Solutions for Student Solutions Manual for Calculus & Its Applications and Calculus & Its Applications, Brief Version
Problem 1CYU:
In the inventory problem of Example 2, suppose that the ordering cost is the same, but that it costs...Problem 2CYU:
In the inventory problem Example 2, Suppose that the sales of frozen orange juice increase ninefold;...Problem 1E:
Inventory Problem Figure 6 shows the inventory levels of dried Rainier cherries at a natural food...Problem 2E:
Refer to Fig. 6. Suppose that The ordering cost for each delivery of dried cherries is 50, and It...Problem 3E:
Inventory Control A pharmacist wants to establish an optimal inventory policy for a new antibiotic...Problem 4E:
Inventory Control A furniture store expects to sell 640 sofas at a steady rate next year The manager...Problem 5E:
Inventory Control A California distributor of sporting equipment expects to sell 10,000 cases of...Problem 6E:
Economic Lot Size The Great American Tire Co. expects to sell 600,000 tires of a particular size and...Problem 11E:
Area Starting with a 100-foot-long stone wall, a farmer would like to construct a rectangular...Problem 13E:
Length A rectangular corral of 54 square meters is to be fenced off and then divided by a fence into...Problem 14E:
Refer to Exercise 13. If the cost of the fencing for the boundary is 5 per meter and the dividing...Problem 15E:
Revenue Shakespeares Pizza sells 1000 large vegi pizzas per week for 18 a pizza. When the owner...Problem 17E:
Cost A storage shed is to be built in the shape of a box with a square base. It is to have a volume...Problem 18E:
Cost A supermarket is to be designed as a rectangular building with a floor area of 12,000 square...Problem 19E:
Volume A certain airline requires that rectangular packages carried on an airplane by passengers be...Problem 20E:
Area An athletic field [Fig.8] consists of a rectangular region with a semicircular region at each...Problem 21E:
Volume An open rectangular box is to be constructed by cutting square corners out of a 16- by...Problem 22E:
Volume A closed rectangular box is to be constructed with a base that is twice as long as it is...Problem 23E:
Amount of Oxygen in a Lake Let f(t) be the amount of oxygen (in suitable units) in a lake t days...Problem 25E:
Area Consider a parabolic arch whose shape may be represented by the graph of y=9x2, where the base...Problem 27E:
Surface Area An open rectangular box of volume 400 cubic inches has a square base and a partition...Problem 28E:
If f(x) is defined on the interval 0x5 and f(x) is negative for all x, for what value of x will f(x)...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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