Pearson eText for Calculus & Its Applic...14th EditionLarry Goldstein, David Lay Publisher: PEARSON+ISBN: 9780137400096
Pearson eText for Calculus & Its Applic...
Solutions for Pearson eText for Calculus & Its Applications -- Instant Access (Pearson+)
Problem 1CYU:
a. Solve the differential equation P(t)=0.6P(t),P(0)=50. b. Solve the differential equation...Problem 2CYU:
Under ideal conditions a colony of Escherichia coli bacteria can grow by a factor of 100 every 2...Problem 1E:
In Exercises 110, determine the growth constant k, then find all solutions of the given differential...Problem 2E:
In Exercises 110, determine the growth constant k, then find all solutions of the given differential...Problem 3E:
In Exercises 110, determine the growth constant k, then find all solutions of the given differential...Problem 4E:
In Exercises 110, determine the growth constant k, then find all solutions of the given differential...Problem 5E:
In Exercises 110, determine the growth constant k, then find all solutions of the given differential...Problem 6E:
In Exercises 110, determine the growth constant k, then find all solutions of the given differential...Problem 7E:
In Exercises 110, determine the growth constant k, then find all solutions of the given differential...Problem 8E:
In Exercises 110, determine the growth constant k, then find all solutions of the given differential...Problem 9E:
In Exercises 110, determine the growth constant k, then find all solutions of the given differential...Problem 10E:
In Exercises 110, determine the growth constant k, then find all solutions of the given differential...Problem 11E:
In Exercises 1118, solve the given differential equation with initial condition. y=3y,y(0)=1. .Problem 12E:
In Exercises 1118, solve the given differential equation with initial condition. y=4y,y(0)=0. .Problem 13E:
In Exercises 1118, solve the given differential equation with initial condition. y=2y,y(0)=2. .Problem 14E:
In Exercises 1118, solve the given differential equation with initial condition. y=y,y(0)=4. .Problem 15E:
In Exercises 1118, solve the given differential equation with initial condition. y0.6y=0,y(0)=5. .Problem 16E:
In Exercises 1118, solve the given differential equation with initial condition. yy7=0,y(0)=6. .Problem 17E:
In Exercises 1118, solve the given differential equation with initial condition. 6y=y,y(0)=12. .Problem 18E:
In Exercises 1118, solve the given differential equation with initial condition. 5y=3y,y(0)=7. .Problem 19E:
Population and Exponential Growth Let P(t) be the population (in millions) of a certain city t years...Problem 20E:
Growth of a Colony of Fruit Flies A colony of fruit flies exhibits exponential growth. Suppose that...Problem 21E:
GrowthConstant for a Bacteria Culture Abacteria culture that exhibits exponential growth quadruples...Problem 22E:
Growth of a Bacteria Culture The initial size of a bacteria culture that grows exponentially was...Problem 23E:
Using the Differential Equation Let P(t) be the population (in millions) of a certain city t years...Problem 24E:
Growth of Bacteria Approximately 10,000 bacteria are placed in a culture. Let P(t) be the number of...Problem 25E:
Growth of cells After t hours, there are P(t) cells present in a culture, where, P(t)=5000e0.2t a....Problem 26E:
Insect Population The size of a certain insect population is given by P(t)=300e0.01t, where t is...Problem 27E:
Population Growth Determine the growth constant of a population that is growing at a rate...Problem 28E:
Time to Triple Determine the growth constant of a population that is growing at a rate proportional...Problem 29E:
Exponential Growth A population is growing exponentially with growth constant 0.05. In how many...Problem 30E:
Time to DoubleA population is growing exponentially with growth constant 0.04. In how many years...Problem 31E:
Exponential Growth The rate of growth of a certain cell culture is proportional to its size. In 10...Problem 32E:
Worlds Population The worlds population was 5.51 billion on January 1,1993, and 5.58 billion on...Problem 34E:
A Population Model The population (in millions) of a state t years after 2010 is given by the graph...Problem 35E:
Radioactive Decay A sample of 8 grams of radioactive material is placed in a vault. Let P(t) be the...Problem 36E:
Radioactive Decay Radium 226 is used in cancer radiotherapy. Let P(t) be the number of grams of...Problem 37E:
Decay of Penicillin in the Bloodstream A person is given an injection of 300 milligrams of...Problem 38E:
Radioactive Decay Ten grams of a radioactive substance with decay constant 0.04 is stored in a...Problem 39E:
Radioactive Decay The decay constant for the radioactive element cesium 137 is 0.023 when time is...Problem 40E:
Drug ConstantRadioactive cobalt 60 has a half-life of 5.3 years. Find its decay constant.Problem 41E:
Iodine Level in Dairy Products If dairy cows eat hay containing too much iodine 131, their milk will...Problem 42E:
Half-Life Ten grams of a radioactive material disintegrates to 3 grams in 5 years. What is the...Problem 43E:
Decay of Sulfate in the Bloodstream In an animal hospital, 8 units of a sulfate were injected into a...Problem 44E:
Radioactive Decay Forty grams of a certain radioactive material disintegrates to 16 grams in 220...Problem 45E:
Radioactive Decay A sample of radioactive material decays over time (measured in hours) with decay...Problem 46E:
Rate of Decay A sample of radioactive material has decay constant .25, where time is measured in...Problem 47E:
Carbon Dating In 1947, a cave with beautiful prehistoric wall paintings was discovered in Lascaux,...Problem 48E:
King Arthur's Round Table According to legend, in the fifth century King Arthur and his knights sat...Problem 50E:
Population of the PacificNorthwest In 1938, sandals woven from strands of tree bark were found in...Problem 51E:
Time of the Fourth Ice Age Many scientists believe there have been four ice ages in the past 1...Problem 52E:
Time Constant Let T be the time constant of the curve y=Cet as defined in Fig. 5. Show that T=1/....Problem 54E:
Time Constant and Half-life Consider as exponential decay function P(t)=P0et, and let T denote its...Browse All Chapters of This Textbook
Chapter 0 - FunctionsChapter 0.1 - Functions And Their GraphsChapter 0.2 - Some Important FunctionsChapter 0.3 - The Algebra Of FunctionsChapter 0.4 - Zeros Of Functions—the Quadratic Formula And FactoringChapter 0.5 - Exponents And Power FunctionsChapter 0.6 - Functions And Graphs In ApplicationsChapter 1 - The DerivativeChapter 1.1 - The Slope Of A Straight LineChapter 1.2 - The Slope Of A Curve At A Point
Chapter 1.3 - The Derivative And LimitsChapter 1.4 - Limits And The DerivativeChapter 1.5 - Differentiability And ContinuityChapter 1.6 - Some Rules For DifferentiationChapter 1.7 - More About DerivativesChapter 1.8 - The Derivative As A Rate Of ChangeChapter 2 - Applications Of The DerivativeChapter 2.1 - Describing Graphs Of FunctionsChapter 2.2 - The First- And Second-derivative RulesChapter 2.3 - The First- And Second-derivative Tests And Curve SketchingChapter 2.4 - Curve Sketching (conclusion)Chapter 2.5 - Optimization ProblemsChapter 2.6 - Further Optimization ProblemsChapter 2.7 - Applications Of Derivatives To Business And EconomicsChapter 3 - Techniques Of DifferentiationChapter 3.1 - The Product And Quotient RulesChapter 3.2 - The Chain RuleChapter 3.3 - Implicit Differentiation And Related RatesChapter 4 - The Exponential And Natural Logarithm FunctionsChapter 4.1 - Exponential FunctionsChapter 4.2 - The Exponential Function ExChapter 4.3 - Differentiation Of Exponential FunctionsChapter 4.4 - The Natural Logarithm FunctionChapter 4.5 - The Derivative Of Ln XChapter 4.6 - Properties Of The Natural Logarithm FunctionChapter 5 - Applications Of The Exponential And Natural Logarithm FunctionsChapter 5.1 - Exponential Growth And DecayChapter 5.2 - Compound InterestChapter 5.3 - Applications Of The Natural Logarithm Function To EconomicsChapter 5.4 - Further Exponential ModelsChapter 6 - The Definite IntegralChapter 6.1 - AntidifferentiationChapter 6.2 - The Definite Integral And Net Change Of A FunctionChapter 6.3 - The Definite Integral And Area Under A GraphChapter 6.4 - Areas In The Xy-planeChapter 6.5 - Applications Of The Definite IntegralChapter 7 - Functions Of Several VariablesChapter 7.1 - Examples Of Functions Of Several VariablesChapter 7.2 - Partial DerivativesChapter 7.3 - Maxima And Minima Of Functions Of Several VariablesChapter 7.4 - Lagrange Multipliers And Constrained OptimizationChapter 7.5 - The Method Of Least SquaresChapter 7.6 - Double IntegralsChapter 8 - The Trigonometric FunctionsChapter 8.1 - Radian Measure Of AnglesChapter 8.2 - The Sine And The CosineChapter 8.3 - Differentiation And Integration Of Sin T And Cos TChapter 8.4 - The Tangent And Other Trigonometric FunctionsChapter 9 - Techniques Of IntegrationChapter 9.1 - Integration By SubstitutionChapter 9.2 - Integration By PartsChapter 9.3 - Evaluation Of Definite IntegralsChapter 9.4 - Approximation Of Definite IntegralsChapter 9.5 - Some Applications Of The IntegralChapter 9.6 - Improper IntegralsChapter 10 - Differential EquationsChapter 10.1 - Solutions Of Differential EquationsChapter 10.2 - Separation Of VariablesChapter 10.3 - First-order Linear Differential EquationsChapter 10.4 - Applications Of First-order Linear Differential EquationsChapter 10.5 - Graphing Solutions Of Differential EquationsChapter 10.6 - Applications Of Differential EquationsChapter 10.7 - Numerical Solution Of Differential EquationsChapter 11 - Taylor Polynomials And Infinite SeriesChapter 11.1 - Taylor PolynomialsChapter 11.2 - The Newton–raphson AlgorithmChapter 11.3 - Infinite SeriesChapter 11.4 - Series With Positive TermsChapter 11.5 - Taylor SeriesChapter 12 - Probability And CalculusChapter 12.1 - Discrete Random VariablesChapter 12.2 - Continuous Random VariablesChapter 12.3 - Expected Value And VarianceChapter 12.4 - Exponential And Normal Random VariablesChapter 12.5 - Poisson And Geometric Random Variables
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