Solutions for Precalculus Enhanced with Graphing Utilities, Books a la Carte Edition Plus NEW MyLab Math -- Access Card Package (7th Edition)
Problem 1AE:
Growth of an Insect Population The size P of a certain insect population at time t (in days) obeys...Problem 2AE:
Growth of Bacteria The number N of bacteria present in a culture at time t (in hours) obeys the...Problem 3AE:
Radioactive Decay Strontium-90 is a radioactive material that decays according to the function A(t)=...Problem 4AE:
Radioactive Decay Iodine-131 is a radioactive material that decays according to the function A(t)= A...Problem 5AE:
Growth of a Colony of Mosquitoes The population of a colony of mosquitoes obeys the law of...Problem 6AE:
Bacterial Growth A culture of bacteria obeys the law of uninhibited growth. (a) If N is the number...Problem 7AE:
Population Growth The population of a southern city follows the exponential law. (a) If N is the...Problem 8AE:
Ρopulation Decline The population of a midwestern city follows the exponential law. (a) If N is the...Problem 9AE:
Radioactive Decay The half-life of radium is 1690 years, If 10 grams is present now, how much will...Problem 10AE:
Radioactive Decay The half-life of radioactive potassium is 1.3 billion years. If 10 grams is...Problem 11AE:
Estimating the Age of a Tree A piece of charcoal is found to contain 30% of the carbon-14 that it...Problem 12AE:
Estimating the Age of a Fossil A fossilized leaf contains 70 of its normal amount of carbon-14. (a)...Problem 13AE:
Cooling Time of a Pizza A pizza baked at 450 F is removed from the oven at 5:00 PM and placed in a...Problem 14AE:
Newton’s Law of Cooling A thermometer reading 72 F is placed in a refrigerator where the...Problem 15AE:
Newton’s Law of Heating A thermometer reading 8 C is brought into a room with a constant...Problem 16AE:
Warming Time of a Beer Stein A beer stein has a temperature of 28 F .It is placed in a room with a...Problem 17AE:
Decomposition of Chlorine in a Pool Under certain water conditions, the free chlorine (hypochlorous...Problem 18AE:
Decomposition of Dinitrogen Pentoxide At 45 C , dinitrogen pentoxide ( N 2 O 5 ) decomposes into...Problem 19AE:
Decomposition of Sucrose Reacting with water in an acidic solution at 35 C , sucrose ( C 12 H 22 O...Problem 20AE:
Decomposition of Salt in Water Salt ( NaCl ) decomposes in water into sodium ( Na ) and chloride (...Problem 21AE:
Radioactivity from Chernobyl After the release of radioactive material into the atmosphere from a...Problem 22AE:
Pig Roasts The hotel Bora-Bora is having a pig roast. At noon, the chef put the pig in a large...Problem 23AE:
Population of a Bacteria Culture The logistic growth model P(t)= 1000 1+32 .33e 0.439t represents...Problem 24AE:
Population of an Endangered Species Environmentalists often capture an endangered species and...Problem 25AE:
Invasive Species A habitat can be altered by invasive species that crowd out or replace native...Problem 26AE:
Word Users According to a survey by Olsten Staffing Services, the percentage of companies reporting...Problem 27AE:
Home Computers The logistic model P(t)= 95.4993 1+0 .0405e 0.1968t represents the percentage of...Problem 28AE:
Farmers The logistic model W(t)= 14,656,248 1+0 .059e 0.057t represents the number of farm workers...Problem 29AE:
Birthdays The logistic model P(n)= 113.3198 1+0 .115e 0.0912n models the probability that, in a room...Problem 30AE:
Social Networking The logistic model P(t)= 30.3 1+5 .31e 0.703t gives the percentage of Americans...Problem 31AE:
Problems 31 and 32 refer to the following discussion: Uninhibited growth can be modeled by...Problem 32AE:
Problems 31 and 32 refer to the following discussion: Uninhibited growth can be modeled by...Problem 33RYK:
Problems 33-36 are based on material learned earlier in the course. The purpose of these problems is...Problem 34RYK:
Problems 33-36 are based on material learned earlier in the course. The purpose of these problems is...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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