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 2CCE:
What is the difference between having a relative maximum at x=2 and having an absolute maximum at...Problem 3CCE:
Give three characterizations of what it means for the graph of f(x) to be concave up at x=2. Concave...Problem 15CCE:
Outline the procedure for solving an optimization problem.Problem 1RE:
Figure (1) contains the graph of f(x), the derivative of f(x). Use the graph to answer the following...Problem 2RE:
Figure (2) shows the graph of function f(x) and its tangent line at x=3. Find f(3),f(3), and f(3).Problem 3RE:
In Exercise 36, draw the graph of a function f(x) for which the function and its first derivative...Problem 4RE:
In Exercise 36, draw the graph of a function f(x) for which the function and its first derivative...Problem 5RE:
In Exercise 36, draw the graph of a function f(x) for which the function and its first derivative...Problem 6RE:
In Exercise 36, draw the graph of a function f(x) for which the function and its first derivative...Problem 7RE:
Exercise 712, refer to the graph in Fig. 3. List the labelled values of x at which the derivative...Problem 8RE:
Exercise 712, refer to the graph in Fig. 3. List the labelled values of x at which the derivative...Problem 9RE:
Exercise 712, refer to the graph in Fig. 3. List the labelled values of x at which the derivative...Problem 10RE:
Exercise 712, refer to the graph in Fig. 3. List the labelled values of x at which the derivative...Problem 11RE:
Exercise 712, refer to the graph in Fig. 3. List the labelled values of x at which the derivative...Problem 12RE:
Exercise 712, refer to the graph in Fig. 3. List the labelled values of x at which the derivative...Problem 13RE:
Properties of various functions are described next. In each case, draw some conclusion about the...Problem 14RE:
Properties of various functions are described next. In each case, draw some conclusion about the...Problem 15RE:
Properties of various functions are described next. In each case, draw some conclusion about the...Problem 16RE:
Properties of various functions are described next. In each case, draw some conclusion about the...Problem 17RE:
Properties of various functions are described next. In each case, draw some conclusion about the...Problem 18RE:
Properties of various functions are described next. In each case, draw some conclusion about the...Problem 19RE:
Properties of various functions are described next. In each case, draw some conclusion about the...Problem 21RE:
In Fig. 4 (a) and 4 (b), the t axis represents time in hours. a) When is f(t)=1? b) Find f(5). c)...Problem 22RE:
U.S. Electric Energy United States electrical energy production (in trillions of kilowatt-hours) in...Problem 33RE:
Sketch the following curves. y=2x3+3x2+1Problem 34RE:
Sketch the following curves. y=x332x26xProblem 35RE:
Sketch the following curves. y=x33x2+3x2Problem 36RE:
Sketch the following curves. y=100+36x6x2x3Problem 37RE:
Sketch the following curves. y=113+3xx213x3Problem 38RE:
Sketch the following curves. y=x33x29x+7Problem 39RE:
Sketch the following curves. y=13x32x25xProblem 40RE:
Sketch the following curves. y=x36x215x+50Problem 41RE:
Sketch the following curves. y=x42x2Problem 42RE:
Sketch the following curves. y=x44x3Problem 43RE:
Sketch the following curves. y=x5+20x+3(x0)Problem 44RE:
Sketch the following curves. y=12x+2x+1(x0)Problem 45RE:
Let f(x)=(x2+2)3/2. Show that the graph of f(x) has a possible relative extreme point at x=0.Problem 47RE:
Let f(x) be a function whose derivative is f(x)=11+x2 Note that f(x) is always positive. Show that...Problem 48RE:
Let f(x) be a function whose derivative is f(x)=5x2+1 Show that the graph of f(x) has an inflection...Problem 49RE:
Position Velocity and Acceleration A car traveling on a straight road and s(t) is the distance...Problem 50RE:
The water level in a reservoir varies during the year. Let h(t) be the depth (in feet) of water at...Problem 51RE:
Population near New York City Let f(x) be the number of people living within x miles of the center...Problem 53RE:
Find the maximum value of the function f(x)=26xx2,0x5, and give the value of x where this maximum...Problem 54RE:
Find the minimum value of the function g(t)=t26t+9,1t6.Problem 55RE:
Surface Area An open rectangular box is to be 4 feet long and have a volume of 200 cubic feet. Find...Problem 56RE:
Volume A closed rectangular box with a square base is to be constructed using two different types of...Problem 57RE:
Volume A long rectangular sheet of metal 30 inches wide is to be made into a gutter by turning up...Problem 58RE:
Maximizing the Total Yield A small orchard yields 25 bushels of fruit per tree when planted with 40...Problem 59RE:
Inventory Control A publishing company sells 400,000 copies of a certain book each year. Ordering...Problem 60RE:
Profit if the demand equation for a monopolist is p=150.02x and the cost function is C(x)=10x+300,...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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