Solutions for Student Solutions Manual for Calculus & Its Applications and Calculus & Its Applications, Brief Version
Problem 7E:
Use intervals to describe the real numbers satisfying the inequalities in Exercises 712. 2x3Problem 8E:
Use intervals to describe the real numbers satisfying the inequalities in Exercises 712. 1x32Problem 9E:
Use intervals to describe the real numbers satisfying the inequalities in Exercises 712. x0 and x1Problem 10E:
Use intervals to describe the real numbers satisfying the inequalities in Exercises 712. x1 and x8Problem 11E:
Use intervals to describe the real numbers satisfying the inequalities in Exercises 712. x3Problem 12E:
Use intervals to describe the real numbers satisfying the inequalities in Exercises 712. x2Problem 13E:
If f(x)=x23x, find f(0), f(5), and f(7).Problem 14E:
If f(x)=x3+x2x1, find f(1), f(1), f(12), and f(a).Problem 15E:
If f(x)=x22x, find f(a+1) and f(a+2).Problem 16E:
If h(s)=s/(1+s), find h(12), h(32), and h(a1).Problem 19E:
Temperature Scales The boiling point of tungsten is approximately 5933 Kelvin. Find the boiling...Problem 20E:
Computer Scales An office supply firm finds that the number of laptop computers sold in year x is...Problem 35E:
Exercises 35-42 relate to the function whose graph is sketched in fig 12 Find f(0)andf(7).Problem 36E:
Exercises 35-42 relate to the function whose graph is sketched in fig 12 Find f(2)andf(1).Problem 38E:
Exercises 35-42 relate to the function whose graph is sketched in fig 12 Is f(6) positive or...Problem 40E:
Exercises 35-42 relate to the function whose graph is sketched in fig 12 For what values of x does...Problem 41E:
Exercises 35-42 relate to the function whose graph is sketched in fig 12 For what values of x is...Problem 42E:
Exercises 35-42 relate to the function whose graph is sketched in fig 12 For what values of x is...Problem 44E:
Exercises 4346 relate to Fig. 13. When a drug is injected into a person's muscle tissue, the...Problem 45E:
Exercises 4346 relate to Fig. 13. When a drug is injected into a person's muscle tissue, the...Problem 46E:
Exercises 4346 relate to Fig. 13. When a drug is injected into a person's muscle tissue, the...Problem 51E:
Find the y -coordinate of the point (a+1,?) if this point lies on the graph of the function f(x)=x3.Problem 52E:
Find the y -coordinate of the point (a+h,?) if this point lies on the graph of the function...Problem 57E:
Commission on Gold Purchases A brokerage firm charges 6 commission on gold purchases in amounts from...Problem 59E:
Figure 14(b) shows the number a on the x -axis and the graph of a function. Let h represent a...Problem 60E:
Technology Exercises Response of a Muscle When a solution of acetylcholine is introduced into the...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
Book Details
Calculus & Its Applications builds intuition with key concepts of calculus before the analytical material. For example, the authors explain the derivative geometrically before they present limits, and they introduce the definite integral intuitively via the notion of net change before they discuss Riemann sums. The strategic organization of topics makes it easy to adjust the level of theoretical material covered. The significant applications introduced early in the course serve to motivate students and make the mathematics more accessible. Another unique aspect of the text is its intuitive use of differential equations to model a variety of phenomena in Chapter 5, which addresses applications of exponential and logarithmic functions.
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