Solutions for Pearson eText for Calculus & Its Applications -- Instant Access (Pearson+)
Problem 1CCE:
What differential equation is key to solving exponential growth and decay problems? State a result...Problem 4CCE:
Explain how radiocarbon dating works.Problem 1RE:
Atmospheric Pressure The atmospheric pressure P(x)(measured in inches of mercury) at height x miles...Problem 2RE:
Population Model The herring gull population in North America has been doubling every 13 years since...Problem 3RE:
Present Value Find the present value of 10,000 payable at the end of 5 years if money can be...Problem 4RE:
Compound Interest One thousand dollars is deposited in a savings account at 10 interest compounded...Problem 5RE:
Half-Life The half-life of the radioactive element tritium is 12 years. Find its decay constant.Problem 6RE:
Carbon Dating A piece of charcoal found at Stonehenge contained 63 of the level of C14 found in...Problem 7RE:
Population Model From January 1, 2010, to January 1, 2017, the population of a state grew from 17...Problem 8RE:
Compound Interest A stock portfolio increased in value from 100,000 to 117,000 in 2 years. What rate...Problem 9RE:
Comparing Investments An investor initially invests 10,000 in a risky venture. Suppose that the...Problem 10RE:
Bacteria Growth Two different bacteria colonies are growing near a pool of stagnant water. The first...Problem 11RE:
Population Model The population of a city t years after 1990 satisfies the differential equation...Problem 12RE:
Bacteria Growth A colony of bacteria is growing exponentially with growth constant .4, with time...Problem 13RE:
Population Model The population of a certain country is growing exponentially. The total population...Problem 14RE:
Radioactive Decay You have 80 grams of a certain radioactive material, and the amount remaining...Problem 15RE:
Compound Interest A few years after money is deposited into a bank, the compound amount is 1000, and...Problem 16RE:
Compound Interest The current balance in a savings account is 1230, and the interest rate is 4.5. At...Problem 18RE:
Find E(p) for the demand function q=400040p2, and determine if demand is elastic or inelastic at...Problem 19RE:
Elasticity of Demand For a certain demand function, E(8)=1.5. If the price is increased to 8.16,...Problem 21RE:
Elasticity of Demand Company can sell q=1000p2e0.02(p+5) calculators at a price of p dollars per...Problem 22RE:
Elasticity of Demand Consider a demand function of the form q=aebp, where a and b are positive...Problem 23RE:
Refer to Check Your Understanding 5.4. Out of 100 doctors in Group A, none knew about the drug at...Problem 24RE:
Height of a Weed The growth of the yellow nutsedge weed is described by a logistic growth formula...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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