The tangent at point 'θ' is x sec θ/a–y tan θ/b =1. • The straight line y = mx + c is a tangent to the curve, if c2 = a2 m2 – b2. In other words, y = mx+ √a2m2–b2 touches the curve for all those values of m when m > b/a or m < –b/a.


Publisher: V&S Publishers

ISBN: 9789352150601

Category: Education

Page: 352

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This book is meant to be a quick refresher for JEE (MAIN)/AIEEE aspirants. With the aim and scope of providing a comprehensive study package for aspirants of JEE (MAIN)/AIEEE, this crash course focuses less on theory and more on concepts, formulae and tips. This is supported by plenty of practice problems based on the latest formats, structure and syllabus of JEE (MAIN)/AIEEE. This is further supplemented by a CD given along with this study kit with fully solved 2012 JEE (MAIN)/AIEEE question paper.Salient features: A Based on the latest pattern and syllabus of JEE (MAIN)/AIEEE A Solved examples, practice problems in each chapter A Previous years question papers fully solved A Less theory and more concepts, formulae and tips A Practice CD with fully solved JEE (MAIN)/AIEEE 2012 question paper A Plenty of problems for practice A Comprehensive, holistic revision of the complete syllabus of JEE (MAIN)/AIEEE A In-depth analysis of the recent trends of JEE (MAIN)/AIEEE A A quick and efficient study kit for JEE (MAIN)/AIEEE aspirants A Facilitates self-study. A Low priced, handy book for quick and efficient revision
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Progress in Mechanics of Structures and Materials

0.000 0.002 -0.050 Point - D1 0.000 Ź -0.100 -0.150 Point - B1 -0.002 -0.200 Vertical deflections of slab ( m ) -0.250 X - direction displacemenet at Point - B2 , PointB4 , Point - D2 , and Point - D4 ( m ) -0.004 --Point - B2 Point ...

Author: Peter J. Moss

Publisher: CRC Press

ISBN: 9781000116175

Category: Technology & Engineering

Page: 1080

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This is a collection of peer-reviewed papers originally presented at the 19th Australasian Conference on the Mechanics of Structures and Materials by academics, researchers and practitioners largely from Australasia and the Asia-Pacific region. The topics under discussion include: composite structures and materials; computational mechanics; dynamic analysis of structures; earthquake engineering; fire engineering; geomechanics and foundation engineering; mechanics of materials; reinforced and prestressed concrete structures; shock and impact loading; steel structures; structural health monitoring and damage identification; structural mechanics; and timber engineering. It is a valuable reference for academics, researchers, and civil and mechanical engineers working in structural and material engineering and mechanics.
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Mathematics for JEE Main Advanced Volume 1 Class XI by Career Point Kota

The minimum value of OA + OB is equal to(A) (a2/3 + b2/3)3/2 (B) (a3/2 + b3/2)2/3 (C) (a2 + b2)1/2 (D) None of these 10. Passage-2 (4 to 6) If θ is the eccentric angle of the point P one end point of diameter, then slope of AP is - b θ ...

Author: Career Point Kota

Publisher: Career Point Publication

ISBN: 9789388837385

Category: Mathematics

Page: 487

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Mathematics for JEE (Main & Advanced) Volume 1 (Class XI) has been designed in keeping with the needs and expectations of students appearing for JEE Main. Its coherent presentation and compatibility with the latest prescribed syllabus and pattern of JEE (as per the latest NTA notification) will prove extremely useful to JEE aspirants. Questions in this book are handpicked by experienced faculty members of Career Point to enhance the following skills of the students – 1. Understanding of concepts and their application to the grass-root level. 2. Improving their scoring ability & accuracy by providing an opportunity to practice a variety of questions. Features of Book are:- · 2500+ Questions with explanatory Solutions · Chapters according to NCERT · All Types of MCQs based on latest pattern · Previous Year Questions since 2005 · 3 Mock Tests for Final Touch
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Engineering Drawing

(i) (ii) (iii) (iv) (v) (vi) As AB rotates about A, with A as centre and radius equal to AB, draw a circle that will be the path of point B. Divide the circle into eight equal parts to get eight different positions of B as B1, B2, .

Author: Shah, M. B.

Publisher: Pearson Education India

ISBN: 9788131742792


Page: 580

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The second edition of Engineering Drawing continues to cover all the fundamental topics of the field. This edition includes a new chapter on scales, the latest version of AutoCAD, and new pedagogy. Combining technical accuracy with readable explana
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Manufacturing Science and Technology ICMST2011

But as long as meet the H≥HB2, constant speed pump will be able to operate within the scope of its high efficiency, A1 to the right were cited over horizontally parallel cross curves at A point, B2 to the right were cited over ...

Author: Wu Fan

Publisher: Trans Tech Publications Ltd

ISBN: 9783038137580

Category: Technology & Engineering

Page: 8340

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Volume is indexed by Thomson Reuters CPCI-S (WoS). The objective of ICMST 2011 was to provide a platform where researchers, engineers, academics and industrial professionals from all over the world could present their research results and discuss developments in Manufacturing Science and Technology. This conference provided opportunities for delegates to exchange new ideas and applications face-to-face, to establish business or research contacts and to find global partners for future collaboration.
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Color Image Processing Weighted Walkthroughs In a Cartesian reference system, a point a partitions the plane into four ... by which the weights between A and the union B1 U B2 can be derived by linear combination of the weights between A and B1, ...

Author: Rastislav Lukac

Publisher: CRC Press

ISBN: 9781351837415

Category: Technology & Engineering

Page: 600

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Color Image Processing: Methods and Applications embraces two decades of extraordinary growth in the technologies and applications for color image processing. The book offers comprehensive coverage of state-of-the-art systems, processing techniques, and emerging applications of digital color imaging. To elucidate the significant progress in specialized areas, the editors invited renowned authorities to address specific research challenges and recent trends in their area of expertise. The book begins by focusing on color fundamentals, including color management, gamut mapping, and color constancy. The remaining chapters detail the latest techniques and approaches to contemporary and traditional color image processing and analysis for a broad spectrum of sophisticated applications, including: Vector and semantic processing Secure imaging Object recognition and feature detection Facial and retinal image analysis Digital camera image processing Spectral and superresolution imaging Image and video colorization Virtual restoration of artwork Video shot segmentation and surveillance Color Image Processing: Methods and Applications is a versatile resource that can be used as a graduate textbook or as stand-alone reference for the design and the implementation of various image and video processing tasks for cutting-edge applications. This book is part of the Digital Imaging and Computer Vision series.
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English Mechanics and the World of Science

VACUVM . determine such point with anything like exacti- number of equal divisions by straight lines per- ( exhaust ... The new curve , if carefully drawn and found closing ( somewhat gradually , the point B2 is a rod , it is usual to ...



ISBN: UCAL:$C208730

Category: Technology


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fe ^ E ( B2 ) = B2 E Figure 4.2 : The sampling distribution of B2 : fa ,; with E ( B2 ) = B2 Unbiasedness If an ... This is written as : E ( B2 ) = 32 . ... point B2 into a straight line when the sample size n goes to infinity .

Author: Ben Vogelvang

Publisher: Pearson Education

ISBN: 0273683748

Category: Business & Economics

Page: 363

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Economists are regularly confronted with results of quantitative economics research. Econometrics: Theory and Applications with EViews provides a broad introduction to quantitative economic methods, for example how models arise, their underlying assumptions and how estimates of parameters or other economic quantities are computed. The author combines econometric theory with practice by demonstrating its use with the software package "EViews" through extensive use of screen shots. The emphasis is on understanding how to select the right method of analysis for a given situation, and how to actually apply the theoretical methodology correctly. The "EViews" software package is available from 'Quantitive Micro Software'. Written for any undergraduate or postgraduate course in Econometrics.
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Challenging Glass

[ MPa ] point B2 Oy ! [ MPa ] point B3 1 27,7 - 30,0 8,4 13,8 2 28,3 - 29,2 8,6 12,7 3 30,5 - 29,5 8,8 13,3 4 29,9 - 32,9 6,4 14,7 5 27,7 - 30,3 6,4 13,2 6 27,9 - 29,1 7,9 13,6 7 29,2 - 29,9 5,3 13,8 8 25,4 - 28,6 8,0 13,1 9 25,7 - 29,1 ...

Author: Freek Bos

Publisher: IOS Press

ISBN: 1586038664

Category: Architecture

Page: 668

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Contains topics that range from glass joints, fixings and adhesives to architectural designs to the strength, stability and safety of glass. This book also covers issues such as laminates and composite designs, glass lighting, the curving and bending of glass and the many facades of glass.
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Engg Drawing

This circle represents the locus of that point ( i.e. , B1 ) in TV . ... B in FV Locus of point B in FV TL EL 72 a ' b2 ' a ' EL < TL ha ha X Y Х Y da da PL < TL 1 a a co PL Locus of point B in TV TL Locus of point B in TV t bb2t Fig .

Author: Jolhe

Publisher: Tata McGraw-Hill Education

ISBN: 0070648379


Page: 652

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This book is meant for the Engineering Drawing course offered to the students of all engineering disciplines in their first year. An important highlight of this book is the inclusion of practical hints along with theory which would enable the students to make perfect drawings.
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Chapterwise Topicwise Solved Papers Mathematics for Engineering Entrances 2020

62 C = m a 2a Point of contact of y = mx + c and curve m = 0 2 m m Faʼm +62 Jam2 + 622 J2m2 + 62 — Y1 ( x – x1 ) a2x b2y = a2 - 62 Equation of normal at point ( x , y ) tam +62 Ja2m2 - b ? " Ja2m2 - 62 a2x = a ? + b2 x1 Yi axcosa + ...

Author: B L Sharma

Publisher: Arihant Publications India limited

ISBN: 9789313199687

Category: Study Aids

Page: 1136

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For cracking any competitive exam one need to have clear guidance, right kind of study material and thorough practice. When the preparation is done for the exams like JEE Main and NEET one need to have clear concept about each and every topic and understanding of the examination pattern are most important things which can be done by using the good collection of Previous Years' Solved Papers. Chapterwise Topicwise Solved Papers MATHEMATICS for Engineering Entrances is a master collection of exams questions to practice for JEE Main & Advanced 2020, which have been consciously revised as per the latest pattern of exam. It carries 15 Years of Solved Papers [2019-2005] in both Chapterwise and topicwise manner by giving the full coverage to syllabus. This book is divided into parts based on Class XI and XII NCERT syllabus covering each topic. This book gives the complete coverage of Questions asked in JEE Main &Advanced, AIEEE, IIT JEE & BITSAT, UPSEE, MANIPAL, EAMCET, WB JEE, etc., Thorough practice done from this book will the candidates to move a step towards their success. TABLE OF CONTENT Sets, Relations and Functions, Complex Numbers, Equations and Inequalities, Sequences and Series, Permutations and Combinations, Binomial Theorem and Mathematical Induction, Matrices and Determinants, Trigonometric Identities and Equations, Inverse Trigonometric Functions, Properties of Triangle, Heights and Distances, Rectangular Cartesian Coordinates, Straight Line and Pair of Straight Lines, Circle and System of Circles, Conic Section, Limits, Continuity and Differentiability, Differentiation, Applications of Derivatives, Indefinite Integrals, Definite Integrals, Applications of Integrals, Differential Equations, Vector Algebra, Three Dimensional Geometry, Statistics, Probability, Mathematical Logic and Boolean Algebra, Linear Programming, Statics and Dynamics, Miscellaneous, Questions Asked in JEE Main 2015, Solved Papers 2016 (JEE Main, BITSAT, AP EAMCET, TS EAMCET, GGSIPU), Solved Papers 2017 (JEE Main & Advanced, BITSAT, VIT & WBJEE), Solved Papers 2018 (JEE Main & Advanced, BITSAT & WBJEE), Solved Papers 2019 (JEE Main & Advanced, BITSAT & WBJEE).
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Geology of Coal Fires

On the other hand, if we could determine a position close to each point source, we still could obtain much information about the source. Inversion Method Based on Point-Source Model Consider a point source at point P = (b 1 , b2, ...

Author: Glenn B. Stracher

Publisher: Geological Society of America

ISBN: 9780813741185

Category: Science

Page: 283

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Naturally burning coal fires and those ignited by human activities receive little attention from the media compared to other environmental hazards, but their study is gaining ground. Here, the world's leading experts present their research findings covering topics such as the gases generated in underground coal fires, the origin of gas-vent minerals and land-cover changes due to coal fires.
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Principles of Structure Fifth Edition

Next consider the joint adjacent to spaces A and B. The forces acting on this joint are 1A, AB, B2 and 21. Turning to the force diagram, trace the existing lines 1a, ab, and determine the location of point 2 such that b2 is parallel to ...

Author: Ken Wyatt

Publisher: CRC Press

ISBN: 9780415667272

Category: Technology & Engineering

Page: 232

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Since its first publication in 1974, Principles of Structure has established itself at the forefront of introductory texts for students of architecture, building and project management seeking a basic understanding of the behavior and design of building structures. It provides a simple quantitative introduction to structural engineering, while also drawing connections to real buildings that are more complex. Retaining the style and format of earlier editions, this Fifth Edition brings the text and examples into alignment with international practice. It also features six new buildings from around the world, illustrating the principles described in the text. The book begins with a chapter explaining forces and their effects. Other chapters cover ties and struts, loadings, graphical statics, bracings, shears and moments, stresses, deflections, and beam design. There is also an appendix with a fuller explanation of fundamentals for readers unfamiliar with the basic concepts of geometry and statics. The book offers a unique format with right-hand pages containing text and left-hand pages containing complementary commentary including explanations and expansions of points made in the text and worked examples. This cross-referencing gives readers a range of perspectives and a deeper understanding of each topic. The simple mathematical approach and logical progression—along with the hints and suggestions, worked examples and problem sheets—give beginners straightforward access to elementary structural engineering.
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Combinatorial Optimization and Applications

They then divided all the independent nodes into two categories: the nodes located in (B1 ∪B2)\(B1∩B 2) and the nodes in B1 ∩ B2. ... and intersect the outer surface of B1 (denoted by Sur(B1), and respectively Sur(B2)) at point ...

Author: Zhao Zhang

Publisher: Springer

ISBN: 9783319126913

Category: Computers

Page: 774

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This book constitutes the refereed proceedings of the 8th International Conference on Combinatorial Optimization and Applications, COCOA 2014, held on the island of Maui, Hawaii, USA, in December 2014. The 56 full papers included in the book were carefully reviewed and selected from 133 submissions. Topics covered include classic combinatorial optimization; geometric optimization; network optimization; optimization in graphs; applied optimization; CSoNet; and complexity, cryptography, and games.
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Electronic cryptographic communications equipment specialist AFSC 30650

The emitter remains at cutoff as long as the voltage on the emitter is less positive than the voltage at point C or 12.8 volts ... One - fourth the distance from B1 to B2 drops 5 volts ( point A ) , one - half drops 10 volts ( point B ) ...

Author: John M. Hardy


ISBN: MINN:30000010492548

Category: Cryptography


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An Introduction to Continuous Time Stochastic Processes

The following propositions mimic the corresponding results for the unmarked point processes. ... Let N be a marked point process on R+ x E, with compensator A, and let B1 and B2 be two disjoint sets in 8 for which M. (B1) and M(B2) are ...

Author: Vincenzo Capasso

Publisher: Springer Science & Business Media

ISBN: 9780817683467

Category: Mathematics

Page: 434

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Expanding on the first edition of An Introduction to Continuous-Time Stochastic Processes, this concisely written book is a rigorous and self-contained introduction to the theory of continuous-time stochastic processes. A balance of theory and applications, the work features concrete examples of modeling real-world problems from biology, medicine, industrial applications, finance, and insurance using stochastic methods. No previous knowledge of stochastic processes is required.
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Kempe s Engineer s Year book

2 INDEX AER Aerodynamics , aerofoil , drag , B2 / 13 , B2 / 17 - lift , B2 / 19 pressure gradient , B2 / 17 profiles ... B2 / 4 -rotorcraft , B 2/1 , B2 / 28 - rudder , B2 / 4 Schlieren method , B2 / 11 -separation point , B2 / 3 ...



ISBN: UCAL:B3530391

Category: Engineering


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Linear Programming and Resource Allocation Modeling

... level by b2 alone (x1 = 0) with g1 = b21, g2 = b22 (point b2) or by operating these output activities jointly by forming a composite activity as the convex combination of b1, b2, namely C = x1b1 + (1 − x1)b2, 0 ≤ x1 ≤ 1.

Author: Michael J. Panik

Publisher: John Wiley & Sons

ISBN: 9781119509462

Category: Business & Economics

Page: 448

View: 905

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Guides in the application of linear programming to firm decision making, with the goal of giving decision-makers a better understanding of methods at their disposal Useful as a main resource or as a supplement in an economics or management science course, this comprehensive book addresses the deficiencies of other texts when it comes to covering linear programming theory—especially where data envelopment analysis (DEA) is concerned—and provides the foundation for the development of DEA. Linear Programming and Resource Allocation Modeling begins by introducing primal and dual problems via an optimum product mix problem, and reviews the rudiments of vector and matrix operations. It then goes on to cover: the canonical and standard forms of a linear programming problem; the computational aspects of linear programming; variations of the standard simplex theme; duality theory; single- and multiple- process production functions; sensitivity analysis of the optimal solution; structural changes; and parametric programming. The primal and dual problems are then reformulated and re-examined in the context of Lagrangian saddle points, and a host of duality and complementary slackness theorems are offered. The book also covers primal and dual quadratic programs, the complementary pivot method, primal and dual linear fractional functional programs, and (matrix) game theory solutions via linear programming, and data envelopment analysis (DEA). This book: Appeals to those wishing to solve linear optimization problems in areas such as economics, business administration and management, agriculture and energy, strategic planning, public decision making, and health care Fills the need for a linear programming applications component in a management science or economics course Provides a complete treatment of linear programming as applied to activity selection and usage Contains many detailed example problems as well as textual and graphical explanations Linear Programming and Resource Allocation Modeling is an excellent resource for professionals looking to solve linear optimization problems, and advanced undergraduate to beginning graduate level management science or economics students.
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