Solutions for Student Solutions Manual for Calculus & Its Applications and Calculus & Its Applications, Brief Version
Problem 2CYU:
Solve the equation 7263x=28.Problem 3E:
Write each expression in Exercises 1-14 in the form 2kx or 3kx, for a suitable constant k. 82x/3,...Problem 4E:
Write each expression in Exercises 1-14 in the form 2kx or 3kx, for a suitable constant k. 9x/2,...Problem 5E:
Write each expression in Exercises 1-14 in the form 2kx or 3kx, for a suitable constant k. (14)2x,...Problem 6E:
Write each expression in Exercises 1-14 in the form 2kx or 3kx, for a suitable constant k. (19)2x,...Problem 8E:
Write each expression in Exercises 1-14 in the form 2kx or 3kx, for a suitable constant k. 7x14x,...Problem 9E:
Write each expression in Exercises 1-14 in the form 2kx or 3kx, for a suitable constant k. 34x32x,...Problem 12E:
Write each expression in Exercises 1-14 in the form 2kx or 3kx, for a suitable constant k....Problem 16E:
Find b so that 8x/3=bx for all x.Problem 17E:
Solve the following equations for x. 52x=52Problem 18E:
Solve the following equations for x. 10x=102Problem 20E:
Solve the following equations for x. (3.2)x3=(3.2)5Problem 21E:
Solve the following equations for x. 101x=100Problem 22E:
Solve the following equations for x. 24x=8Problem 23E:
Solve the following equations for x. 3(2.7)5x=8.1Problem 24E:
Solve the following equations for x. 4(2.7)2x1=10.8Problem 25E:
Solve the following equations for x. (2x+123)2=2Problem 26E:
Solve the following equations for x. (32x32)4=3Problem 27E:
Solve the following equations for x. 23x=425xProblem 28E:
Solve the following equations for x. 35x3x3=0Problem 29E:
Solve the following equations for x. (1+x)2x52x=0Problem 31E:
Solve the following equations for x. 2x822x=0Problem 33E:
Solve the following equations for x. [Hint: In Exercises 33-36, let X=2x or X=3x.] 22x62x+8=0Problem 35E:
Solve the following equations for x. [Hint: In Exercises 33-36, let X=2x or X=3x.] 32x123x+27=0Problem 37E:
The expressions in Exercises 37-42 may be factored as shown. Find the missing factors. 23+h=23()Problem 38E:
The expressions in Exercises 37-42 may be factored as shown. Find the missing factors. 23+h=23()Problem 39E:
The expressions in Exercises 37-42 may be factored as shown. Find the missing factors. 2x+h2x=2x()Problem 40E:
The expressions in Exercises 37-42 may be factored as shown. Find the missing factors. 5x+h+5x=5x()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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