Solutions for CALCULUS+ITS APPLICATIONS
Problem 1E:
In Exercises 1-22, graph each equation. Use a graphing calculator only as a check. 1. y=x1Problem 5E:
In Exercises 1-22, graph each equation. Use a graphing calculator only as a check. 5. y=53x+3Problem 6E:
In Exercises 1-22, graph each equation. Use a graphing calculator only as a check. 6. y=23x4Problem 10E:
In Exercises 1-22, graph each equation. Use a graphing calculator only as a check. 10. 8y2x=4Problem 11E:
In Exercises 1-22, graph each equation. Use a graphing calculator only as a check. 11. 2x+5y=10Problem 12E:
In Exercises 1-22, graph each equation. Use a graphing calculator only as a check. 12. 5x6y=12Problem 20E:
In Exercises 1-22, graph each equation. Use a graphing calculator only as a check. 20. y=5x2Problem 21E:
In Exercises 1-22, graph each equation. Use a graphing calculator only as a check. 21. y7=x3Problem 22E:
In Exercises 1-22, graph each equation. Use a graphing calculator only as a check. 22. y+1=x3Problem 24E:
Running records. According to at least one study, the world record in any running race can be...Problem 25E:
Optimum solar panel angle. The optimum angle A, in degrees, to tilt a solar panel to capture the...Problem 28E:
Use the model N=0.0011t2+0.0412t+3.032, where t is the number of years since 2007 and N is the...Problem 29E:
Snowboarding in the half-pipe. Shaun White, The Flying Tomato, won a gold medal in the 2010 Winter...Problem 31E:
Compound interest. Southside Investments purchases a $100,000 certificate of deposit from Newton...Problem 33E:
Compound interest. Stateside Brokers deposit $30,000 in Godel Municipal Bond Funds, at 4. How much...Problem 34E:
Compound interest. The Kims deposit $1000 in Wiles Municipal Bond Funds, at 5. How much is the...Problem 35E:
Determining monthly loan payments. If P dollars are borrowed at an annual interest rate r, expressed...Problem 36E:
Determining monthly loan payments. If P dollars are borrowed at an annual interest rate r, expressed...Problem 37E:
Annuities. If P dollars are invested annually in an annuity (investment fund), after n years, the...Problem 38E:
Annuities. If P dollars are invested annually in an annuity (investment fund), after n years, the...Problem 39E:
Unemployment rate. The unemployment rate in the United States from 2006 to 2016 is shown in the...Problem 43E:
Annual yield. The annual interest rate r, when compounded more than once a year, results in a...Problem 46E:
Annual yield. The annual interest rate r, when compounded more than once a year, results in a...Browse All Chapters of This Textbook
Chapter PSDT - Prerequisite Skills Diagnostic TestChapter R - Functions, Graphs, And ModelsChapter R.1 - Graphs And EquationsChapter R.2 - Functions And ModelsChapter R.3 - Finding Domain And RangeChapter R.4 - Slope And Linear FunctionsChapter R.5 - Nonlinear Functions And ModelsChapter R.6 - Exponential And Logarithmic FunctionsChapter R.7 - Mathematical Modeling And Curve FittingChapter 1 - Differentiation
Chapter 1.1 - Limits: A Numerical And Graphical ApproachChapter 1.2 - Algebraic Limits And ContinuityChapter 1.3 - Average Rates Of ChangeChapter 1.4 - Differentiation Using Limits Of Difference QuotientsChapter 1.5 - Leibniz Notation And The Power And Sum–difference RulesChapter 1.6 - The Product And Quotient RulesChapter 1.7 - The Chain RuleChapter 1.8 - Higher-order DerivativesChapter 2 - Exponential And Logarithmic FunctionsChapter 2.1 - Exponential And Logarithmic Functions Of The Natural Base, EChapter 2.2 - Derivatives Of Exponential (base-e) FunctionsChapter 2.3 - Derivatives Of Natural Logarithmic FunctionsChapter 2.4 - Applications: Uninhibited And Limited Growth ModelsChapter 2.5 - Applications: Exponential DecayChapter 2.6 - The Derivatives Of AndChapter 3 - Applications Of DifferentiationChapter 3.1 - Using First Derivatives To Classify Maximum And Minimum Values And Sketch GraphsChapter 3.2 - Using Second Derivatives To Classify Maximum And Minimum Values And Sketch GraphsChapter 3.3 - Graph Sketching: Asymptotes And Rational FunctionsChapter 3.4 - Optimization: Finding Absolute Maximum And Minimum ValuesChapter 3.5 - Optimization: Business, Economics, And General ApplicationsChapter 3.6 - Marginals, Differentials, And LinearizationChapter 3.7 - Elasticity Of DemandChapter 3.8 - Implicit Differentiation And Logarithmic DifferentiationChapter 3.9 - Related RatesChapter 4 - IntegrationChapter 4.1 - AntidifferentiationChapter 4.2 - Antiderivatives As AreasChapter 4.3 - Area And Definite IntegralsChapter 4.4 - Properties Of Definite Integrals: Additive Property, Average Value And Moving AverageChapter 4.5 - Integration Techniques: SubstitutionChapter 4.6 - Integration Techniques: Integration By PartsChapter 4.7 - Numerical IntegrationChapter 5 - Applications Of IntegrationChapter 5.1 - Consumer And Producer Surplus; Price Floors, Price Ceilings, And deadweights LossChapter 5.2 - Integrating Growth And Decay ModelsChapter 5.3 - Improper IntegralsChapter 5.4 - ProbabilityChapter 5.5 - Probability: Expected Value; The Normal DistributionChapter 5.6 - VolumeChapter 5.7 - Differential EquationsChapter 6 - Functions Of Several VariablesChapter 6.1 - Functions Of Several VariablesChapter 6.2 - Partial DerivativesChapter 6.3 - Maximum–minimum ProblemsChapter 6.4 - An Application: The Least-squares TechniqueChapter 6.5 - Constrained Optimization: Lagrange Multipliers And The Extreme-value TheoremChapter 6.6 - Double IntegralsChapter CR - Cumulative ReviewChapter A - Review Of Basic AlgebraChapter B - Indeterminate Forms And L’hôpital’s RuleChapter C - Regression And Microsoft ExcelChapter E - Using Tables Of Integration Formulas
Book Details
For one-semester courses in Applied Calculus. Anticipating and meeting student needs.
Calculus and Its Applications, Brief Version remains a best-selling text because of its intuitive approach that anticipates student needs, and a writing style that pairs clear explanations with carefully crafted figures to help students visualize concepts. Key enhancements in the 12th Edition include the earlier introduction of logarithmic and exponential functions to help students master these important functions and their applications.
Sample Solutions for this Textbook
We offer sample solutions for CALCULUS+ITS APPLICATIONS homework problems. See examples below:
Chapter PSDT, Problem 1APChapter R, Problem 1REChapter 1, Problem 1REGiven Information: The function is Pt=50e0.03t . From the equation it is seen that the given...Given information: Description of the graph is “A function with a relative maximum but no absolute...Chapter 4, Problem 1REChapter 5, Problem 1REChapter 6, Problem 1REGiven: The given function is fx=x2−5 . Calculation: Evaluating fx+h for the function fx=x2−5 by...
Chapter A, Problem 1EGiven information: limx→5x2−252x−10 Concept: According to L’hopital’s rule, If limx→cfxgx , reduces...Given information: Given data is: x4681012 y1522273344 Concept: Plot the points in excel and then...Given: ∫xe−3xdx Formula used: The Integration by parts formula ∫udv=uv−∫vdu . ∫eaxdx=1aeax+C , where...
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