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 1CCE:
State as many laws of exponents as you can recall.Problem 1RE:
Calculate the following. 274/3Problem 2RE:
Calculate the following. 41.5Problem 5RE:
Calculate the following. (25/7)14/5Problem 8RE:
Calculate the following. 40.240.3Problem 9RE:
Simplify the following. (ex2)3Problem 10RE:
Simplify the following. e5xe2xProblem 11RE:
Simplify the following. e3xexProblem 12RE:
Simplify the following. 2x3xProblem 13RE:
Simplify the following. (e8x+7e2x)e3xProblem 14RE:
Simplify the following. e5x/2e3xexProblem 15RE:
Solve the following equations for x. e3x=e12Problem 16RE:
Solve the following equations for x. ex2x=e2Problem 17RE:
Solve the following equations for x. (exe2)3=e9Problem 18RE:
Solve the following equations for x. e5xe4=eProblem 19RE:
Differntiate the following functions. y=10e7xProblem 20RE:
Differntiate the following functions. y=exProblem 21RE:
Differentiate the following functions. y=xex2Problem 22RE:
Differentiate the following functions. y=ex+1x1Problem 23RE:
Differntiate the following functions. y=eexProblem 24RE:
Differntiate the following functions. y=(x+1)e2xProblem 25RE:
Differentiate the following functions. y=x2x+5e3x+3Problem 26RE:
Differentiate the following functions. y=xeProblem 27RE:
The graph of the functions f(x)=ex24x2 is shown in Fig. 1. Find the first coordinates of the...Problem 28RE:
Show that the function in Fig. 1 has a relative maximum at x=0 by determining the concavity of the...Problem 29RE:
Solve the following equations for t. 4e0.03t2e0.06t=0Problem 30RE:
Solve the following equations for t. et8e0.02t=0Problem 35RE:
Determine the intervals where the function f(x)=ln(x2+1) is increasing and where it is decreasing.Problem 36RE:
Determine the intervals where the function f(x)=xlnx(x0) is increasing and where it is decreasing.Problem 39RE:
Simplify the following expressions. e(ln5)/2Problem 40RE:
Simplify the following expressions. eln(x2)Problem 41RE:
Simplify the following expressions. lnx2lnx3Problem 42RE:
Simplify the following expressions. e2ln2Problem 43RE:
Simplify the following expressions. e5ln1Problem 44RE:
Simplify the following expressions. [elnx]2Problem 45RE:
Solve the following equations for t. tlnt=eProblem 46RE:
Solve the following equations for t. ln(ln3t)=0Problem 47RE:
Solve the following equations for t. 3e2t=15Problem 48RE:
Solve the following equations for t. 3et/212=0Problem 49RE:
Solve the following equations for t. 2lnt=5Problem 50RE:
Solve the following equations for t. 2e0.3t=1Problem 51RE:
Differentiate the following functions. y=ln(x6+3x4+1)Problem 52RE:
Differentiate the following functions. y=xlnxProblem 53RE:
Differentiate the following functions. y=ln(5x7)Problem 54RE:
Differentiate the following functions. y=ln(9x)Problem 55RE:
Differentiate the following functions. y=(lnx)2Problem 56RE:
Differentiate the following functions. y=(xlnx)3Problem 57RE:
Differentiate the following functions. y=ln(xex1+x)Problem 59RE:
Differentiate the following functions. y=xlnxxProblem 60RE:
Differentiate the following functions. y=e2ln(x+1)Problem 61RE:
Differentiate the following functions. y=ln(lnx)Problem 62RE:
Differentiate the following functions. y=1lnxProblem 63RE:
Differentiate the following functions. y=exlnxProblem 64RE:
Differentiate the following functions. y=ln(x2+ex)Problem 65RE:
Differentiate the following functions. y=lnx2+12x+3Problem 66RE:
Differentiate the following functions. y=ln|2x+1|Problem 67RE:
Differentiate the following functions. y=ln(ex2x)Problem 68RE:
Differentiate the following functions. y=lnx3+3x23Problem 69RE:
Differentiate the following functions. y=ln(2x)Problem 70RE:
Differentiate the following functions. y=ln(3x+1)ln3Problem 71RE:
Differentiate the following functions. y=ln|x1|Problem 72RE:
Differentiate the following functions. y=e2ln(2x+1)Problem 73RE:
Differentiate the following functions. y=ln(1ex)Problem 74RE:
Differentiate the following functions. y=ln(ex+3ex)Problem 75RE:
Use logarithmic differentiation to differentiate the following functions. f(x)=x5+1x5+5x+15Problem 78RE:
Use logarithmic differentiation to differentiate the following functions. f(x)=bx, where b0Browse 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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