#Improper integrals; Functions of two or three variables
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B.Sc Tuition In Noida For Calculus
B.Sc Tuition In Noida For Calculus
B.Sc Tuition In Noida For Calculus
Call CFA Academy For B.Sc Maths Tuition Classes In Noida For Finite, countable and uncountable sets, Real number system as a complete ordered field, Archimedean property; Sequences and series, convergence; Limits, continuity, uniform continuity, differentiability, mean value theorems; Riemann integration, Improper integrals; Functions of two or three variables,…
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#and Gauss divergence theorem.#Archimedean property; Sequences and series#B.Sc Tuition In Noida For Calculus#B.Sc Tuition In Noida For Calculus Call CFA Academy For B.Sc Maths Tuition Classes In Noida For Finite#continuity#convergence; Limits#countable and uncountable sets#differentiability#Directional derivatives#Green&039;s theorem#Improper integrals; Functions of two or three variables#Maxima and minima#mean value theorems; Riemann integration#method of Lagrange&039;s multipliers; Double and Triple integrals and their applications; Line integrals and Surface integrals#Partial Derivatives#Real number system as a complete ordered field#saddle point#Stokes&039; theorem#total derivative#uniform continuity
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Test Bank For Calculus: Early Transcendentals, 12th Edition By Howard Anton

TABLE OF CONTENTS PREFACE vii SUPPLEMENTS ix ACKNOWLEDGMENTS xi THE ROOTS OF CALCULUS xv 1 Limits and Continuity 1 1.1 Limits (An Intuitive Approach) 1 1.2 Computing Limits 13 1.3 Limits at Infinity; End Behavior of a Function 21 1.4 Limits (Discussed More Rigorously) 30 1.5 Continuity 39 1.6 Continuity of Trigonometric Functions 50 1.7 Inverse Trigonometric Functions 55 1.8 Exponential and Logarithmic Functions 62 2 The Derivative 77 2.1 Tangent Lines and Rates of Change 77 2.2 The Derivative Function 87 2.3 Introduction to Techniques of Differentiation 98 2.4 The Product and Quotient Rules 105 2.5 Derivatives of Trigonometric Functions 110 2.6 The Chain Rule 114 3 Topics in Differentiation 124 3.1 Implicit Differentiation 124 3.2 Derivatives of Logarithmic Functions 131 3.3 Derivatives of Exponential and Inverse Trigonometric Functions 136 3.4 Related Rates 142 3.5 Local Linear Approximation; Differentials 149 3.6 L’Hoˆ pital’s Rule; Indeterminate Forms 157 4 The Derivative in Graphing and Applications 169 4.1 Analysis of Functions I: Increase, Decrease, and Concavity 169 4.2 Analysis of Functions II: Relative Extrema; Graphing Polynomials 180 4.3 Analysis of Functions III: Rational Functions, Cusps, and Vertical Tangents 189 4.4 Absolute Maxima and Minima 200 4.5 Applied Maximum and Minimum Problems 208 4.6 Rectilinear Motion 222 4.7 Newton’s Method 230 4.8 Rolle’s Theorem; Mean-Value Theorem 235 5 Integration 249 5.1 An Overview of the Area Problem 249 5.2 The Indefinite Integral 254 5.3 Integration by Substitution 264 5.4 The Definition of Area as a Limit; Sigma Notation 271 5.5 The Definite Integral 281 5.6 The Fundamental Theorem of Calculus 290 5.7 Rectilinear Motion Revisited Using Integration 302 5.8 Average Value of a Function and its Applications 310 5.9 Evaluating Definite Integrals by Substitution 315 5.10 Logarithmic and Other Functions Defined by Integrals 320 6 Applications of the Definite Integral in Geometry, Science, and Engineering 336 6.1 Area Between Two Curves 336 6.2 Volumes by Slicing; Disks and Washers 344 6.3 Volumes by Cylindrical Shells 354 6.4 Length of a Plane Curve 360 6.5 Area of a Surface of Revolution 365 6.6 Work 370 6.7 Moments, Centers of Gravity, and Centroids 378 6.8 Fluid Pressure and Force 387 6.9 Hyperbolic Functions and Hanging Cables 392 7 Principles of Integral Evaluation 406 7.1 An Overview of Integration Methods 406 7.2 Integration by Parts 409 7.3 Integrating Trigonometric Functions 417 7.4 Trigonometric Substitutions 424 7.5 Integrating Rational Functions by Partial Fractions 430 7.6 Using Computer Algebra Systems and Tables of Integrals 437 7.7 Numerical Integration; Simpson’s Rule 446 7.8 Improper Integrals 458 8 Mathematical Modeling with Differential Equations 471 8.1 Modeling with Differential Equations 471 8.2 Separation of Variables 477 8.3 Slope Fields; Euler’s Method 488 8.4 First-Order Differential Equations and Applications 494 9 Infinite Series 504 9.1 Sequences 504 9.2 Monotone Sequences 513 9.3 Infinite Series 520 9.4 Convergence Tests 528 9.5 The Comparison, Ratio, and Root Tests 534 9.6 Alternating Series; Absolute and Conditional Convergence 539 9.7 Maclaurin and Taylor Polynomials 549 9.8 Maclaurin and Taylor Series; Power Series 559 9.9 Convergence of Taylor Series 567 9.10 Differentiating and Integrating Power Series; Modeling with Taylor Series 575 10 Parametric and Polar Curves; Conic Sections 588 10.1 Parametric Equations; Tangent Lines and Arc Length for Parametric Curves 588 10.2 Polar Coordinates 600 10.3 Tangent Lines, Arc Length, and Area for Polar Curves 613 10.4 Conic Sections 622 10.5 Rotation of Axes; Second-Degree Equations 639 10.6 Conic Sections in Polar Coordinates 644 11 Three-dimensional Space; Vector 11.1 Rectangular Coordinates in 3-Space; Spheres; Cylindrical Surfaces 657 11.2 Vectors 663 11.3 Dot Product; Projections 673 11.4 Cross Product 682 11.5 Parametric Equations of Lines 692 11.6 Planes in 3-Space 698 11.7 Quadric Surfaces 705 11.7 Cylindrical and Spherical Coordinates 715 12 Vector-Valued Functions 723 12.1 Introduction to Vector-Valued Functions 723 12.2 Calculus of Vector-Valued Functions 729 12.3 Change of Parameter; Arc Length 738 12.4 Unit Tangent, Normal, and Binormal Vectors 746 12.5 Curvature 751 12.6 Motion Along a Curve 759 12.7 Kepler’s Laws of Planetary Motion 771 13 Partial Derivatives 781 13.1 Functions of Two or More Variables 781 13.2 Limits and Continuity 791 13.3 Partial Derivatives 800 13.4 Differentiability, Differentials, and Local Linearity 812 13.5 The Chain Rule 820 13.6 Directional Derivatives and Gradients 830 13.7 Tangent Planes and Normal Vectors 840 13.8 Maxima and Minima of Functions of Two Variables 845 13.9 Lagrange Multipliers 856 14 Multiple Integrals 925 14.1 Double Integrals 925 14.2 Double Integrals Over Nonrectangular Regions 932 14.3 Double Integrals in Polar Coordinates 941 14.4 Surface Area; Parametric Surfaces 948 14.5 Triple Integrals 961 14.6 Triple Integrals in Cylindrical and Spherical Coordinates 968 14.7 Change of Variables in Multiple Integrals; Jacobians 977 14.8 Centers of Gravity Using Multiple Integrals 989 15 Topics in Vector Calculus 1001 15.1 Vector Fields 1001 15.2 Line Integrals 1010 15.3 Independence of Path; Conservative Vector Fields 1025 15.4 Green’s Theorem 1035 15.5 Surface Integrals 1042 15.6 Applications of Surface Integrals; Flux 1049 15.7 The Divergence Theorem 1058 15.8 Stokes’ Theorem 1067 APPENDIX A A1 APPENDIX B 00 APPENDIX C 00 APPENDIX D 00 APPENDIX E 00 ANSWERS 00 INDEX I1 Read the full article
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What is Logistics Management?
Logistics it is defined as the art and science of obtaining producing and distributing material and product in the proper place and improper quantities logistics management is the part of supply chain management that plans implements and controls the efficient effective forward and reverse flow and storage of goods services and related information between the points of origin and the points of consumption in order to meet customer’s requirements.
The difference between supply chain and logistics transforming raw material into products and getting it to customers is supply chain whereas movement of materials in the supply chain are logistics the seven hours of logistics.
The most popular concepts of logistics management are the concept of the seven ARS
It is concerned with getting the right product in the right quantity in the right condition at the right place at the right time to the right customer and at the right price.
Logistics functions following the areas of logistics management contribute to an integrated approach to logistics within supply chain management transportation. many modes of transportation play a role in the movement of goods through supply chains via air railroad water pipeline selecting the most efficient combination to improve the value created for customers warehousing.
When inventory is not on the move between locations it may have to spend some time in a warehouse warehousing is the activities related to receiving storing and shipping materials to and from production or distribution locations.
Third- and fourth-party logistics, third-party logistics providers perform or manage one or more logistics services fourth-party providers are logistics specialists and play the role of general contractor by taking over the entire logistics function for an organization reverse logistics is a way to handle the return reuse recycling or disposal of products that make the reverse journey from the customer to the supplier.
Logistics value proposition managers must be able to balance logistics costs against the appropriate level of customer service logistics are usually managed as an integrated effort to achieve customer satisfaction at the lowest total cost therefore service and cost minimization are two key elements in the logistics value proposition logistics goals and strategies logistics shares the goal of supply chain management to meet customer requirements.
There are a number of logistics goals the most experts agree on responding rapidly to changes in the market or customer orders minimize variances in logistics service minimize inventory to reduce costs consolidate product movement by grouping shipments maintain high quality and engage in continuous improvement and support the entire product lifecycle and the reverse logistics supply chain an effective logistics strategy depends on the following tactics coordinating functions that are transportation management integrating the supply chain substituting information for inventory reducing supply chain partners to the effective minimum number and pooling risks substituting information for inventory.
It is one of the tactics used to design an effective logistics strategy it requires taking a series of steps to construct the logistics network.
Step 1 locates in the right countries first identify all geographical locations and then analyze your forward and reverse chains to see if selecting different geographic locations could make the logistics function more efficient and effective.
Step 2 to develop an effective export-import strategy determine the volume of freight and units that are imports and exports and decide where to place inventory for strategic advantage.
Step 3 select warehouse locations determine the number of warehouses calculate optimally distance from markets and establish the most effective placement of warehouses around the world.
Step 4 select transportation modes and carriers determine the mix of transportation modes that will most efficiently connect supplier’s producer’s warehouses distributors and customers.
Step 5 select the right number of partners to select the minimum number of firms freight forwarders and third- or fourth-party logistics to manage forward and reverse logistics.
Step 6 develops state-of-the-art information systems it reduces inventory costs by accurately and rapidly tracking demand information and the location of goods substituting information for inventory.
It is another tactic used to design an effective logistics strategy physical inventory can be replaced by better information in the following ways improve communications talk with suppliers regularly and discuss plans with them collaborate with suppliers use continuous improvement tools and share observations about trends track inventory.
Precisely it could be done by using GPS and barcode systems to keep inventory in transit it reduces inventory costs for example cross-docking use postponement centers avoid filling warehouses with the wrong mix have finished goods by setting up postponement centers to delay product assembly until an actual order has been received mix shipments to match customer needs match deliveries more precisely to customer needs by mixing different Skousen the same pallet and by mixing pallets from different suppliers.
And don't wait in line at customs reduce the time spent in customs by clearing freight while still on the water or in the air reducing supply chain partners to an effective number the more partners there are in the chain the more difficult and expensive the chain is to manage to consider a supply chain of three excellence between factory and customers.
Two factory warehouses nine wholesale warehouses and 350 retail stores reducing the number of partners reduces operating costs cycle time and inventory holding costs, then consider reducing the logistic partners, look for an entire epsilon such as all the wholesale warehouses or factory warehouses.
But if you eliminate all partners as you would be back to the vertical integration strategy pooling risks when manufacturers and retailers experience high variability in demand for their products, they can pull together common inventory components associated with a broad family of products to buffer the overall burden of having to deploy inventory for each discrete product.
This is called pooling risks this reduces storage costs and risks of stock-outs by consolidating stock in centralized warehouses flow of goods and information these flows exist in each supply chain Enterprise must have an internal process integration and collaboration between functions as well as alignment and integration across the supply chain customer information flows through the enterprise via orders sales activity and forecasts value-added flow of goods begins as products and materials are procured for you.
#logistics#logisticsmanagement#logistics service provider#logistics services#Logistics and Supply Chain Management#logistics consultancy
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Software Development cost
Custom software development can be expensive because the development team is building the application from scratch. There’s nothing you can do about that. But there are a few things you can do to lower the costs of developing a custom software solution.
How much does software development cost?
Let’s get started with a simple question: How much does it actually cost to build custom solutions?
There’s only one answer to this question, and it’s:
It depends.
The cost of your app depends on many variables, such as project requirements, application features, your project’s size and complexity, and many others. We’re going to talk about these factors in detail later on.
Software estimation is often tricky, but to give you a general sense of the amounts we’re talking about, let’s focus on project complexity for a moment. Such projects can be divided into three categories in terms of their complexity:
Basic applications – they offer simple functionalities and can be built quite fast. Such an application will take the development team 500-700 hours and cost anything between $20,000 and $80,000. An example is a simple mobile application that has a well-defined and limited set of features.
Medium-complexity applications – such applications take approximately 700-1200 hours to build because they have more complicated features. Examples of such applications include a customer-facing server application or an enterprise app that offers web and mobile functionalities. In this case, software cost estimates will range from $80,000 to $150,000.
Complex applications – such applications take more than 1200+ hours to complete and often require developing a complex architecture and multiple integrations, or have a high security demand. Examples include data-driven apps, an enterprise software that features complex business logic, social media apps, or sophisticated reporting apps.
Why is software development expensive?
Note that the costs of building software originate not only from the team, but also the work of other professionals such as UX/UI designers, data analysts, QA analysts, and many others.
Expert tip: Quality Assurance (QA) services are key to every development process. By testing every component of your software solution, you’ll identify and fix any bugs or errors. The cost of testing will again depend on the complexity of your project. The earlier you find the bug in the process, the cheaper it will be to correct it – that’s why a good QA process matters!
Building software solutions is expensive because it takes many talented people to develop high-quality software. Custom software relies on careful planning, involves research, and is based on a constant back-and-forth between the team, the client, and the end-users for gathering valuable feedback.
This type of software is tailor-made to match the unique requirements, processes, workflows, and objectives of your company. That’s why the costs of developing software are so high.
What factors impact the cost of software development?
These factors have a huge impact on the price of building software, so keep them in mind when working on your idea for an app.
1. Who you hire for the job
Companies that want to develop custom software can choose from several options. In essence, your choice boils down to these three:
Building an in-house team,
Hiring freelance software developers,
Teaming up with a software development company (also known as outsourcing).
Here’s a short overview of each option in terms of its impact on the costs of creating custom solutions.
Freelance software developers
This option is the cheapest, but it comes with many drawbacks. Hiring freelance developers doesn’t guarantee the delivery of your solution on time or the final product quality. When choosing this option, you’re the one responsible for overseeing the development process – and that might be problematic if you need to focus on your business or have no experience in Project Management. Finally, freelance developers come with no assurance, so you might end up with a buggy software on your hands and invest even more money into fixing it.
In-house development team
Building an internal team of software developers is a good option if you’re planning to develop a long-term project and have the resources to do that. The good thing about having an in-house team is the control over its work and the quality delivered at all the development stages. But hiring full-time developers is time-consuming and expensive. You’ll have to invest in their salaries (and let’s face it, skilled software engineers expect high salaries), but also in overhead costs such as software licenses, hardware, taxes, holiday and sick leaves, etc. Hiring an in-house team is the most expensive option.
Outsourcing software development
Companies that choose to team up with specialized software development agencies enjoy many benefits. They get access to skilled and experienced engineers who know how to collaborate efficiently and have processes in place that guarantee successful and productive development.
They have domain knowledge and know-how to help you build the best possible solution. At the same time, they know the ins and outs of software development to provide you with helpful advice about technology choices, product development, and beyond. This option offers similar quality guarantees to the in-house team without forcing you to experience the costs of hiring staff full-time.
2. The level of seniority your project requires
The cost of hiring software developers can vary according to their level of knowledge and expertise. You can divide developers by their level of seniority into junior, mid-level, and senior.
Junior developers have just started their journey and still require support from their more experienced colleagues. By working in a team of skilled developers, they get to learn a lot – but can only contribute simple tasks.
Mid-level developers have a few years of work on their back and can work on a project independently. They know how to deal with complex technical problems.
Senior developers can provide your project with the best skills and expertise. They know how to write bug-free code, develop the best architecture for your solution, and balance between the technical and business goals of your project. Moreover, they can explain in a high-level manner the advantages and drawbacks of different technologies, frameworks, and solutions to help you understand their reasoning behind building your application.
If our project requires more complicated functionalities, you’ll need to hire more qualified developers – and the software development hourly rates will rise together with the engineer’s level.
3. Where you hire
The rates of software development professionals vary a lot between different regions of the world. That’s why the location where you’re hiring software developers will have an impact on the final price of your project.
For example, the development services in the US, UK, and Australia are usually very expensive. That’s why companies that want to balance cost and quality look to Central and East European countries that can provide qualified services at local rates.
What causes software development projects to overrun?
Before we move on to our tips and tricks for reducing the costs of software development, let’s take a quick look at the most common reasons why such projects end up exceeding their budgets:
Lack of proper planning – this step is key in estimating software costs. To be accurate, you need to know the requirements and all the tasks needed to complete the project within the specified costs. Planning is a critical step in resource allocation and management.
Frequent changes (pivots) and scope creep – discuss the project’s scope in detail, or risk that the project fails. Development teams may have certain assumptions about what you’re looking to build, so it’s your job to clarify the scope of your project as early as possible.
Lacking communication – this issue can develop in two directions: over-communicating and micro-management or under-communicating. Clear communication is a must for a successful software project.
Underestimating the role of testing – some companies forget that testing is a key phase that happens prior to the actual work, while the code is in production. If you don’t test your product then, you risk releasing a buggy piece of software (and then overrun your budget when trying to fix your mistake!).
How to reduce software development costs
1. Outsource software development
Outsourcing software development to professional agencies comes at a high initial cost, but you’ll get plenty of cost savings throughout the projects. Since you’re not hiring developers, you get to avoid paying in-house salaries, taxes, perks and benefits, workspace, software and hardware, and many other overhead costs.
Software outsourcing allows tapping into the talent of teams located all over the world. Working with a company located in another country or continent might seem challenging, but experienced providers have processes in place that streamline communication and allow fruitful remote collaboration.
2. Identify and document project requirements
The best way to keep your project within its budget is by avoiding ambiguity in the description of your project already at level of the software estimate. Establish your project requirements and create a document that you will use every time you approach software developers to ask them for a quote.
You don’t need to have it all figured out right from the start. But write down the most important things and, while doing that, aim for clarity.
If your descriptions is ambiguous, the requirements might get misinterpreted and you’ll face problems such as improper functionality, poor design, and low business value. A thorough and well-defined project specification will set the team on the right track, reduce the overall cost of software development, and save your precious time to focus on growing your business.
3. Prioritize features
Be realistic right from the start and prioritize your application features, even if it means compromising your vision. Be aware that a complete software solution might not be possible to realize right away. Don’t give up on your dream, just be smart about prioritizing the functionalities your app needs to drive business value as soon as possible – and create an accurate software project estimation.
Remove nice-to-have elements from the scope of your project and add them to your backlog. You can return to them once the must-haves are completed, implemented, and – ideally – are already turning a profit. Starting with a Minimum Viable Product (MVP) is how companies build successful products today.
4. Plan with the future in mind
Many companies forget that the costs of building software extend beyond the development and release phase. A completed application still generates expenses – be it in maintenance or future growth.
The application you’re developing today will look different in the future. A customer might ask you for modifications or new functionalities. Your target market might evolve in a completely new direction, forcing you to revamp your product.
A custom software development project should take future changes into account. The development team needs to have a rough idea of the kind of modifications that may be expected in the future. That way, developers build the app to simplify the implementation of alterations and reduces the cost of building software in the future.
5. Involve a QA team early on
It pays off to start testing early in the software development life cycle. That’s because errors or bugs can accumulate already during the requirement or design phase. If you fail to catch them at this stage, they will disseminate throughout the entire project.
Have a QA team be part of your project right from the start to identify problems prior to the development phase. You’ll avoid building software of low quality, but also save up on the costs of a redesign in the middle of your project. Also, bugs require rework in later phases, which can become very costly.
6. Follow the agile methodologies
The agile approach to building software keeps the process lean and facilitates the close cooperation of the stakeholders at all the stages of software development. Every iteration ends with gathering feedback from clients or end-users. The development team then uses it to improve the product. That way, all the changes are made during the process, and the risk for rework is practically reduced to zero.
7. Hire a proactive team (inhouse or outsourced)
You need a team that will challenge and advise you during the process. Sometimes smart technical decisions at the planning stage can reduce costs significantly while providing the same business value. A scoping session usually helps our development team to prepare such a plan.
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Top 10 Best Portable Car Jump Starters
Getting into your car and finding out the battery’s dead can really throw a wrench in your day. If you believe jumper cables are the only solution to that problem, think again. Portable jump starters will get your car going without needing another vehicle for a jump, making them a lot more convenient to use than jumper cables.
Top 10 Best Jumper Cables
Becoming more popular in recent years, there is now a wide variety of portable jump starters available in the market. If you’ve been shopping for one, you’ve likely realized there are plenty of different features to look for. In this article, we’ve rounded up the 10 best portable jump starters money can buy so you can add this valuable tool to your car emergency kit.
Updated 11/8/2019 with new products.
Table of contents READ MORE How to Jump Start a Dead Car Battery
1. Editor's Pick: NOCO Genius UltraSafe Lithium Jump Starter noco genius boost pro gb150
This powerful lithium jump starter is rated at 4,000 amps and offers up to 80 jump starts on a single charge. Featuring spark-proof technology and reverse polarity protection, this portable jump starter is safe and easy to use. A nice added feature of this jump starter is a 500-lumen built-in LED flashlight that boasts seven light modes: low, medium, high, flashing, strobe, and emergency SOS. This integrated light can run continuously for up to 6 hours.
Another reason why this is our Editor’s Pick is that you can get use out of this portable jump starter on a daily basis. It’s capable of recharging all your USB devices and can also power 12-volt devices such as a tire compressor, inverters, and more.
With the amount of power it has to offer, this jump starter can be used on gasoline and diesel engines up to 10 liters and more. That includes cars, boats, trucks, diesel pickups, and even tractors.
Each package includes the portable jump starter, HD battery clamps, a USB charging cable, XGC male plug, XGC female plug, XGC cable, microfiber storage bag, and a 1-year limited warranty.
Pros/Offers up to 80 jump starts, fantastic amperage and reliability for many vehicles, built-in LED flashlight, many auto professionals consider this the best portable jump starter Cons/Some owners not questionable charging time and warranty support SHOP NOW 2. Best Features: DBPOWER 600A Peak Portable Car Jump Starter dpower portable car jump starter
If you’re looking for something compact that will fit comfortably in your glove box, take a look at the DBPOWER Portable Car Jump Starter. Capable of jump starting vehicles with up to 6.5-liter gasoline engines or 5.2-liter diesel engines with 600 amps of peak current, this starter features dual USB outputs and a DC output. With 18000mAh battery capacity, this portable jump starter can also serve as a battery bank for all your portable devices.
Incorporated into this device is an LED flashlight that can be switched between lighting, strobe, and SOS modes. There is also a red emergency light if necessary. On the side with all the ports, there’s a small LCD display that will show the working status of the jumper. There’s even a built-in compass in case you ever need one.
When it comes to actually jump starting your car, this product comes with all-metal spray gold clamps that are more solid and durable than standard clamps. Safety features baked into this starter include short circuit protection, over-temperature protection, reverse-polarity protection, reverse-charge protection, over-charge protection, over-discharge protection, over-current protection, over-voltage protection, low-voltage protection, and a built-in protection circuit.
This product offers up to 20 jump starts on a single charge.
Pros/LCD screen with digital compass, fantastic build quality, sturdy frame, reliable, easy-to-use product, 3-year warranty Cons/Some complaints that it's not effective on heavy-duty vehicles, battery loses efficiency over time SHOP NOW 3. Most Premium Power Bank: Beatit 18000mAh Portable Car Jump Starter (BT-D11) beatit portable car jump starter
Rated at 800 amps, the Beatit BT-D11 Portable Car Jump Starter is designed for cars, trucks, boats, motorcycles, and more with gasoline engines up to 7.5 liter in size, and diesel engines up to 5.5 liters. Housed in a compact body, it also can serve as an 18000mAh battery bank for your portable devices with dual 2.1A USB outputs. Also incorporated on this starter is a 100-lumen LED flashlight with emergency strobe and SOS modes.
This product has been tested to work in extreme temperatures, from -20°C to 60°C. There is also a multi-function LCD display with the user interface, charge status, battery power, operating mode, and voltage so you can easily view everything that’s going on with the charger. The included jumper cables have spark-proof technology and reverse polarity protection design, allowing you to safely connect this device to any battery.
Beatit offers a 2-year limited warranty with this starter, along with with lifetime customer service.
Pros/Twin 2.1A USB charging ports, alligator clamps, built-led LED lights to indicate power, emergency flashlight, 2-year warranty Cons/Complaints about poor instruction manual, battery drains quicker when charging auxiliary devices SHOP NOW READ MORE Top 7 Best Trickle Chargers for Your Car’s Battery
4. Best for Large Vehicles: STANLEY Jump Starter (J5C09) stanley power station jump starter
While it’s not as portable as the other jump starters we’ve look at so far on the list, the STANLEY Power Station Jump Starter offers 1000 peak, 500 instant amps along with a built-in 120 PSI air compressor. This is more of a heavy-duty jump starter geared towards truck owners with larger engines under the hood. What it does share in common with the other portable jump starters is that it features a USB output and as 12-volt DC outlet so you can charge other devices with it. There is also a built-in LED light that swivels 270 degrees, allowing you to adjust it accordingly.
It can also serve as an emergency air compressor with a brass-tipped SureFit nozzle for secure connections. For additional safety, this jumper has a reverse-polarity alarm that will alert the user if there’s an improper connection. It’s extremely easy to use—simply attach the clamps to the battery, turn on the switch, and start your vehicle.
Just keep in mind this is a larger jump starter, tipping the scale at nearly 18 pounds while measuring 11.2″ by 8″ by 13.5″.
Pros/Multi-purpose and easy-to-use device, bright LED light, built-in USB port, reverse polarity alarm, can also be used as an air compressor Cons/Complaints about battery's longevity, warranty, and unreliable compressor performance SHOP NOW 5. Rugged Geek RG1000 INTELLIBOOST Portable Jump Starter rugged geek rg1000 intelliboost portable jump starter
Updated for 2019 is Rugged Geek’s second-generation RG1000 portable jump starter. Capable of starting most vehicles with gasoline engines up to 7.0L in size and diesel engines up to 3.5L, this is a powerful 39Wh battery that can boost an average vehicle over 20 times on a single charge. It features INTELLIBOOST technology, which takes the risk and fear out of jump starting your car by ensuring power only flows when it’s safe.
The Rugged Geek RG1000 can also serve as a portable battery pack for your mobile devices with 2 USB ports and a variable output laptop charging port. Measuring 6.3″ long by 2.9″ and 1.3″ thick, the RG1000 tips the scales at under 1 pound, making it extremely lightweight and portable.
Other features on this portable charger include an LED flashlight with over 100 lumens of brightness, easy-to-read LCD display, and tire tread design. It’s available in three variants, one that includes a carrying case and another that includes a portable air compressor. The standard model includes a micro USB cable, INTELLIBOOST cables, soft carrying pouch, and an instruction manual.
Pros/Powerful, lightweight, 39Wh battery, INTELLIBOOST technology, compact, lightweight, includes LED flashlight, LCD display Cons/Price, included battery clamps aren't high quality SHOP NOW 6. Clore Automotive Jump-N-Carry Jump Starter (JNC660) clore automotive jump-n-carry jump starter
Another more traditional portable jumper is the Clore Automotive Jump-N-Carry Starter. Offering 425 cranking amps and 1,700 peak amps, this portable starter features PROFORMER battery technology, which is designed to provide extremely high power output, extended cranking power, and a long service life. Included with this charger are 46-inch, heavy-duty #2 AWG copper insulated cables with industrial grade Hot Jaw clamps.
While it’s not as modern as other jump starters on this list with no USB outlets, this product does have a 12-volt power output to power a variety of accessories. There is also a voltmeter on the front so you can check the status of the battery inside the starter.
This jump starter is ideal for vehicle owners who need something more durable. It’s housed in a heavy duty case that is impervious to shop fluids and is designed to withstand the rigors of everyday professional use. There is also a nice handle, making it easy to carry around.
Pros/One of the best-designed jump starters, replaceable battery, carrying handle, reliable Cons/Extremely limited warranty, battery wears quickly with extensive use SHOP NOW 7. Schumacher Portable Jump Starter (XP2260) schumacher instant portable power source and jump starter
Another portable jump starter that offers a built-in air compressor comes from Schumacher. This unit also incorporates a 400-watt power inverter for two 120V AC household outlets, as well as two 12-volt accessory outlets and a single USB port. Powered by a maintenance-free, sealed lead acid battery, this charger can be safely stored in any position.
It offers 185 cold crank amps and 1,200 peak amps, along with Sure-Grip clamps that will fit both top and side mount batteries. There’s a digital display on the front of the starter along with a built-in work light.
With plenty of additional features and outlets, this is a great portable jump starter if you often go camping or even off-roading. Its primary purpose may be to jump start a dead battery, but it’s much more useful than just that, especially with the built-in 150 PSI
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Test bank for Calculus Early Transcendentals 2nd Edition by William L Briggs
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Product Descriptions
This much anticipated second edition of the most successful new calculus text published in the last two decades retains the best of the first edition while introducing important advances and refinements. Authors Briggs, Cochran, and Gillett build from a foundation of meticulously crafted exercise sets, then draw students into the narrative through writing that reflects the voice of the instructor, examples that are stepped out and thoughtfully annotated, and figures that are designed to teach rather than simply supplement the narrative. The authors appeal to students geometric intuition to introduce fundamental concepts, laying a foundation for the development that follows
Test bank for Calculus Early Transcendentals 2nd Edition by William L Briggs
Table of Content:
1. Functions
1.1 Review of functions
1.2 Representing functions
1.3 Inverse, exponential, and logarithmic functions
1.4 Trigonometric functions and their inverses
2. Limits
2.1 The idea of limits
2.2 Definitions of limits
2.3 Techniques for computing limits
2.4 Infinite limits
2.5 Limits at infinity
2.6 Continuity
2.7 Precise definitions of limits
3. Derivatives
3.1 Introducing the derivative
3.2 Working with derivatives
3.3 Rules of differentiation
3.4 The product and quotient rules
3.5 Derivatives of trigonometric functions
3.6 Derivatives as rates of change
3.7 The Chain Rule
3.8 Implicit differentiation
3.9 Derivatives of logarithmic and exponential functions
3.10 Derivatives of inverse trigonometric functions
3.11 Related rates
4. Applications of the Derivative
4.1 Maxima and minima
4.2 What derivatives tell us
4.3 Graphing functions
4.4 Optimization problems
4.5 Linear approximation and differentials
4.6 Mean Value Theorem
4.7 L’Hôpital’s Rule
4.8 Newton’s Method
4.9 Antiderivatives
5. Integration
5.1 Approximating areas under curves
5.2 Definite integrals
5.3 Fundamental Theorem of Calculus
5.4 Working with integrals
5.5 Substitution rule
6. Applications of Integration
6.1 Velocity and net change
6.2 Regions between curves
6.3 Volume by slicing
6.4 Volume by shells
6.5 Length of curves
6.6 Surface area
6.7 Physical applications
6.8 Logarithmic and exponential functions revisited
6.9 Exponential models
6.10 Hyperbolic functions
7. Integration Techniques
7.1 Basic approaches
7.2 Integration by parts
7.3 Trigonometric integrals
7.4 Trigonometric substitutions
7.5 Partial fractions
7.6 Other integration strategies
7.7 Numerical integration
7.8 Improper integrals
7.9 Introduction to differential equations
8. Sequences and Infinite Series
8.1 An overview
8.2 Sequences
8.3 Infinite series
8.4 The Divergence and Integral Tests
8.5 The Ratio, Root, and Comparison Tests
8.6 Alternating series
9. Power Series
9.1 Approximating functions with polynomials
9.2 Properties of Power series
9.3 Taylor series
9.4 Working with Taylor series
10. Parametric and Polar Curves
10.1 Parametric equations
10.2 Polar coordinates
10.3 Calculus in polar coordinates
10.4 Conic sections
11. Vectors and Vector-Valued Functions
11.1 Vectors in the plane
11.2 Vectors in three dimensions
11.3 Dot products
11.4 Cross products
11.5 Lines and curves in space
11.6 Calculus of vector-valued functions
11.7 Motion in space
11.8 Length of curves
11.9 Curvature and normal vectors
12. Functions of Several Variables
12.1 Planes and surfaces
12.2 Graphs and level curves
12.3 Limits and continuity
12.4 Partial derivatives
12.5 The Chain Rule
12.6 Directional derivatives and the gradient
12.7 Tangent planes and linear approximation
12.8 Maximum/minimum problems
12.9 Lagrange multipliers
13. Multiple Integration
13.1 Double integrals over rectangular regions
13.2 Double integrals over general regions
13.3 Double integrals in polar coordinates
13.4 Triple integrals
13.5 Triple integrals in cylindrical and spherical coordinates
13.6 Integrals for mass calculations
13.7 Change of variables in multiple integrals
14. Vector Calculus
14.1 Vector fields
14.2 Line integrals
14.3 Conservative vector fields
14.4 Green’s theorem
14.5 Divergence and curl
14.6 Surface integrals
14.6 Stokes’ theorem
14.8 Divergence theorem
Product Details:
Language: English
ISBN-10: 0321947347
ISBN-13: 978-0321947345
ISBN-13: 9780321947345
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Instant Download Test Bank For Applied Calculus Brief 6th Edition by Geoffrey C. Berresford and Andrew M. Rockett
Product Description
This text uses intriguing real-world applications to engage readers' interest and show them the practical side of calculus. The book's many applications are related to finance, business, and such general-interest topics as learning curves in airplane production, the age of the Dead Sea Scrolls, Apple and Oracle stock prices, the distance traveled by sports cars, lives saved by seat belts, and the cost of a congressional victory. The Sixth Edition maintains the hallmark features that have made APPLIED CALCULUS, BRIEF so popular: contemporary and interesting applications; careful and effective use of technology, including graphing calculator and spreadsheet coverage; constant pedagogical reinforcement through section summaries, chapter summaries, annotated examples, and extra practice problems; Just-in-Time algebra review material; and a variety of exercises that allow readers to practice and hone their problem-solving skills.
Test Bank For Aapplied Calculus Brief 6th Edition by Berresford and Rockett
Download FREE Sample : http://testbankcollection.com/wp-content/uploads/2017/09/Test-Bank-For-Applied-Calculus-Brief-6th-Edition-by-Berresford-and-Rockett.pdf
Table of Contents
Chapter 1: Functions 1.1: Real Numbers, Inequalities, and Lines (36) 1.2: Exponents (44) 1.3: Functions: Linear and Quadratic (42) 1.4: Functions: Polynomial, Rational, and Exponential (38) Review Exercises
Chapter 2: Derivatives and Their Uses 2.1: Limits and Continuity (36) 2.2: Rates of Change, Slopes, and Derivatives (28) 2.3: Some Differentiation Formulas (30) 2.4: The Product and Quotient Rules (34) 2.5: Higher-Order Derivatives (26) 2.6: The Chain Rule and the Generalized Power Rule (38) 2.7: Nondifferentiable Functions (10) Review Exercises
Chapter 3: Further Applications of Derivatives 3.1: Graphing Using the First Derivative (35) 3.2: Graphing Using the First and Second Derivatives (37) 3.3: Optimization (30) 3.4: Further Applications of Optimization (15) 3.5: Optimizing Lot Size and Harvest Size (17) 3.6: Implicit Differentiation and Related Rates (43) Review Exercises
Chapter 4: Exponential and Logarithmic Functions 4.1: Exponential Functions (30) 4.2: Logarithmic Functions (32) 4.3: Differentiation of Logarithmic and Exponential Functions (51) 4.4: Two Applications to Economics: Relative Rates and Elasticity of Demand (27) Review Exercises
Chapter 5: Integrations and Its Applications 5.1: Antiderivatives and Indefinite Integrals (36) 5.2: Integration Using Logarithmic and Exponential Functions (32) 5.3: Definite Integrals and Areas (51) 5.4: Further Applications of Definite Integrals: Average Value and Area Between Curves (45) 5.5: Two Applications to Economics: Consumers' Surplus and Income Distribution (19) 5.6: Integration by Substitution (40) Review Exercises
Chapter 6: Integration Techniques and Differential Equations 6.1: Integration by Parts (39) 6.2: Integration Using Tables (41) 6.3: Improper Integrals (36) 6.4: Numerical Integration (24) 6.5: Differential Equations (37) 6.6: Further Applications of Differential Equations: Three Models of Growth (30) Review Exercises
Chapter 7: Calculus of Several Variables 7.1: Functions of Several Variables (24) 7.2: Partial Derivatives (34) 7.3: Optimizing Functions of Several Variables (26) 7.4: Least Squares (23) 7.5: Lagrange Multipliers and Constrained Optimization (26) 7.6: Total Differentials and Approximate Changes (24) 7.7: Multiple Integrals (31) Review Exercises
Product details
Language: English ISBN-10: 1133103928 ISBN-13: 978-1133103929
ISBN-13: 9781133103929
Link download full: https://vi.scribd.com/document/358787285/Test-Bank-for-Applied-Calculus-Brief-6th-Edition-by-Berresford-and-Rockett
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PHIL 447N Final Exam MCQs
Click Link Below To Buy:
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Question 1.1. (TCO 1) "Thinking about thinking" is the definition of what? (Points : 4)
Development of arguments Measure of good sense Development of critical skills Writing for clarity Critical thinking
Question 2.2. (TCO 1, 2, 4) In Chapter 1, we learned the definition of the term issue. The principle concern when handling an issue is whether or not (Points : 4)
a given claim is true or not. a claim attaches to the conclusion or not. the majority has a position on the debate. key experts have a position on the debate.
Question 3.3. (TCOs 1, 2, 3) In Chapter 1, we learned the definition of the term argument. The purpose of an argument is to (Points : 4)
explain complex ideas. win adherents to a position. refute the positions of other people. support or prove conclusions.
Question 4.4. (TCOs 2, 3) In Chapter 2, we learned the meaning of inductive arguments. The support that the premises provide for the conclusion of an inductive argument is best described in terms of (Points : 4)
valid or invalid. sound or unsound. provable or unprovable. strong or weak.
Question 5.5. (TCO 1, 2) In Chapter 2, we learned the meaning of the three modes of persuasion, as defined by Aristotle. Logos refers to arguments based on (Points : 4)
ethics and moral character. experiment and observations. passions and emotions. logic and reasoning.
Question 6.6. (TCO 6) In Chapter 2, we learned how to analyze arguments. The first step in trying to understand arguments is to find the(Points : 4)
nonargumentative materials attached to it . elements of confusion. conclusion or thesis of the passage. intentions of the author.
Question 7.7. (TCOs 6, 7, 8, 9) In Chapter 3, we learned about the key elements of an argumentative essay. An author of a good argumentative essay should do all of the following, EXCEPT (Points : 4)
discredit the integrity of the opponents. rebut the arguments that support contrary positions. state his/her position on the issue. e. provide arguments that support his/her position on the issue.
Question 8.8. (TCOs 6, 8, 9) In Chapter 3, we learned the meaning of ambiguity and the difference between semantic and syntactic ambiguous claims. Consider the following example: “Students at DeVry enroll in thousands of courses every semester.” In this statement, the ambiguity used is (Points : 4)
syntactic; confusion caused by misplaced modifiers. syntactic; confusion caused by improper punctuation. semantic; confusion caused by the meaning of semester. semantic; confusion caused by groups with individuals in the group.
Question 9.9. (TCOs 2, 6, 7, 8) In Chapter 4, we learned how to assess the credibility of claims. A disinterested party who makes a claim is one who (Points : 4)
has no stake in our believing one way or another. brings weaker information to the discussion. lacks expertise in the content of given claims. brings irrelevant considerations to discussion.
Question 10.10. (TCOs 1, 6, 7, 9) In Chapter 5, we learned that it is important to recognize when a rhetorical slanting device is being used to influence our attitudes and beliefs. The purpose of the rhetorical device called a dysphemism is to replace a term with a(n) _____ meaning with one that has a(n) _____ meaning. (Points : 4)
inappropriate; appropriate vague; precise ambiguous; clearer positive or neutral; negative
Question 11.11. (TCOs 1, 7) In Chapter 5, we learned that it is important to recognize when a rhetorical slanting device is being used to influence our attitudes and beliefs. The purpose of the rhetorical device called a proof surrogate is to suggest a claim’s truth based on (Points : 4)
common knowledge. biased opinion. promise of evidence without providing any support. promise to nurture a claim following through on the promise.
Question 12.12. (TCOs 1, 2) In Chapter 6, we learned that it is important to recognize when a fallacy of relevance is being used to influence our attitudes and beliefs. A personal ad hominem fallacy is an attack on (Points : 4)
arguments. facts. opinions. the character of the person making the argument.
Question 13.13. (TCOs 6, 7, 8) In Chapter 6, we learned that which party is responsible for the burden of proof depends upon a number of factors. All things being equal, the burden of proof falls automatically on the party taking the (Points : 4)
affirmative side of the issue. negative side of the issue. position neither for or against. both sides of the issue.
Question 14.14. (TCOs 1, 2) In Chapter 11, we learned how to evaluate arguments from analogy. The best way to demonstrate the weakness of an argument form analogy is to show that the analogues are (Points : 4)
more similar than stated or implied. less similar than stated or implied. found in the premises but not in the conclusion. found in the conclusion but not in the premises.
Question 15.15. (TCOs 3, 4) In Chapter 9, we learned the basics of categorical logic. Each standard-form of categorical logic has its own graphic illustration known by what name? (Points : 4)
Overlapping regions Block of exclusion Johari window Venn diagram
Question 16.16. (TCOs 3, 4, 8, 9) In Chapter 9, we learned the basics of Categorical Logic. Two claims can be equivalent, if and only if, under the same circumstances (Points : 4)
Both would be true Both would be false One would be true and the other false Their truth values would have no relationship
Question 17.17. (TCOs 2, 3, 4) In Chapter 9, we learned that the square of opposition is a graphic illustration of the relationship between the four standard-form categorical claims. In the square of opposition, the sub contrary claims are those where (Points : 4)
both of the claims cannot be true. both of the claims cannot be false. the two claims have the opposite truth value. the two claims have unrelated truth values.
Question 18.18. (TCOs 2, 3, 4) In Chapter 9, we learned the basics of categorical logic, including three categorical relations: conversion, contraposition, and obversion. Contraposition involves replacing the standard terms with _____ terms. (Points : 4)
positive negative contrary complementary
Question 19.19. (TCOs 2, 5) In Chapter 11, we learned how to evaluate inductive generalizations based on samples. The purpose of studying samples is to generalize from (Points : 4)
one sample to another in the sample population. one sample to another in a different population. all samples in and out of the population. a sample to the whole population from which the sample is taken.
Question 20.20. (TCOs 2, 5) In Chapter 11, we learned how to evaluate inductive generalizations based on samples. The range of variation from one sample to another is known as (Points : 4)
sample deviance. sample difference. variation margin. error margin.
Question 21.21. (TCOs 1, 5, 8, 9) In Chapter 7, we learned how to recognize fallacies of induction. The fallacy of hasty generalization results from a sample that is not _____ to represent the population. (Points : 4)
properly selected large enough gathered with enough patience gathered with a specific purpose in mind
Question 22.22. (TCOs 1, 2, 3) In Chapter 11, we learned about the meaning and function of three principles of causal hypotheses. The common variable principle states a variable related to multiple occurrences may be (Points : 4)
excluded as a possible causal explanation. considered as part of a group of possible explanations. included as the causal explanation. considered a possible effect of another causal explanation.
Question 23.23. (TCOs 2, 6) In Chapter 12, we learned the difference between religious relativism and religious absolutism. The guiding principle of religious relativism is the theory that what is right and wrong is based on the beliefs of (Points : 4)
the particular religious affiliations of your culture. the one and only correct religion, regardless of your culture. those who have studied the sacred texts of their religion. those who have critically evaluated the beliefs of their religion.
Question 24.24. (TCOs 2, 6) In Chapter 12, we learned the difference between moral relativism and moral absolutism. According to moral relativism, the idea of right or wrong is based on (Points : 4)
objective moral principles. individual preferences. the beliefs of one's group or culture. whatever promotes our own self-interests.
Question 25.25. (TCOs 1, 6) In Chapter 12, we learned about the consistency principle, which states in part that, “If separate cases are not different in any relevant way, then they should be treated (Points : 4)
different in all cases.” different in most cases.” the same in most cases.” the same in all cases.”
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Test bank for Calculus Early Transcendentals 2nd Edition by William L Briggs
This is completed downloadable of Test bank for Calculus Early Transcendentals 2nd Edition by William L. Briggs
Instant download Test bank for Calculus Early Transcendentals 2nd Edition by William L. Briggs
View sample:
http://testbankair.com/wp-content/uploads/2018/07/Test-bank-for-Calculus-Early-Transcendentals-2nd-Edition-by-William-L.-Briggs.pdf
Product Descriptions
This much anticipated second edition of the most successful new calculus text published in the last two decades retains the best of the first edition while introducing important advances and refinements. Authors Briggs, Cochran, and Gillett build from a foundation of meticulously crafted exercise sets, then draw students into the narrative through writing that reflects the voice of the instructor, examples that are stepped out and thoughtfully annotated, and figures that are designed to teach rather than simply supplement the narrative. The authors appeal to students geometric intuition to introduce fundamental concepts, laying a foundation for the development that follows
Test bank for Calculus Early Transcendentals 2nd Edition by William L Briggs
Table of Content:
1. Functions
1.1 Review of functions
1.2 Representing functions
1.3 Inverse, exponential, and logarithmic functions
1.4 Trigonometric functions and their inverses
2. Limits
2.1 The idea of limits
2.2 Definitions of limits
2.3 Techniques for computing limits
2.4 Infinite limits
2.5 Limits at infinity
2.6 Continuity
2.7 Precise definitions of limits
3. Derivatives
3.1 Introducing the derivative
3.2 Working with derivatives
3.3 Rules of differentiation
3.4 The product and quotient rules
3.5 Derivatives of trigonometric functions
3.6 Derivatives as rates of change
3.7 The Chain Rule
3.8 Implicit differentiation
3.9 Derivatives of logarithmic and exponential functions
3.10 Derivatives of inverse trigonometric functions
3.11 Related rates
4. Applications of the Derivative
4.1 Maxima and minima
4.2 What derivatives tell us
4.3 Graphing functions
4.4 Optimization problems
4.5 Linear approximation and differentials
4.6 Mean Value Theorem
4.7 L’Hôpital’s Rule
4.8 Newton’s Method
4.9 Antiderivatives
5. Integration
5.1 Approximating areas under curves
5.2 Definite integrals
5.3 Fundamental Theorem of Calculus
5.4 Working with integrals
5.5 Substitution rule
6. Applications of Integration
6.1 Velocity and net change
6.2 Regions between curves
6.3 Volume by slicing
6.4 Volume by shells
6.5 Length of curves
6.6 Surface area
6.7 Physical applications
6.8 Logarithmic and exponential functions revisited
6.9 Exponential models
6.10 Hyperbolic functions
7. Integration Techniques
7.1 Basic approaches
7.2 Integration by parts
7.3 Trigonometric integrals
7.4 Trigonometric substitutions
7.5 Partial fractions
7.6 Other integration strategies
7.7 Numerical integration
7.8 Improper integrals
7.9 Introduction to differential equations
8. Sequences and Infinite Series
8.1 An overview
8.2 Sequences
8.3 Infinite series
8.4 The Divergence and Integral Tests
8.5 The Ratio, Root, and Comparison Tests
8.6 Alternating series
9. Power Series
9.1 Approximating functions with polynomials
9.2 Properties of Power series
9.3 Taylor series
9.4 Working with Taylor series
10. Parametric and Polar Curves
10.1 Parametric equations
10.2 Polar coordinates
10.3 Calculus in polar coordinates
10.4 Conic sections
11. Vectors and Vector-Valued Functions
11.1 Vectors in the plane
11.2 Vectors in three dimensions
11.3 Dot products
11.4 Cross products
11.5 Lines and curves in space
11.6 Calculus of vector-valued functions
11.7 Motion in space
11.8 Length of curves
11.9 Curvature and normal vectors
12. Functions of Several Variables
12.1 Planes and surfaces
12.2 Graphs and level curves
12.3 Limits and continuity
12.4 Partial derivatives
12.5 The Chain Rule
12.6 Directional derivatives and the gradient
12.7 Tangent planes and linear approximation
12.8 Maximum/minimum problems
12.9 Lagrange multipliers
13. Multiple Integration
13.1 Double integrals over rectangular regions
13.2 Double integrals over general regions
13.3 Double integrals in polar coordinates
13.4 Triple integrals
13.5 Triple integrals in cylindrical and spherical coordinates
13.6 Integrals for mass calculations
13.7 Change of variables in multiple integrals
14. Vector Calculus
14.1 Vector fields
14.2 Line integrals
14.3 Conservative vector fields
14.4 Green’s theorem
14.5 Divergence and curl
14.6 Surface integrals
14.6 Stokes’ theorem
14.8 Divergence theorem
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Language: English
ISBN-10: 0321947347
ISBN-13: 978-0321947345
ISBN-13: 9780321947345
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Test Bank for Introduction to Governmental and Not for Profit Accounting 7th Edition by Ive Patton and Patton
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