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The document contains examples of calculating slopes of lines from given points, finding equations of lines given the slope and a point, finding slopes of perpendicular and parallel lines, and graphing various linear equations on a coordinate plane. There are multiple copyright notices from the publisher throughout.

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Section 2.3 properties of functions

The document discusses properties of even, odd, and neither even nor odd functions. It provides examples of functions and determines whether they are even, odd, or neither. It also covers topics like finding the intervals where a function is increasing or decreasing, and locating absolute maximums and minimums.

Section 5.6 logarithmic and exponential equations

This document contains solutions to several logarithmic and exponential equations. It begins by solving the equations log 4 2log x= and ( ) ( )2 2 1x x+ − =, finding the values of x that satisfy each. It then solves equations involving logarithms and exponents such as 3 7x = ln3 ln 7x, 5 2 3x × = 3, and 1 2 3 ln 2 ln5x x− + =. Each solution provides the step-by-step work and resulting value of x. The document concludes by solving the quadratic equation 9 3 6 0x x − − =.

Section 2.4 library of functions; piecewise defined function

This document discusses properties of several mathematical functions including the square root, cube root, and absolute value functions. For each function, it notes whether the function is odd or even and describes the x- and y-intercepts. It also provides piecewise definitions and properties of the absolute value function, including its domain and range.

Section 5.4 logarithmic functions

This document contains copyrighted content from Pearson Education discussing logarithmic functions. It includes examples of evaluating logarithmic expressions and solving logarithmic equations. The document covers properties of logarithmic functions including their domains and the process of changing between exponential and logarithmic form.

Section 4.3 the graph of a rational function

The document discusses graphs of rational functions and describes how to find x-intercepts. It notes that x-intercepts are the real zeros of the numerator that are in the domain of real numbers. As an example, it states that for the function (x - 1)/(x), x = 1 is the only x-intercept since x - 1 = 0 has a solution at x = 1. The document also contains multiple copyright notices and references to figures.

Section 5.5 properties of logarithms

This document contains examples of properties of logarithms, including:
1) Writing logarithms with the same base as a sum or difference of logarithms by using properties 1-4
2) Expressing logarithms with different bases in terms of a single logarithm using properties 5-6
3) Approximating logarithms by changing them to an exponential form and using properties 5 and 7
The document provides step-by-step workings for each example and identifies the relevant property of logarithms used at each step.

Section 3.5 inequalities involving quadratic functions

This document contains information about solving inequalities involving quadratic functions. It provides examples of solving the inequalities 5 4 0x x+ + > , 6x x≤ + , and 2 8 9 0x x− + − < and graphing the solution sets. For the inequality 5 4 0x x+ + > , the solution set is the region where the function ( ) 5 4f x x x+ + is greater than 0, which is the interval (4,1). For 6x x≤ + , the solution set is the region where the function ( ) 6f x x x− − is less than or equal to 0, which is the interval [2,3]. For 2 8 9

Lecture 5 sections 2.1-2.2 coordinate plane and graphs-

This document discusses graphs and coordinate planes. It introduces the x-axis, y-axis, and origin of the Cartesian coordinate system. It shows how to plot points and describes the four quadrants. It explains how to find the distance between points, midpoint of a line segment, slope and y-intercept of a line, and intercepts of graphs. It also covers changing equations to standard form, including completing the square, and graphing linear and circular equations.

Bt0063 mathemetics for it

This document provides information about getting fully solved assignments by emailing help.mbaassignments@gmail.com or calling 08263069601. It includes sample math assignment questions on sets, trigonometry, limits, probability, and solving systems of equations. The 6-question assignment covers topics like sets, radians, proof of trigonometric identities, continuity, probability, and solving 3 equations with 3 unknowns. Students are encouraged to email their semester and specialization to get solved assignments.

Math homework help service

This document provides information about an online math homework help service called Homework1. It includes:
- Contact information for Homework1, including their address, phone number, email, and social media links.
- An overview of the services provided, which include math homework help, writing assistance, and teaching students the solutions to help them learn.
- Several examples and solutions to common math problems to illustrate the type of homework help offered.

Bt0063 mathemetics for it

Dear students get fully solved assignments
Send your semester & Specialization name to our mail id :
“ help.mbaassignments@gmail.com ”
or
Call us at : 08263069601
(Prefer mailing. Call in emergency )

Exponent & Logarithm

This document discusses exponent rules and formulas involving positive, negative, fractional and zero exponents. It provides examples of simplifying expressions using these rules. Key points covered include:
- Formula I: am×an = am+n
- Formulas II-V cover properties for negative exponents and fractional exponents
- Examples are worked through applying the exponent rules and formulas

2d. Pedagogy of Mathematics - Part II (Numbers and Sequence - Ex 2.4)

Pedagogy of Mathematics - Part II (Numbers and Sequence - Ex 2.4), Numbers and Sequence, Maths, IX std Maths, Samacheerkalvi maths, II year B.Ed., Pedagogy, Mathematics, sequences, definitions of sequences, sequence as a function,

Bca1030 basic mathematics

This document provides information about getting fully solved assignments for the semester 1 subject Basic Mathematics. Students should send their semester and specialization details to help.mbaassignments@gmail.com or call 08263069601. The document then provides 6 sample questions from the Basic Mathematics assignment covering topics like sets, probability, continuity, and solving systems of equations.

2b. Pedagogy of Mathematics - Part II (Numbers and Sequence - Ex 2.2)

Pedagogy of Mathematics - Part II (Numbers and Sequence - Ex 2.2), Numbers and Sequence, Maths, IX std Maths, Samacheerkalvi maths, II year B.Ed., Pedagogy, Mathematics, Fundamental Theorem of Arithmetic, Significance of fundamental theorem of arithmetic,

Factorising algebraic expressions

This document provides examples of factorizing algebraic expressions by finding the highest common factor (HCF) of the terms. It shows expressions being factorized, such as 2a+6 being written as 2(a+3), and 8m+12 being written as 4(2m+3). The document explains that algebraic expressions can sometimes be written as the HCF multiplied by grouped terms in parentheses. It provides steps for finding the factors of each term and the HCF to factorize expressions like 9jk+4k as k(9j+4).

2e. Pedagogy of Mathematics - Part II (Numbers and Sequence - Ex 2.5)

Pedagogy of Mathematics - Part II (Numbers and Sequence - Ex 2.5, Numbers and Sequence, Maths, IX std Maths, Samacheerkalvi maths, II year B.Ed., Pedagogy, Mathematics, Arithmetic progression, definition of arithmetic progression, terms and common difference of an A.P., In an Arithmetic progression, conditions for three numbers to be in A.P.,

Section 2.3 properties of functions

Section 2.3 properties of functions

Section 5.6 logarithmic and exponential equations

Section 5.6 logarithmic and exponential equations

Section 2.4 library of functions; piecewise defined function

Section 2.4 library of functions; piecewise defined function

Section 5.4 logarithmic functions

Section 5.4 logarithmic functions

Section 4.3 the graph of a rational function

Section 4.3 the graph of a rational function

Section 5.5 properties of logarithms

Section 5.5 properties of logarithms

Section 3.5 inequalities involving quadratic functions

Section 3.5 inequalities involving quadratic functions

Lecture 5 sections 2.1-2.2 coordinate plane and graphs-

Lecture 5 sections 2.1-2.2 coordinate plane and graphs-

Bt0063 mathemetics for it

Bt0063 mathemetics for it

Math homework help service

Math homework help service

Bt0063 mathemetics for it

Bt0063 mathemetics for it

Exponent & Logarithm

Exponent & Logarithm

2d. Pedagogy of Mathematics - Part II (Numbers and Sequence - Ex 2.4)

2d. Pedagogy of Mathematics - Part II (Numbers and Sequence - Ex 2.4)

Bca1030 basic mathematics

Bca1030 basic mathematics

2b. Pedagogy of Mathematics - Part II (Numbers and Sequence - Ex 2.2)

2b. Pedagogy of Mathematics - Part II (Numbers and Sequence - Ex 2.2)

Factorising algebraic expressions

Factorising algebraic expressions

2e. Pedagogy of Mathematics - Part II (Numbers and Sequence - Ex 2.5)

2e. Pedagogy of Mathematics - Part II (Numbers and Sequence - Ex 2.5)

Section 1.1 The Distance and Midpoint Formulas

The document describes the rectangular coordinate system and plotting points on the x-y axis. It defines the four quadrants and provides an example of calculating the distance between two points using the distance formula. It also demonstrates finding the midpoint between two points by averaging their x and y coordinates.

11.1 linear equations in two variables

This document discusses graphs of linear equations and inequalities in two variables. It covers interpreting graphs, writing solutions as ordered pairs, deciding if an ordered pair is a solution to an equation, completing ordered pairs, completing tables of values, and plotting ordered pairs on a coordinate plane. The objectives are to be able to perform each of these tasks related to linear equations in two variables represented in rectangular coordinate systems.

Pat05 ppt 0105

This document discusses linear equations and functions. It provides examples of solving linear equations, including special cases where equations have no solution or infinitely many solutions. Applications involving linear models for distance, rate, and time as well as simple interest are presented. The key concepts of zeros of linear functions and finding the zero of a given linear function are also covered.

Unit 1.4

This document provides an overview of linear equations and their applications. It discusses key topics like slope, point-slope form, slope-intercept form, graphing linear equations, and finding equations of parallel and perpendicular lines. Examples are provided to illustrate how to find the slope of a line, write equations in various forms, estimate values using linear models, and solve other problems involving linear equations.

Unit .4

This document provides an overview of linear equations and their applications. It discusses key topics like slope, point-slope form, slope-intercept form, graphing linear equations, and finding equations of parallel and perpendicular lines. Examples are provided to illustrate how to find the slope of a line, write equations in various forms, graph lines, and apply linear models to estimate future values.

MAT1033.4.1.ppt

1) The document describes the rectangular coordinate system and graphs linear equations. It explains how to plot points, find intercepts, and graph horizontal, vertical, and lines passing through the origin.
2) Examples are provided for completing ordered pairs from equations, finding intercepts, and graphing different types of lines.
3) The midpoint formula is presented for finding the midpoint between two points on a line segment.

Section 5.3 exponential functions

The document is a copyright notice repeated multiple times. It states that the content is copyrighted by Pearson Education, Inc. in 2012 for their Prentice Hall publishing brand. No other substantive information is provided.

Section 5.3 exponential functions

The document is a copyright notice repeated multiple times. It states that the content is copyrighted by Pearson Education, Inc. in 2012 for their Prentice Hall publishing brand. No other substantive information is provided.

Unit .3

This document provides an overview of linear equations and inequalities. It discusses solving linear equations in one variable, properties of equality, equivalent equations, and solving linear inequalities. Examples are provided to demonstrate solving equations and inequalities, combining like terms, and using the lowest common denominator to combine fractions. The key topics covered are linear equations, solving equations, properties of equality, equivalent equations, and linear inequalities in one variable.

Unit 5.4

This document discusses multiple angle identities in trigonometry. It covers double angle identities, power reducing identities, and half angle identities. Examples are provided to demonstrate how to use these identities to solve trigonometric equations and find unknown lengths in triangles. The document is a series of slides from a textbook on trigonometry focusing on important angle identities used in calculus.

Unit 5.4

This document discusses multiple angle identities in trigonometry. It covers double angle identities, power-reducing identities, half-angle identities, and examples of using identities to solve trigonometric equations and find heights of triangles. Specific identities covered include sin2x, cos2x, tan2x, and expressions for reducing powers of trig functions like sin4x to single powers.

11.2 graphing linear equations in two variables

The document discusses how to graph linear equations and inequalities in two variables. It provides examples of graphing linear equations by plotting ordered pairs, finding intercepts, and using linear equations to model data. Specifically, it shows how to graph equations of the form y=mx+b, Ax+By=0, y=b, and x=a. It demonstrates finding intercepts and using them to graph equations. Finally, it gives an example of using a linear equation to model the monthly costs of a small business based on the number of products sold.

Zeros of a polynomial function

The document discusses polynomial functions and their roots. It begins by defining that the roots of a polynomial function are the values of x that make the function equal to 0. It then provides examples of finding the roots of linear and quadratic equations. Next, it introduces the Rational Root Theorem, which states that possible rational roots must be factors of the constant term and leading coefficient. Examples are given to demonstrate applying the theorem. The document concludes by using synthetic division to find all three roots of a cubic polynomial given one known root.

11.3 slope of a line

This document discusses finding the slope of a line from two points or an equation. It provides the slope formula and explains how to calculate slope given two points on a line. It also discusses horizontal and vertical lines, which have slopes of 0 and undefined, respectively. The document shows how to find the slope of a line from its equation by solving for y and taking the coefficient of x. It concludes by explaining how to determine if two lines are parallel, perpendicular, or neither based on the equality or product of their slopes. Examples are provided to demonstrate these concepts.

HOW TO CALCULATE EQUATION OF A LINE(2018)

HERE, WE DISCUSS FEW PROBLEMS ON HOW TO CALCULATE EQUATION OF A LINE . THE FORMULAE USING THE TANGENT OF THE INCLINATION OF THE LINE AND THE TWO POINT FORM ARE DISCUSSED.
THIS IS USEFUL FOR GRADE 10 AND GRADE 11 MATH STUDENTS AND STUDENTS PREPARING FOR THE GRE (QUANT), SAT AND ACT

Pat05 ppt 0106

This document discusses solving linear inequalities and compound inequalities. It provides examples of solving various inequalities algebraically and graphing their solution sets. It also gives an example of setting up and solving an inequality to model a real-world situation about payment plans for a house painting job.

mba10_ppt_0204 (1).ppt

The document describes steps for solving applied problems using linear equations:
1. Read the problem and identify what is given and what needs to be found.
2. Assign a variable to represent the unknown and write an equation relating the variable to the information given.
3. Solve the equation to find the value of the variable, which represents the answer.
It then provides examples of applying these steps to problems involving unknown numbers, sums of quantities, supplementary and complementary angles, and consecutive integers.

Quadraticequation

This document discusses quadratic equations, including:
1) Recognizing quadratic equations in the form ax^2 + bx + c and their characteristics.
2) Methods to solve quadratic equations including factoring, completing the square, and the quadratic formula.
3) Forming a quadratic equation given its two roots.
4) The relationship between the discriminant (Δ) and the nature of the roots, whether they are real/distinct, real/equal, or imaginary.

Quadraticequation

This document discusses quadratic equations, including:
1) Recognizing quadratic equations in the form ax^2 + bx + c and their characteristics.
2) Methods to solve quadratic equations including factoring, completing the square, and the quadratic formula.
3) Forming a quadratic equation given its two roots.
4) The relationship between the discriminant (Δ) and the nature of the roots, whether they are real/distinct, real/equal, or imaginary.

Section 2.1 functions

This document discusses functions and relations. It defines a relation as a correspondence between two sets, with an element x in one set corresponding to an element y in the other set. A function is defined as a special type of relation where each element x in the domain corresponds to exactly one element y in the range. Several examples are provided to illustrate determining if a relation represents a function, and specifying the domain and range if it does. The document also covers evaluating functions for given values and performing operations on functions.

Section 1.1 The Distance and Midpoint Formulas

Section 1.1 The Distance and Midpoint Formulas

11.1 linear equations in two variables

11.1 linear equations in two variables

Pat05 ppt 0105

Pat05 ppt 0105

Unit 1.4

Unit 1.4

Unit .4

Unit .4

MAT1033.4.1.ppt

MAT1033.4.1.ppt

Section 5.3 exponential functions

Section 5.3 exponential functions

Section 5.3 exponential functions

Section 5.3 exponential functions

Unit .3

Unit .3

Unit 5.4

Unit 5.4

Unit 5.4

Unit 5.4

11.2 graphing linear equations in two variables

11.2 graphing linear equations in two variables

Zeros of a polynomial function

Zeros of a polynomial function

11.3 slope of a line

11.3 slope of a line

HOW TO CALCULATE EQUATION OF A LINE(2018)

HOW TO CALCULATE EQUATION OF A LINE(2018)

Pat05 ppt 0106

Pat05 ppt 0106

mba10_ppt_0204 (1).ppt

mba10_ppt_0204 (1).ppt

Quadraticequation

Quadraticequation

Quadraticequation

Quadraticequation

Section 2.1 functions

Section 2.1 functions

Physical activity and nutrition

In this webinar you will understand the guidelines of physical activity and how it can be incorporated into your lifestyle. You will also learn how to use the FITT principle in your exercise to achieve your fitness goals. The active use of body's fuel and the importance of nutrition before, during, and after exercise will also be discussed.

Energy Balance and Healthy Body Weight

You will learn how to calculate body mass index (BMI) when given height and weight information, and describe the health implications of any given BMI value. You will also learn how to calculate yout total daily energy expenditure (TDEE) , and describe the roles of basal metabolic rate (BMR) and several other factors in determining an individual’s daily energy needs. The role of hormones that control your weight and strategies to "fix' those hormones will also be explored

Natural rubber

Natural rubber is a natural polymer that is produced as a milky white liquid called latex within the rubber tree. Latex contains rubber particles composed of polyisoprene polymers with double bonds that give natural rubber its elastic properties. The rubber particles are coated in a membrane with negative charges that prevent coagulation. Coagulation occurs when acids neutralize these charges, allowing the particles to collide and combine into a solid mass of natural rubber. Vulcanization improves natural rubber's properties by creating cross-links between polymer chains using sulfur, making the material harder, more elastic, and resistant to heat and oxidation.

Fat and oil

Oils and fats are esters composed of glycerol and fatty acids. Fats are found in animals and are solids at room temperature, while oils can be found in animals and plants and are liquids at room temperature. The document defines saturated and unsaturated fatty acids and lists examples of each found in common fats like palm oil. It describes the differences between saturated and unsaturated fats and their properties. Finally, it discusses some advantages of palm oil including its widespread use in foods and importance to the economy through business and jobs.

Ester

Esters are formed through an esterification reaction when a carboxylic acid reacts with an alcohol in the presence of a concentrated sulfuric acid catalyst. Esters have various physical properties including being colorless liquids at room temperature with sweet, pleasant smells and low boiling points and densities. They are found naturally in many plants and fruits where they contribute to smells and flavors. Esters have several applications including use as food flavorings, in cosmetics, fragrances, and medicines.

Carboxylic acid

Carboxylic acids have the general formula R-COOH. They are weak acids that only partially dissociate in water. Common properties include being colorless liquids or solids with sharp odors and high boiling points. Alcohols can be oxidized to form carboxylic acids using potassium dichromate and sulfuric acid. Carboxylic acids react with metals to form salts and hydrogen gas, with carbonates to form salts, carbon dioxide and water, and with bases to form salts and water. They also undergo esterification reactions with alcohols to form esters and water. Common uses include as preservatives and flavorings in food and in making soaps, drugs, dyes,

Alcohol

Alcohols are compounds containing a hydroxyl (-OH) group. They are named based on the carbon chain and position of the hydroxyl group. Alcohols can be produced through fermentation of sugars by yeast or through hydration of alkenes with steam. They have low boiling points, are colorless and volatile. Alcohols can undergo combustion, oxidation, and dehydration reactions. Ethanol is used as a fuel and solvent, while alcohols in general have industrial and medical uses.

Alkanes

Alkanes are saturated hydrocarbons whose general formula is CnH2n+2. Their names are derived from their molecular formula. Structural formulas show how atoms are bonded. Physical properties of alkanes include being soluble in organic solvents but not water, and existing as gases at low carbon numbers and liquids or solids at higher numbers. Melting and boiling points increase with more carbon atoms as intermolecular forces strengthen. Alkanes undergo combustion and halogenation reactions. Complete combustion produces CO2 and H2O while incomplete produces CO and H2O. Halogenation is a substitution reaction that occurs in sunlight, breaking C-H bonds and forming C-X bonds to produce chlorometh

Alkene

Alkenes are hydrocarbons containing at least one carbon-carbon double bond. They have lower melting and boiling points than alkanes due to weaker intermolecular forces. The number of carbons determines an alkene's name and formula. Alkenes undergo addition reactions, combustion reactions, polymerization reactions, and can be used to test for double bonds. They differ from alkanes in bonding, reactivity and ability to cause soot during combustion. Isomers are compounds with the same molecular formula but different structural formulas, resulting in different physical but same chemical properties.

Homologous series

A homologous series is a series of compounds with similar chemical properties where each member differs from the next by a CH2 group. The key characteristics of a homologous series are:
1) Each member can be represented by a common chemical formula that differs by CH2.
2) Members are prepared by a common method.
3) Members have the same chemical properties.
4) Each member differs from the next by one CH2 group which has a mass of 14.

Carbon compound

Carbon compounds can be divided into organic and inorganic compounds. Organic compounds contain carbon and are obtained from living things, having low boiling points. Inorganic compounds do not come from living things and have higher boiling points. Hydrocarbons are organic compounds made of only carbon and hydrogen. They can be saturated, containing only single bonds, or unsaturated, containing double or triple bonds. The molecular and structural formulas provide information on the atoms and bonds in a molecule. Naming carbon compounds according to IUPAC guidelines involves a stem/root indicating the number of carbons and an ending denoting the compound class.

Chapter 1 Rate of Reactions

The document discusses rate of reaction and factors that affect it. It defines rate of reaction as the change in amount of reactants or products per unit time. It describes several factors that affect rate based on collision theory, including surface area, concentration, temperature, catalysts, and pressure. It gives examples of how scientific understanding of rate of reaction enhances quality of life, such as refrigeration, pressure cooking, cutting food into smaller pieces, making margarine, and burning coal.

SPM F5 Chapter 1 Rate of Reaction

The document discusses rate of reaction and factors that affect it. It defines rate of reaction as the change in amount of reactants or products per unit time. Rate of reaction is affected by several factors including surface area, concentration, temperature, catalysts and pressure (for gas reactions). The collision theory is also explained, stating that reactions only occur during effective collisions where particles attain sufficient kinetic energy to overcome the activation energy barrier. Examples of how scientific understanding of rate of reaction enhances quality of life through applications like food storage, cooking and petroleum processing are provided.

Chapter 8 Alkyl halides

Halogenoalkanes, also known as alkyl halides, contain carbon-halogen bonds. They can be synthesized through free radical substitution or electrophilic addition reactions. Nucleophilic substitution reactions of halogenoalkanes produce alcohols or other products depending on the solvent. In aqueous solutions, hydroxide acts as a nucleophile to form alcohols via SN1 or SN2 mechanisms. In alcoholic solutions, hydroxide acts as a base to eliminate halogens and form alkenes. Both substitution and elimination reactions occur simultaneously but the solvent influences which pathway dominates.

Chapter 7 Alkenes and Alkyne

1) Alkenes are hydrocarbons that contain a carbon-carbon double bond. They include many naturally occurring compounds and important industrial materials.
2) The degree of unsaturation relates the molecular formula to possible structures by counting the number of multiple bonds or rings. Each double bond or ring replaces two hydrogens.
3) Alkenes react through electrophilic addition reactions, often involving a carbocation intermediate. The stability of the carbocation predicts the orientation of addition.

Chapter 05 an overview of organic reactions.

This document provides an overview of organic reactions, including the different types of organic reactions and how reaction mechanisms are used to describe the steps involved in organic reactions. It discusses several key aspects of organic reactions, including: 1) the common types of organic reactions such as addition, elimination, substitution, and rearrangement reactions, 2) how reaction mechanisms are used to describe the individual steps that occur in organic reactions, from reactants to products, and 3) the different types of steps that can be involved in reaction mechanisms, including the formation and breaking of covalent bonds. It also provides examples of reaction mechanisms, such as the addition of HBr to ethylene.

Chapter 05 stereochemistry at tetrahedral centers

This document discusses stereochemistry at tetrahedral carbons. It defines key terms like enantiomers, which are nonsuperimposable mirror images of each other. Enantiomers have different spatial arrangements but identical physical properties except for how they rotate plane-polarized light. The document also outlines Cahn-Ingold-Prelog rules for assigning R and S configurations to chiral centers based on atomic number priorities. Diastereomers are stereoisomers that are not mirror images, while meso compounds have chiral centers but are achiral due to an internal plane of symmetry.

Chapter 06 an overview of organic reactions

This document discusses organic reaction mechanisms. It explains that reactions occur through a series of steps, and may involve intermediates that are neither the starting reactants nor final products. Polar reactions involve the combination of electrophiles and nucleophiles, while radical reactions involve the formation and reaction of free radicals. The mechanism of HBr addition to ethylene is used as an example, involving the carbocation intermediate. Reaction steps and intermediates are illustrated using energy diagrams, and factors like bond energies and transition states are also discussed.

Chapter 05 stereochemistry at tetrahedral centers

1) The document discusses stereochemistry at tetrahedral carbon centers, including enantiomers, chirality, and how organic molecules can have different mirror image forms.
2) Key concepts covered are how stereochemistry arises from substitution patterns on sp3 hybridized carbon atoms, and how molecules without a plane of symmetry can exist as non-superimposable mirror images called enantiomers.
3) Methods for determining and describing stereochemistry such as sequence rules for assigning R/S configuration at chiral centers and how this relates to optical activity are summarized.

Chapter 05 stereochemistry at tetrahedral centers

Stereochemistry describes 3D properties of molecules that are not identical to their mirror images. These include enantiomers, which are non-superimposable mirror images of each other. Organic molecules containing tetrahedral carbons can have distinct enantiomers. Chiral molecules rotate plane-polarized light and are said to be optically active. Pasteur first discovered distinct crystalline forms of tartaric acid salts that were non-superimposable mirror images. The R/S system assigns configurations at chiral centers based on atomic priorities and spatial orientations. Molecules with multiple chiral centers can also have diastereomers that are not mirror images.

Physical activity and nutrition

Physical activity and nutrition

Energy Balance and Healthy Body Weight

Energy Balance and Healthy Body Weight

Natural rubber

Natural rubber

Fat and oil

Fat and oil

Ester

Ester

Carboxylic acid

Carboxylic acid

Alcohol

Alcohol

Alkanes

Alkanes

Alkene

Alkene

Homologous series

Homologous series

Carbon compound

Carbon compound

Chapter 1 Rate of Reactions

Chapter 1 Rate of Reactions

SPM F5 Chapter 1 Rate of Reaction

SPM F5 Chapter 1 Rate of Reaction

Chapter 8 Alkyl halides

Chapter 8 Alkyl halides

Chapter 7 Alkenes and Alkyne

Chapter 7 Alkenes and Alkyne

Chapter 05 an overview of organic reactions.

Chapter 05 an overview of organic reactions.

Chapter 05 stereochemistry at tetrahedral centers

Chapter 05 stereochemistry at tetrahedral centers

Chapter 06 an overview of organic reactions

Chapter 06 an overview of organic reactions

Chapter 05 stereochemistry at tetrahedral centers

Chapter 05 stereochemistry at tetrahedral centers

Chapter 05 stereochemistry at tetrahedral centers

Chapter 05 stereochemistry at tetrahedral centers

Our Guide to the July 2024 USPS® Rate Change

Postal Advocate manages the mailing and shipping spends for some of the largest organizations in North America. At this session, we discussed the USPS® July 2024 rate change. Postal Advocate shared all the important information you need to know for this coming rate change that goes into effect on Sunday, July 14, 2024.
We Covered:
-What rates are changing
-How this impacts you
-What you need to do
-Savings tips

JavaScript Interview Questions PDF By ScholarHat

JavaScript Interview Questions PDF

SD_Integrating 21st Century Skills in Classroom-based Assessment.pptx

Matatag Curriculum

Open Source and AI - ByWater Closing Keynote Presentation.pdf

ByWater Solutions, a leader in open-source library software, will discuss the future of open-source AI Models and Retrieval-Augmented Generation (RAGs). Discover how these cutting-edge technologies can transform information access and management in special libraries. Dive into the open-source world, where transparency and collaboration drive innovation, and learn how these can enhance the precision and efficiency of information retrieval.
This session will highlight practical applications and showcase how open-source solutions can empower your library's growth.

Allopathic M1 Srudent Orientation Powerpoint

Allopathic Medical M1 Orientation

matatag curriculum education for Kindergarten

for educational purposes only

MVC Interview Questions PDF By ScholarHat

MVC Interview Questions PDF By ScholarHat

New Features in Odoo 17 Sign - Odoo 17 Slides

The Sign module available in the Odoo ERP platform is exclusively designed for sending, signing, and approving documents digitally. The intuitive interface of the module with the drag and drop fields helps us to upload our pdf easily and effectively. In this slide, let’s discuss the new features in the sign module in odoo 17.

11EHS Term 3 Week 1 Unit 1 Review: Feedback and improvementpptx

Check subjects on Student Portal and review continuous feedback for each subject.

E-learning Odoo 17 New features - Odoo 17 Slides

Now we can take a look into the new features of E-learning module through this slide.

How to Manage Large Scrollbar in Odoo 17 POS

Scroll bar is actually a graphical element mainly seen on computer screens. It is mainly used to optimize the touch screens and improve the visibility. In POS there is an option for large scroll bars to navigate to the list of items. This slide will show how to manage large scroll bars in Odoo 17.

NAEYC Code of Ethical Conduct Resource Book

NAEYC Code of Ethical Conduct Book

How to Create & Publish a Blog in Odoo 17 Website

A blog is a platform for sharing articles and information. In Odoo 17, we can effortlessly create and publish our own blogs using the blog menu. This presentation provides a comprehensive guide to creating and publishing a blog on your Odoo 17 website.

Node JS Interview Question PDF By ScholarHat

Node JS Interview Question PDF

How to Manage Access Rights & User Types in Odoo 17

In Odoo, who have access to the database they are called users. There are different types of users in odoo and they have different accesses into the database. Access rights are permissions that can be set for the individual or group of users. This slide will show How to Manage Access Rights & User Types in Odoo 17.

ASP.NET Core Interview Questions PDF By ScholarHat.pdf

ASP.NET Core Interview Questions PDF By ScholarHat.pdf

formative Evaluation By Dr.Kshirsagar R.V

Formative Evaluation Cognitive skill

Parent PD Design for Professional Development .docx

Professional Development Papers

How To Update One2many Field From OnChange of Field in Odoo 17

There can be chances when we need to update a One2many field when we change the value of any other fields in the form view of a record. In Odoo, we can do this. Let’s go with an example.

Our Guide to the July 2024 USPS® Rate Change

Our Guide to the July 2024 USPS® Rate Change

JavaScript Interview Questions PDF By ScholarHat

JavaScript Interview Questions PDF By ScholarHat

SD_Integrating 21st Century Skills in Classroom-based Assessment.pptx

SD_Integrating 21st Century Skills in Classroom-based Assessment.pptx

Kesadaran_Berbangsa_dan_Bernegara_Nasion.pptx

Kesadaran_Berbangsa_dan_Bernegara_Nasion.pptx

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- 1. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Section 1.3 Lines
- 2. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
- 3. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
- 4. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
- 5. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
- 6. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
- 7. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Find the slope of the line containing the points (-1, 4) and (2, -3). 3 4 7 2 1 3 m − − = = − + 4 3 7 1 2 3 m + = = − − − The average rate of change of y with respect to x is 7 3 −
- 8. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Compute the slopes of the lines L1, L2, L3, and L4 containing the following pairs of points. Graph all four lines on the same set of coordinate axes.
- 9. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
- 10. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
- 11. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
- 12. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
- 13. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
- 14. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
- 15. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Graph the equation: x = − 2 −4 −3 −2 −1 1 2 −1 1 2 3 4 x y −4 −3 −2 −1 1 2 −1 1 2 3 4 x y (-2,4) (-2,2) (-2,0) (-2,1)
- 16. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
- 17. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
- 18. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
- 19. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Find the equation of a line with slope −3 and containing the point (−1, 4). ( )( )4 3 1y x− = − − − 4 3 3y x− = − − 3 1y x= − + −4 −3 −2 −1 1 2 −1 1 2 3 4 x y Run = 1 Rise = -3
- 20. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Find the equation of a horizontal line containing the point (2, −4). ( ) ( )4 0 2y x− − = × − 4 0y + = 4y = − −3 −2 −1 1 2 3 −4 −3 −2 −1 1 x y
- 21. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
- 22. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
- 23. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Find an equation of the line L containing the points (−1, 4) and (3, −1). Graph the line L. −5 −4 −3 −2 −1 1 2 3 4 5 −5 −4 −3 −2 −1 1 2 3 4 5 (-1, 4) (3, -1) ( ) 1 4 3 1 m − − = − − 5 4 = − ( )( )5 4 1 4 y x− = − − − ( ) 5 4 1 4 y x− = − +
- 24. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
- 25. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
- 26. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
- 27. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
- 28. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
- 29. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. −5 −4 −3 −2 −1 1 2 3 4 5 −5 −4 −3 −2 −1 1 2 3 4 5 (0, -3) (2, 0) Find the slope m and y-intercept b of the equation 3x – 2y = 6. Graph the equation. 3 3 2 y x= − 3 2 3x – 2y = 6 – 2y = −3x+6 3 3 2 y x= −
- 30. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
- 31. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
- 32. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Graph the linear equation 3x + 2y = 6 by finding its intercepts. The x-intercept is at the point (2, 0) The y-intercept is at the point (0, 3) −5 −4 −3 −2 −1 1 2 3 4 5 −5 −4 −3 −2 −1 1 2 3 4 5 (0, 3) (2, 0) 3x + 2(0) = 6 3x = 6 x = 2 3(0) + 2y = 6 2y = 6 y = 3
- 33. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
- 34. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
- 35. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. 1 : 3 2 12L x y− + = 2 : 6 4 0L x y− = 2 3 12y x= + 3 6 2 y x= + 3 Slope ; -intercept 6 2 y= = 4 6y x− = − 3 2 y x= 3 Slope ; -intercept 0 2 y= = −6 −5 −4 −3 −2 −1 1 2 3 −2 −1 1 2 3 4 5 6 x y
- 36. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Find an equation for the line that contains the point ( 1,3) and is parallel to the lin 3 4 1e .2x y = − − 4 3 12.y x− = − + 3 3 4 y x= − 3 So a line parallel to this one would have a slope of . 4 ( )1 1y y m x x− = − ( ) 3 3 ( 1) 4 y x− = − − 3 15 4 4 y x= +−8 −6 −4 −2 2 4 6 −6 −4 −2 2 4 6 8 x y
- 37. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
- 38. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
- 39. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
- 40. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Find the slope of a line perpendicular to a line with slope . 3 4 perpendicular 4 3 m = − −5 −4 −3 −2 −1 1 2 3 4 5 −5 −4 −3 −2 −1 1 2 3 4 5 1 3 4 m = 2 4 3 m = −
- 41. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Find an equation for the line that contains the point ( 1,3) and is perpendicular to the li 2ne 3 1 .4x y− = − 4 3 12.y x− = − + 3 3 4 y x= − 4 So a line perpendicular to this one would have a slope of . 3 − ( )1 1y y m x x− = − ( ) 4 3 ( 1) 3 y x− = − − − 4 5 3 3 y x= − +−8 −6 −4 −2 2 4 6 −6 −4 −2 2 4 6 8 x y