Calculus and Its Applications, Books a ...11th EditionMarvin L. Bittinger, David J. Ellenbogen, Scott J. Surgent Publisher: PEARSONISBN: 9780133862386
Calculus and Its Applications, Books a ...
Solutions for Calculus and Its Applications, Books a la Carte Plus MyLab Math Access Card Package (11th Edition)
Problem 1E:
1. Of all numbers whose sum is 70, find the two that have the maximum product That is, maximize, .
Problem 2E:
2. Of all numbers whose sum is 50, find the two that have the maximum product That is, maximize, ....Problem 7E:
MinimizeQ=x2+2y2,wherex+y=3Problem 8E:
8.
Problem 11E:
11. Maximizing area.. A rancher wants to enclose two rectangular areas near a river, one for sheep...Problem 12E:
Maximizing area. A lifeguard needs to rope off a rectangular swimming area in front of Long Lake...Problem 13E:
13. Maximizing area. Hentz Industries plans to enclose three parallel rectangular areas for sorting...Problem 14E:
14. Maximizing area. Grayson Farms plans to enclose three parallel rectangular livestock pens within...Problem 15E:
15. Maximizing area. Of all rectangles that have a perimeter of 42 ft, find the dimensions of the...Problem 16E:
16. Maximizing area. A carpenter is building a rectangular shed with a fixed perimeter of 54 ft....Problem 17E:
Maximizing volume. From a thin piece of cardboard 20 in, by 20 in., square comers are cut out so...Problem 18E:
Maximizing volume. From a 50-cm-by-50-cm sheet to aluminum, square corners are cut out so that the...Problem 19E:
19. Minimizing surface area. Mendoza Soup Company is constructing an open-top, square-based,...Problem 20E:
Minimizing surface area. Drum Tight Containers is designing an open-top square-based rectangular box...Problem 21E:
Minimizing surface area. Open Air Waste Management is designing a rectangular construction dumpster...Problem 22E:
Minimizing surface area. Ever Green Gardening is designing a rectangular compost container that will...Problem 23E:
For Exercises 23-28 find the maximum profit and the number of units that must be produced and sold...Problem 24E:
For Exercises 23-28 find the maximum profit and the number of units that must be produced and sold...Problem 25E:
For Exercises 23-28 find the maximum profit and the number of units that must be produced and sold...Problem 26E:
For Exercises 23-28 find the maximum profit and the number of units that must be produced and sold...Problem 27E:
For Exercises 23-28 find the maximum profit and the number of units that must be produced and sold...Problem 28E:
For Exercises 23-28 find the maximum profit and the number of units that must be produced and sold...Problem 29E:
Maximizing profit. Riverside Appliances is marketing a new refrigerator. It determines that in order...Problem 30E:
Maximizing profit. Raggs, Ltd., a clothing firm, determines that in order to sell x suits, the price...Problem 31E:
Maximizing profit. Gritz-Charlston is a 300-unit luxury hotel All rooms are occupied when the hotel....Problem 32E:
32. Maximizing revenue. Edwards University wants to determine what price to charge for tickets to...Problem 33E:
Maximizing parking tickets. Oak Glen currently employs 8 patrol officers who each write an average...Problem 34E:
Maximizing yield. Hood Apple Farm yields an average of 30 bushels of apples per tree when 20 trees...Problem 35E:
35. Nitrogen prices. During 2001, nitrogen prices fell by 41%. Over the same year, nitrogen demand...Problem 36E:
36. Vanity license plates. According to a pricing model, increasing the fee for vanity license...Problem 37E:
Maximizing revenue. When the Marchant Theater charges $5 for admission, there is an average...Problem 38E:
Minimizing costs. A rectangular box with a volume of 320ft3 is to be constructed with a square base...Problem 39E:
39. Minimizing cost. A rectangular parking area measuring is to be enclosed on three sides using...Problem 40E:
Minimizing cost. A rectangular garden measuring 1200yd2 is to be enclosed on two parallel sides by...Problem 41E:
41. Maximizing area. Bradley Publishing decides that each page in a new book must have an area of ...Problem 42E:
Minimizing inventory costs. A sporting goods store sells 100 pool tables per year It costs $20 to...Problem 43E:
43. Minimizing inventory costs. A pro shop in a bowling center sells 200 bowling balls per year It...Problem 44E:
Minimizing inventory costs. A retail outlet foe Boxowitz Calculators sells 720 calculators per year....Problem 45E:
45. Minimizing inventory costs. Bon Temps Surf and Scuba Shop sells 360 surfboards per year. It...Problem 46E:
Minimizing inventory costs. Repeat Exercise 44 using the same data, but assume yearly sales of 256...Problem 47E:
Minimizing inventory costs. Repeat Exercise 45 using the same data but change the reorder costs from...Problem 48E:
Minimizing surface area. A closed-top cylindrical container is to have a volume of 250in2 what...Problem 49E:
Minimizing surface area. An open-top cylindrical container is to have a volume of 400cm2. what...Problem 50E:
50. Minimizing cost. Assume that the costs of the materials for making the cylindrical container...Problem 51E:
Minimizing cost. Assume that the costs of the materials for making the cylindrical container...Problem 52E:
Maximizing volume. The postal service places a limit of 84 in. on the combined length and girth of...Problem 53E:
53. Minimizing cost. A rectangular play area of is to be fenced off in a person’s yard The...Problem 55E:
Maximizing light. Repeat Exercises 54 but assume that the semicircle is to be stained glass, which...Problem 56E:
56-110. Use a spreadsheet to numerically verify the result of Exercises 1-55.
56. Of all numbers...Problem 57E:
56-110. Use a spreadsheet to numerically verify the result of Exercises 1-55.
57. Of all numbers...Problem 59E:
56-110. Use a spreadsheet to numerically verify the result of Exercises 1-55.
59. Of all numbers...Problem 61E:
5 Use a spreadsheet to numerically verify the result of Exercises 1-55. Maximize Q=xy2 where x and y...Problem 64E:
5 Use a spreadsheet to numerically verify the result of Exercises 1-55. Maximum Q=xy, where x and y...Problem 66E:
5 Use a spreadsheet to numerically verify the result of Exercises 1-55. Maximizing area. A rancher...Problem 67E:
5 Use a spreadsheet to numerically verify the result of Exercises 1-55. Maximizing area. A lifeguard...Problem 68E:
5 Use a spreadsheet to numerically verify the result of Exercises 1-55. Maximizing area. Hentz...Problem 69E:
56-110. Use a spreadsheet to numerically verify the result of Exercises 1-55.
69. Maximizing area....Problem 70E:
5 Use a spreadsheet to numerically verify the result of Exercises 1-55. Maximizing area. Of all...Problem 72E:
5 Use a spreadsheet to numerically verify the result of Exercises 1-55. Maximizing volume. From a...Problem 73E:
56-110. Use a spreadsheet to numerically verify the result of Exercises 1-55.
73. Maximizing...Problem 74E:
56-110. Use a spreadsheet to numerically verify the result of Exercises 1-55.
74. Minimizing...Problem 77E:
56-110. Use a spreadsheet to numerically verify the result of Exercises 1-55.
77. Minimizing...Problem 81E:
56-110. Use a spreadsheet to numerically verify the result of Exercises 1-55.
For Exercises 23-28...Problem 85E:
56-110. Use a spreadsheet to numerically verify the result of Exercises 1-55.
For Exercises 23-28...Problem 86E:
5 Use a spreadsheet to numerically verify the result of Exercises 1-55. For Exercises 23-28 find the...Problem 88E:
56-110. Use a spreadsheet to numerically verify the result of Exercises 1-55.
For Exercises 23-28...Problem 89E:
5 Use a spreadsheet to numerically verify the result of Exercises 1-55. For Exercises 23-28 find the...Problem 91E:
56-110. Use a spreadsheet to numerically verify the result of Exercises 1-55.
For Exercises 23-28...Problem 93E:
5 Use a spreadsheet to numerically verify the result of Exercises 1-55. Minimizing costs. A...Problem 94E:
5 Use a spreadsheet to numerically verify the result of Exercises 1-55. Minimizing cost. A...Problem 95E:
56-110. Use a spreadsheet to numerically verify the result of Exercises 1-55.
95. Minimizing cost....Problem 96E:
5 Use a spreadsheet to numerically verify the result of Exercises 1-55. Maximizing area. Bradley...Problem 97E:
5 Use a spreadsheet to numerically verify the result of Exercises 1-55. Minimizing inventory costs....Problem 98E:
56-110. Use a spreadsheet to numerically verify the result of Exercises 1-55.
98. Minimizing...Problem 99E:
56-110. Use a spreadsheet to numerically verify the result of Exercises 1-55.
99. Minimizing...Problem 100E:
5 Use a spreadsheet to numerically verify the result of Exercises 1-55. Minimizing inventory costs....Problem 101E:
5 Use a spreadsheet to numerically verify the result of Exercises 1-55. Minimizing inventory costs....Problem 102E:
5 Use a spreadsheet to numerically verify the result of Exercises 1-55. Minimizing inventory costs....Problem 104E:
56-110. Use a spreadsheet to numerically verify the result of Exercises 1-55.
104. Minimizing...Problem 105E:
56-110. Use a spreadsheet to numerically verify the result of Exercises 1-55.
For Exercises 23-28...Problem 107E:
5 Use a spreadsheet to numerically verify the result of Exercises 1-55. Maximizing volume. The...Problem 108E:
56-110. Use a spreadsheet to numerically verify the result of Exercises 1-55.
108. Minimizing cost....Problem 109E:
56-110. Use a spreadsheet to numerically verify the result of Exercises 1-55.
109. Maximizing...Problem 110E:
5 Use a spreadsheet to numerically verify the result of Exercises 1-55. Maximizing light. Repeat...Problem 111E:
For what positive number is the sum of its reciprocal and five times its square a minimum?Problem 112E:
For what positive number is the sum of its reciprocal and four times its square a minimum?Problem 114E:
A 24-in. piece of wire is cut in two pieces. One piece is used to form a circle and the other to...Problem 115E:
115. Business: minimizing costs. A power line is to be constructed from a power station at point A...Problem 116E:
Life science: flights of homing pigeons. It is known that homing pigeons tend to avoid flying over...Problem 117E:
117. A rectangular field is to be divided into two parallel rectangular areas, as shown in the...Problem 118E:
Business: minimizing distance. A road is to be built between two cities C1 and C2, which are on...Problem 119E:
Business: minimizing cost. The total cost, in dollars, of producing x units of a certain product is...Problem 121E:
121. Minimize q, where are positive numbers, such that.
Problem 122E:
122. Minimize, where.
Problem 123E:
Business: minimizing inventory costsa general solution. A store sells Q units of a product per year....Problem 124E:
124. Business: minimizing inventory costs. Use the general solution found in Exercise 123 to find...Problem 125E:
In Exercises 125–128, use a spreadsheet to maximize Q. Assume that all variables are positive, and...Problem 126E:
In Exercises 125–128, use a spreadsheet to maximize Q. Assume that all variables are positive, and...Browse All Chapters of This Textbook
Chapter R - Functions, Graphs, And ModelsChapter R.1 - Graphs And EquationsChapter R.2 - Functions And ModelsChapter R.3 - Finding Domain And RangeChapter R.4 - Slope And Linear FunctionsChapter R.5 - Nonlinear Functions And ModelsChapter R.6 - Mathematical Modeling And Curve FittingChapter 1 - DifferentiationChapter 1.1 - Limits: A Numerical And Graphical ApproachChapter 1.2 - Algebraic Limits And Continuity
Chapter 1.3 - Average Rates Of ChangeChapter 1.4 - Differentiation Using Limits Of Difference QuotientsChapter 1.5 - The Power And Sum–difference RulesChapter 1.6 - The Product And Quotient RulesChapter 1.7 - The Chain RuleChapter 1.8 - Higher-order DerivativesChapter 2 - Applications Of DifferentiationChapter 2.1 - Using First Derivatives To Classify Maximum And Minimum Values And Sketch GraphsChapter 2.2 - Using Second Derivatives To Classify Maximum And Minimum Values And Sketch GraphsChapter 2.3 - Graph Sketching: Asymptotes And Rational FunctionsChapter 2.4 - Using Derivatives To Find Absolute Maximum And Minimum ValuesChapter 2.5 - Maximum–minimum Problems; Business, Economics, And General ApplicationsChapter 2.6 - Marginals And DifferentialsChapter 2.7 - Elasticity Of DemandChapter 2.8 - Implicit Differentiation And Related RatesChapter 3 - Exponential And Logarithmic FunctionsChapter 3.1 - Exponential FunctionsChapter 3.2 - Logarithmic FunctionsChapter 3.3 - Applications: Uninhibited And Limited Growth ModelsChapter 3.4 - Applications: DecayChapter 3.5 - The Derivatives Of Ax And Log A X Logax; Application: AnnuitiesChapter 3.6 - A Business Application: AmortizationChapter 4 - IntegrationChapter 4.1 - AntidifferentiationChapter 4.2 - Antiderivatives As AreasChapter 4.3 - Area And Definite IntegralsChapter 4.4 - Properties Of Definite IntegralsChapter 4.5 - Integration Techniques: SubstitutionChapter 4.6 - Integration Techniques: Integration By PartsChapter 4.7 - Integration Techniques: TablesChapter 5 - Applications Of IntegrationChapter 5.1 - Consumer Surplus And Producer SurplusChapter 5.2 - Integrating Growth And Decay ModelsChapter 5.3 - Improper IntegralsChapter 5.4 - ProbabilityChapter 5.5 - Probability: Expected Value; The Normal DistributionChapter 5.6 - VolumeChapter 5.7 - Differential EquationsChapter 6 - Functions Of Several VariablesChapter 6.1 - Functions Of Several VariablesChapter 6.2 - Partial DerivativesChapter 6.3 - Maximum–minimum ProblemsChapter 6.4 - An Application: The Least-squares TechniqueChapter 6.5 - Constrained OptimizationChapter 6.6 - Double IntegralsChapter CR - Cumulative ReviewChapter A - Review Of Basic AlgebraChapter PSDT - Prerequisite Skills Diagnostic Test
Book Details
Anticipating and meeting student needs Calculus and Its Applications, Eleventh Edition, remains a best-selling text because of its accessible presentation that anticipates student needs. The writing style is ideal for today’s students, providing intuitive explanations that work with the carefully crafted artwork to help them visualize new calculus concepts. Additionally, the text’s numerous and up-to-date applications from business, economics, life sciences, and social sciences help motivate students. Algebra diagnostic and review material is available for those who need to strengthen basic skills. Every aspect of this revision is designed to motivate and help students to more readily understand and apply the mathematics.
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