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 1CYU:
Volume A canvas wind shelter for the beach has a back, two square sides, and a top (Fig. 11). If 96...Problem 2E:
Find the maximum value of the function f(x)=12xx2, and give the value of x where this maximum...Problem 3E:
Find the minimum value of f(t)=t36t2+40, t0 and give the value of t where this minimum occurs.Problem 6E:
Optimization with Constraint Find two positive numbers x and y that maximize Q=x2y if x+y=2.Problem 8E:
In Exercise 7, can there be a maximum for Q=x2+y2 if x+y=6? Justify your answer. Optimization with...Problem 9E:
Minimizing a Sum Find the positive values of x and y that minimize S=x+y if xy=36, and find this...Problem 10E:
Maximizing a Product Find the positive values of x,y, and z that maximize Q=xyz, if x+y=1 and y+z=2....Problem 11E:
Area There are 320 available to fence in a rectangular garden. The fencing for the side of the...Problem 12E:
Volume Figure 12 (b) shows an open rectangular box with a square base. Consider the problem of...Problem 13E:
Volume Postal requirements specify that parcels must have length plus girth of at most 84 inches....Problem 14E:
Perimeter Consider the problem of finding the dimensions of the rectangular garden of area 100...Problem 15E:
Cost A rectangular garden of area 75 square feet is to be surrounded on three sides by a brick wall...Problem 16E:
Cost A closed rectangular box with a square base and a volume of 12 cubic feet is to be constructed...Problem 17E:
Surface Area Find the dimensions of the closed rectangular box with square base and volume 8000...Problem 18E:
Volume A canvas wind shelter for the beach has a back, two square sides, and a top. Find the...Problem 19E:
Area A farmer has 1500 available to build an E-shaped fence along a straight river so as to create...Problem 20E:
Area Find the dimensions of the rectangular garden of greatest area that can be fenced off (all four...Problem 21E:
Maximizing a Product Find two positive numbers, xandy, whose sum is 100 and whose product is as...Problem 22E:
Minimizing a Sum Find two positive numbers, xandy, whose product is 100 and whose sum is as small as...Problem 23E:
Area Figure 140 (a) shows a Norman window, which consists of a rectangle capped by a semicircular...Problem 24E:
Surface Area A large soup can is to be designed so that the can will hold 16 cubic inches (about 28...Problem 25E:
In Example 3 we can solve the constraint equation (2) for x instead of w to get x=2012w....Problem 26E:
Cost A ship uses 5x2 dollars of fuel per hour when traveling at a speed of x miles per hour. The...Problem 27E:
Cost A cable is to be installed from one corner, C, of a rectangular factory to a machine, M, on the...Problem 28E:
Area A rectangular page is to contain 50 square inches of print The page has to have a 1-inch margin...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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