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Equação do segundo grau - Revisão
O documento discute as relações entre os coeficientes e raízes de uma equação do segundo grau, explicando que a soma das raízes é igual ao quociente do termo independente pelo coeficiente de primeiro grau, e o produto das raízes é igual ao quociente entre o termo independente e o coeficiente de segundo grau. Também apresenta aplicações dessas relações.
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Este documento es un examen de matemáticas para el 8o grado en el Instituto de Educación Anísio Teixeira. Contiene instrucciones para el estudiante de no olvidar algo, un enlace a un blog con más información y una sección en blanco para que el estudiante complete el examen.
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O documento apresenta a fórmula resolvente para resolver equações do segundo grau completas da forma ax2 + bx + c = 0. A fórmula é x = -b ± √(b2 - 4ac)/2a. Exemplos mostram como aplicar a fórmula para encontrar as raízes de equações do tipo proposto.
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1) Uma lista de exercícios de equações do 2o grau incompletas com 5 questões. 2) Pede para classificar equações como completas ou incompletas, identificar coeficientes e resolver equações. 3) Inclui problemas como determinar quantos filhos Moisés tem baseado na equação do triplo do quadrado do número de filhos.
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Equação do segundo grau - Revisão
O documento discute as relações entre os coeficientes e raízes de uma equação do segundo grau, explicando que a soma das raízes é igual ao quociente do termo independente pelo coeficiente de primeiro grau, e o produto das raízes é igual ao quociente entre o termo independente e o coeficiente de segundo grau. Também apresenta aplicações dessas relações.
Lista de equações do 2º grau incompletas
Este documento es un examen de matemáticas para el 8o grado en el Instituto de Educación Anísio Teixeira. Contiene instrucciones para el estudiante de no olvidar algo, un enlace a un blog con más información y una sección en blanco para que el estudiante complete el examen.
Equações do 2º grau fórmula resolvente
O documento apresenta a fórmula resolvente para resolver equações do segundo grau completas da forma ax2 + bx + c = 0. A fórmula é x = -b ± √(b2 - 4ac)/2a. Exemplos mostram como aplicar a fórmula para encontrar as raízes de equações do tipo proposto.
1ª lista de exercícios 9º ano(equações do 2º grau - incompletas)
1) Uma lista de exercícios de equações do 2o grau incompletas com 5 questões. 2) Pede para classificar equações como completas ou incompletas, identificar coeficientes e resolver equações. 3) Inclui problemas como determinar quantos filhos Moisés tem baseado na equação do triplo do quadrado do número de filhos.
Chapter wise All Notes of First year Basic Civil Engineering.pptx
Chapter wise All Notes of First year Basic Civil Engineering
Syllabus
Chapter-1
Introduction to objective, scope and outcome the subject
Chapter 2
Introduction: Scope and Specialization of Civil Engineering, Role of civil Engineer in Society, Impact of infrastructural development on economy of country.
Chapter 3
Surveying: Object Principles & Types of Surveying; Site Plans, Plans & Maps; Scales & Unit of different Measurements.
Linear Measurements: Instruments used. Linear Measurement by Tape, Ranging out Survey Lines and overcoming Obstructions; Measurements on sloping ground; Tape corrections, conventional symbols. Angular Measurements: Instruments used; Introduction to Compass Surveying, Bearings and Longitude & Latitude of a Line, Introduction to total station.
Levelling: Instrument used Object of levelling, Methods of levelling in brief, and Contour maps.
Chapter 4
Buildings: Selection of site for Buildings, Layout of Building Plan, Types of buildings, Plinth area, carpet area, floor space index, Introduction to building byelaws, concept of sun light & ventilation. Components of Buildings & their functions, Basic concept of R.C.C., Introduction to types of foundation
Chapter 5
Transportation: Introduction to Transportation Engineering; Traffic and Road Safety: Types and Characteristics of Various Modes of Transportation; Various Road Traffic Signs, Causes of Accidents and Road Safety Measures.
Chapter 6
Environmental Engineering: Environmental Pollution, Environmental Acts and Regulations, Functional Concepts of Ecology, Basics of Species, Biodiversity, Ecosystem, Hydrological Cycle; Chemical Cycles: Carbon, Nitrogen & Phosphorus; Energy Flow in Ecosystems.
Water Pollution: Water Quality standards, Introduction to Treatment & Disposal of Waste Water. Reuse and Saving of Water, Rain Water Harvesting. Solid Waste Management: Classification of Solid Waste, Collection, Transportation and Disposal of Solid. Recycling of Solid Waste: Energy Recovery, Sanitary Landfill, On-Site Sanitation. Air & Noise Pollution: Primary and Secondary air pollutants, Harmful effects of Air Pollution, Control of Air Pollution. . Noise Pollution Harmful Effects of noise pollution, control of noise pollution, Global warming & Climate Change, Ozone depletion, Greenhouse effect
Text Books:
1. Palancharmy, Basic Civil Engineering, McGraw Hill publishers.
2. Satheesh Gopi, Basic Civil Engineering, Pearson Publishers.
3. Ketki Rangwala Dalal, Essentials of Civil Engineering, Charotar Publishing House.
4. BCP, Surveying volume 1
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Syllabus
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Introduction to objective, scope and outcome the subject
Chapter 2
Introduction: Scope and Specialization of Civil Engineering, Role of civil Engineer in Society, Impact of infrastructural development on economy of country.
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Surveying: Object Principles & Types of Surveying; Site Plans, Plans & Maps; Scales & Unit of different Measurements.
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Chapter 6
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4. BCP, Surveying volume 1
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