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High Quality Content by WIKIPEDIA articles! In calculus, a branch of mathematics, the second derivative test is a criterion often useful for determining whether a given stationary point of a function is a local maximum or a local minimum using the value of the second derivative at the point. In calculus, the second derivative of a function ? is the derivative of the derivative of ?. Roughly speaking, the second derivative measures how the rate of change of a quantity is itself changing; for example, the second derivative of the position of a vehicle with respect to time is the instantaneous acceleration of the vehicle, or the rate at which the velocity of the vehicle is changing. On the graph of a function, the second derivative corresponds to the curvature or concavity of the graph. The graph of a function with positive second derivative curves upwards, while the graph of a function with negative second derivative curves downwards.

Walter Allan

"CIMA Exam Practice Kits" consolidate learning by providing an extensive bank of practice questions. Each solution provides an in depth analysis of the correct answer and highlights why the alternatives are incorrect. "CIMA Exam Practice Kits" are ideal for students studying independently or attending a tutored revision course. It supplements the "Official CIMA Study Systems" and "CIMA Revision Cards" with a wealth of additional questions and material focused purely on applying what has been learnt to passing the exam. "CIMA Exam Practice Kits" help students prepare with confidence for exam day, and to pass the new 2006 syllabus first time. It includes exam standard multiple choice questions. It helps prepare to pass with extensive additional question practice. It is fully updated to reflect new 2006 syllabus. It provides worked answers to fully explain the correct answer, and analysis of incorrect answers helping CIMA students avoid common pitfalls.

Saunders Mac Lane

Mac Lane's autobiography takes the reader on a journey through the most important milestones of the mathematical world in the 20th century.

Mario F. Triola

KEY BENEFIT: Mario Triola remains the market-leading statistics author by engaging readers with an abundance of real data in the examples, applications, and exercises. Statistics is all around us, and Triola helps students understand how this course will impact their lives beyond the classroom–as consumers, citizens, and professionals. Elementary Statistics Using the TI-83/84 Plus Calculator, Third Edition provides extensive instruction for using the TI-83 and TI-84 Plus (and Silver Edition) calculators for statistics, with information on calculator functions, images of screen displays, and projects designed exclusively for the graphing calculator. Drawn from Triola’s Elementary Statistics, Eleventh Edition, this text provides the same student-friendly approach with material presented in a real-world context. The Third Edition contains more than 2,000 exercises, 87% are new, and 82% use real data. It also contains hundreds of examples; 86% are new and 94% use real data. By analyzing...

Lynne Billard

With the advent of computers, very large datasets have become routine. Standard statistical methods don’t have the power or flexibility to analyse these efficiently, and extract the required knowledge. An alternative approach is to summarize a large dataset in such a way that the resulting summary dataset is of a manageable size and yet retains as much of the knowledge in the original dataset as possible. One consequence of this is that the data may no longer be formatted as single values, but be represented by lists, intervals, distributions, etc. The summarized data have their own internal structure, which must be taken into account in any analysis. This text presents a unified account of symbolic data, how they arise, and how they are structured. The reader is introduced to symbolic analytic methods described in the consistent statistical framework required to carry out such a summary and subsequent analysis. Presents a detailed overview of...

David J. Hand

Modern statistics is very different from the dry and dusty discipline of the popular imagination. Author David J. Hand reveals it to be an exciting subject that uses deep theory and powerful software tools to shed light on all aspects of our livesa??enabling astronomers to explore the origins of the universe, archaeologists to investigate ancient civilizations, governments to learn how to benefit society, and businesses to run efficiently. Hand clearly explains how statistics work, and how we can decipher them.

Kirk Trigsted, Randall Gallaher, Kevin Bodden

The Summary Notebook offers streamlined coverage of core topics from the eText, while also providing a place for students to do practice work, summarize key concepts from the online videos and animations, and/or take notes in the classroom. The Summary Notebook can be packaged with your Trigsted MyMathLab access kit for students.

High Quality Content by WIKIPEDIA articles! A spheroid is a quadric surface obtained by rotating an ellipse about one of its principal axes; in other words, an ellipsoid with two equal semi-diameters.If the ellipse is rotated about its major axis, the result is a prolate (elongated) spheroid, like a rugby ball. If the ellipse is rotated about its minor axis, the result is an oblate (flattened) spheroid, like a lentil. If the generating ellipse is a circle, the result is a sphere.

John S. Hornsby, Margaret L. Lial, Gary K. Rockswold

A Graphical Approach to Algebra and Trigonometry illustrates how the graph of a function can be used to support the solutions of equations and inequalities involving the function. Beginning with linear functions in Chapter 1, the text uses a four-part process to analyze each type of function, starting first with the graph of the function, then the equation, the associated inequality of that equation, and ending with applications. The text covers all of the topics typically caught in a college algebra course, but with an organization that fosters students’ understanding of the interrelationships among graphs, equations, and inequalities. With the Fifth Edition, the text continues to evolve as it addresses the changing needs of today’s students. Included are additional components to build skills, address critical thinking, solve applications, and apply technology to support traditional algebraic solutions, while maintaining its unique table of contents and functions-based approach. A...

This is the thirty-second issue of the United Nations publication, "National Accounts Statistics: Analysis of Main Aggregates" (AMA). It is presented as part of a series that also includes the annual principal publication containing detailed national accounts information, "National Accounts Statistics: Main Aggregates and Detailed Tables" (MADT).