Problem 12RE:
In Problems 10-13, the function f is one-to-one. Find the inverse of each function and check your...Problem 13RE:
In Problems 10-13, the function f is one-to-one. Find the inverse of each function and check your...Problem 14RE:
In Problem 14, f( x ) =3 x andg( x ) =log 3 x Evaluate: (a) f( 4 ) (b) g( 9 ) (c) f( 2 ) (d) g( 1 27...Problem 18RE:
In Problems 17 and 18, find the domain of each logarithmic function. H( x )= log 2 ( x 2 3x+2)Problem 22RE:
In Problems 22-25, write each expression as the sum and/or difference of logarithms. Express powers...Problem 23RE:
In Problems 22-25, write each expression as the sum and/or difference of logarithms. Express powers...Problem 24RE:
In Problems 22-25, write each expression as the sum and/or difference of logarithms. Express powers...Problem 25RE:
In Problems 22-25, write each expression as the sum and/or difference of logarithms. Express powers...Problem 26RE:
In Problems 26-28, write each expression as a single logarithm. 3 log 4 x 2 + 1 2 log 4 xProblem 27RE:
In Problems 26-28, write each expression as a single logarithm. ln( x1 x )+ln( x x+1 )ln( x 2 1 )Problem 28RE:
In Problems 26-28, write each expression as a single logarithm. 1 2 ln( x 2 +1 )4ln 1 2 1 2 [ ln(...Problem 29RE:
Use the Change-of-Base Formula and a calculator to evaluate log 4 19 . Round your answer to three...Problem 31RE:
In Problems 31-34, use the given function f to: (a) Find the domain of f .(b) Graph f .(c) From the...Problem 32RE:
In Problems 31-34, use the given function f to: (a) Find the domain of f .(b) Graph f .(c) From the...Problem 33RE:
In Problems 31-34, use the given function f to: (a) Find the domain of f .(b) Graph f .(c) From the...Problem 34RE:
In Problems 31-34, use the given function f to: (a) Find the domain of f .(b) Graph f .(c) From the...Problem 35RE:
In Problems 35-45, solve each equation. Express irrational solutions in exact form and as a decimal...Problem 36RE:
In Problems 35-45, solve each equation. Express irrational solutions in exact form and as a decimal...Problem 37RE:
In Problems 35-45, solve each equation. Express irrational solutions in exact form and as a decimal...Problem 38RE:
In Problems 35-45, solve each equation. Express irrational solutions in exact form and as a decimal...Problem 39RE:
In Problems 35-45, solve each equation. Express irrational solutions in exact form and as a decimal...Problem 40RE:
In Problems 35-45, solve each equation. Express irrational solutions in exact form and as a decimal...Problem 41RE:
In Problems 35-45, solve each equation. Express irrational solutions in exact form and as a decimal...Problem 42RE:
In Problems 35-45, solve each equation. Express irrational solutions in exact form and as a decimal...Problem 43RE:
In Problems 35-45, solve each equation. Express irrational solutions in exact form and as a decimal...Problem 44RE:
In Problems 35-45, solve each equation. Express irrational solutions in exact form and as a decimal...Problem 45RE:
In Problems 35-45, solve each equation. Express irrational solutions in exact form and as a decimal...Problem 46RE:
Suppose that f( x )= log 2 (x2)+1 . (a) Graph f (b) What is f( 6 ) ? What point is on the graph of f...Problem 47RE:
Amplifying Sound An amplifier’s power output P (in watts) is related to its decibel voltage gain d...Problem 48RE:
Limiting Magnitude of a Telescope A telescope is limited in its usefulness by the brightness of the...Problem 49RE:
Salvage Value The number of years n for a piece of machinery to depreciate to a known salvage value...Problem 50RE:
Funding a College Education A child's grandparents purchase a 10,000 bond fund that matures in 18...Problem 51RE:
Funding a College Education A child's grandparents wish to purchase a bond that matures in 18 years...Problem 52RE:
Estimating the Dale That a Prehistoric Man Died The bones of a prehistoric man found in the desert...Problem 53RE:
Temperature of a Skillet A skillet is removed from an oven whose temperature is 450F and placed in a...Problem 54RE:
World Population The annual growth rate of the world's population in 2015 was k=1.08=0.0108 . The...Problem 55RE:
Radioactive Decay The half-life of cobalt is 5.27 years. If 100 grams of radioactive cobalt is...Problem 56RE:
Logistic Growth The logistic growth model Pt= 0.8 1+1.67 e 0.16t represents the proportion of new...Problem 57RE:
Rising Tuition The following data represent the average in-state tuition and fees (in 2013 dollars)...Browse All Chapters of This Textbook
Chapter 1.1 - The Distance And Midpoint Formulas; Graphing Utilities; Introduction To Graphing EquationsChapter 1.2 - Intercepts; Symmetry; Graphing Key EquationsChapter 1.3 - Solving Equations Using A Graphing UtilityChapter 1.4 - LinesChapter 1.5 - CirclesChapter 1.R - ReviewChapter 2.1 - FunctionsChapter 2.2 - The Graph Of A FunctionChapter 2.3 - Properties Of FunctionsChapter 2.4 - Library Of Functions;piecewise-defined Functions
Chapter 2.5 - Graphing Techniques: TransformationsChapter 2.6 - Mathematical Models: Building FunctionsChapter 2.R - ReviewChapter 2.CR - Cumulative ReviewChapter 3.1 - Properties Of Linear Functions And Linear ModelsChapter 3.2 - Building Linear Models From DataChapter 3.3 - Quadratic Functions And Their PropertiesChapter 3.4 - Build Quadratic Models From Verbal Descriptions And From DataChapter 3.5 - Inequalities Involving Quadratic FunctionsChapter 3.R - Chapter ReviewChapter 3.CT - Chapter TestChapter 3.CR - Cumulative ReviewChapter 4.1 - Polynomial Functions And ModelsChapter 4.2 - The Real Zeros Of A Polynomial FunctionChapter 4.3 - Complex Zeros; Fundamental Theorem Of AlgebraChapter 4.4 - Properties Of Rational FunctionsChapter 4.5 - The Graph Of A Rational FunctionChapter 4.6 - Polynomial And Rational InequalitiesChapter 5.1 - Composite FunctionsChapter 5.2 - One-to-one Functions; Inverse FunctionsChapter 5.3 - Exponential FunctionsChapter 5.4 - Logarithmic FunctionsChapter 5.5 - Properties Of LogarithmsChapter 5.6 - Logarithmic And Exponential EquationsChapter 5.7 - Financial ModelsChapter 5.8 - Exponential Growth And Decay Models; Newton’s Law; Logistic Growth And Decay ModelsChapter 5.9 - Building Exponential, Logarithmic, And Logistic Models From DataChapter 5.R - ReviewChapter 6.1 - Angles And Their MeasureChapter 6.2 - Trigonometric Functions: Unit Circle ApproachChapter 6.3 - Properties Of The Trigonometric FunctionsChapter 6.4 - Graphs Of The Sine And Cosine FunctionsChapter 6.5 - Graphs Of The Tangent, Cotangent, Cosecant, And Secant FunctionsChapter 6.6 - Phase Shift; Sinusoidal Curve FittingChapter 7.1 - The Inverse Sine, Cosine, And Tangent FunctionsChapter 7.2 - The Inverse Trigonometric Functions (continued)Chapter 7.3 - Trigonometric EquationsChapter 7.4 - Trigonometric IdentitiesChapter 7.5 - Sum And Difference FormulasChapter 7.6 - Double-angle And Half-angle FormulasChapter 7.7 - Product-to-sum And Sum-to-product FormulasChapter 7.R - ReviewChapter 8.1 - Right Triangle Trigonometry; ApplicationsChapter 8.2 - The Law Of SinesChapter 8.3 - The Law Of CosinesChapter 8.4 - Area Of A TriangleChapter 8.5 - Simple Harmonic Motion; Damped Motion; Combining WavesChapter 8.R - ReviewChapter 9.1 - Polar CoordinatesChapter 9.2 - Polar Equations And GraphsChapter 9.3 - The Complex Plane; De Moivre’s TheoremChapter 9.4 - VectorsChapter 9.5 - The Dot ProductChapter 9.6 - Vectors In SpaceChapter 9.7 - The Cross ProductChapter 10.2 - The ParabolaChapter 10.3 - The EllipseChapter 10.4 - The HyperbolaChapter 10.5 - Rotation Of Axes; General Form Of A ConicChapter 10.6 - Polar Equations Of ConicsChapter 10.7 - Plane Curves And Parametric EquationsChapter 10.R - ReviewChapter 11.1 - Systems Of Linear Equations: Substitution And EliminationChapter 11.2 - Systems Of Linear Equations: MatricesChapter 11.3 - Systems Of Linear Equations: DeterminantsChapter 11.4 - Matrix AlgebraChapter 11.5 - Partial Fraction DecompositionChapter 11.6 - Systems Of Nonlinear EquationsChapter 11.7 - Systems Of InequalitiesChapter 11.8 - Linear ProgrammingChapter 12.1 - SequencesChapter 12.2 - Arithmetic SequencesChapter 12.3 - Geometric Sequences; Geometric SeriesChapter 12.4 - Mathematical InductionChapter 12.5 - The Binomial TheoremChapter 13.1 - CountingChapter 13.2 - Permutations And CombinationsChapter 13.3 - ProbabilityChapter 13.R - ReviewChapter 14.1 - Finding Limits Using Tables And GraphsChapter 14.2 - Algebra Techniques For Finding LimitsChapter 14.3 - One-sided Limits; Continuous FunctionsChapter 14.4 - The Tangent Problem; The DerivativeChapter 14.5 - The Area Problem; The IntegralChapter A.1 - Algebra EssentialsChapter A.2 - Geometry EssentialsChapter A.3 - PolynomialsChapter A.4 - Synthetic DivisionChapter A.5 - Rational ExpressionsChapter A.6 - Solving EquationsChapter A.7 - Complex Numbers; Quadratic Equations In The Complex Number SystemChapter A.8 - Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate Job ApplicationsChapter A.9 - Interval Notation; Solving InequalitiesChapter A.10 - Nth Roots; Rational ExponentsChapter B - The Limit Of A Sequence; Infinite Series
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Precalculus: Enhanced... -Guided Lecture
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