The document discusses differentiation and tangents. It explains that differentiation finds the gradient of a curve at a point and is needed because curves have changing gradients. It provides examples of differentiating simple functions like y=3x^5. Tangents are lines that touch a curve at a single point, with the same gradient as the curve at that point. To find the equation of a tangent, take the derivative and plug in the x-value to get the slope, then use the point to find the y-intercept. Normals are perpendicular to tangents, with a gradient equal to the negative reciprocal of the tangent's gradient.
This document discusses rational functions and their asymptotes. It begins by stating to predict all asymptotes and graph rational functions to verify the asymptotes. It then provides examples of rational functions and shows how to find their vertical, horizontal and slant asymptotes. It demonstrates dividing the polynomials of a rational function to find the slant asymptote. It concludes by analyzing the end behavior of rational functions and stating that the slant asymptote is found using the quotient polynomial.
The document discusses functions and how they can be represented. It notes that there are four main ways to represent a function: verbally, algebraically through formulas/equations, graphically through graphs, and numerically through tables of values. It then provides an example function that gives the travel time for a car on a 100 mile stretch of road based on its speed over the speed limit. It has the learner answer questions about this example, including calculating specific output values, sketching a graph, and drawing a table to understand trends in the outputs. The key points are that functions can be expressed in multiple ways and analyzing these representations can provide insight into the relationships between inputs and outputs.
This document contains examples of using the Law of Cosines to solve problems involving finding the distance between two objects traveling at different speeds and headings. The first problem involves two jets leaving an airport heading 150 and 260 degrees at 680 and 560 MPH, respectively. Using the Law of Cosines, the distance between them after 2 hours is calculated to be approximately 2036 miles. The second problem involves two planes leaving an airport heading 70 and 170 degrees at 500 and 480 MPH, respectively. Applying the Law of Cosines gives a distance between them after 3 hours of approximately 2252.5 miles.
The document provides information about resources for revising mathematics over half term break, including social media accounts and a blog. It then gives examples of typical calculator paper questions involving ratios, averages, expanding brackets, and properties of numbers. It encourages revising everything as all topics may appear. Tips are given such as using CorbettMaths and completing five questions a day. Sample questions are worked through on ratios, averages, and trial and improvement problems.
This document discusses linear velocity, angular velocity, and their relationships. It provides equations for calculating linear velocity, rotational velocity, and angular velocity. Examples are worked through, such as calculating the velocities of points on a spinning disk and the speed of a bicyclist based on wheel rotation speed. Students are encouraged to review this material and get help if needed, as the topic has historically been confusing.
El documento describe las categorías y detalles de un club de fútbol juvenil llamado Red Lions Football Club. Ofrece categorías para niños de 4-6 años, 7-10 años y 10-12 años. Detalla los torneos en los que pueden participar, los días y horarios de entrenamiento, el lugar de entrenamiento y los costos de inscripción e inscripción semanal.
O documento descreve a história da Academia Washington de Inglês, uma rede de franquias educacionais fundada no Brasil em 1963. A rede visa ensinar inglês com qualidade enquanto oferece um sistema de franquias lucrativo e satisfatório para os parceiros, valorizando qualidade, pessoas e honestidade. Detalha os requisitos para se tornar um franqueado e mostra depoimentos positivos sobre fazer parte da rede.
The document discusses differentiation and tangents. It explains that differentiation finds the gradient of a curve at a point and is needed because curves have changing gradients. It provides examples of differentiating simple functions like y=3x^5. Tangents are lines that touch a curve at a single point, with the same gradient as the curve at that point. To find the equation of a tangent, take the derivative and plug in the x-value to get the slope, then use the point to find the y-intercept. Normals are perpendicular to tangents, with a gradient equal to the negative reciprocal of the tangent's gradient.
This document discusses rational functions and their asymptotes. It begins by stating to predict all asymptotes and graph rational functions to verify the asymptotes. It then provides examples of rational functions and shows how to find their vertical, horizontal and slant asymptotes. It demonstrates dividing the polynomials of a rational function to find the slant asymptote. It concludes by analyzing the end behavior of rational functions and stating that the slant asymptote is found using the quotient polynomial.
The document discusses functions and how they can be represented. It notes that there are four main ways to represent a function: verbally, algebraically through formulas/equations, graphically through graphs, and numerically through tables of values. It then provides an example function that gives the travel time for a car on a 100 mile stretch of road based on its speed over the speed limit. It has the learner answer questions about this example, including calculating specific output values, sketching a graph, and drawing a table to understand trends in the outputs. The key points are that functions can be expressed in multiple ways and analyzing these representations can provide insight into the relationships between inputs and outputs.
This document contains examples of using the Law of Cosines to solve problems involving finding the distance between two objects traveling at different speeds and headings. The first problem involves two jets leaving an airport heading 150 and 260 degrees at 680 and 560 MPH, respectively. Using the Law of Cosines, the distance between them after 2 hours is calculated to be approximately 2036 miles. The second problem involves two planes leaving an airport heading 70 and 170 degrees at 500 and 480 MPH, respectively. Applying the Law of Cosines gives a distance between them after 3 hours of approximately 2252.5 miles.
The document provides information about resources for revising mathematics over half term break, including social media accounts and a blog. It then gives examples of typical calculator paper questions involving ratios, averages, expanding brackets, and properties of numbers. It encourages revising everything as all topics may appear. Tips are given such as using CorbettMaths and completing five questions a day. Sample questions are worked through on ratios, averages, and trial and improvement problems.
This document discusses linear velocity, angular velocity, and their relationships. It provides equations for calculating linear velocity, rotational velocity, and angular velocity. Examples are worked through, such as calculating the velocities of points on a spinning disk and the speed of a bicyclist based on wheel rotation speed. Students are encouraged to review this material and get help if needed, as the topic has historically been confusing.
El documento describe las categorías y detalles de un club de fútbol juvenil llamado Red Lions Football Club. Ofrece categorías para niños de 4-6 años, 7-10 años y 10-12 años. Detalla los torneos en los que pueden participar, los días y horarios de entrenamiento, el lugar de entrenamiento y los costos de inscripción e inscripción semanal.
O documento descreve a história da Academia Washington de Inglês, uma rede de franquias educacionais fundada no Brasil em 1963. A rede visa ensinar inglês com qualidade enquanto oferece um sistema de franquias lucrativo e satisfatório para os parceiros, valorizando qualidade, pessoas e honestidade. Detalha os requisitos para se tornar um franqueado e mostra depoimentos positivos sobre fazer parte da rede.
This document is a resume for Gia Trunzo, who has 15 years of experience as a medical assistant. She has worked in medical offices handling administrative and clinical duties, including welcoming patients, verifying information, answering phones, scheduling appointments, obtaining vitals, preparing exam rooms, and assisting with procedures. Her resume lists licenses in CPR, ECG techniques, and phlebotomy. Work history is provided for positions at Advanced Pediatrics, Stephen H. Pearl DPM, and Consultants in Gastroenterology.
Lesson 12 derivative of inverse trigonometric functionsRnold Wilson
The document discusses differentiation formulas for inverse trigonometric functions. It defines inverse trigonometric functions and provides the general differentiation formulas for the derivatives of inverse sine, cosine, tangent, cotangent, secant and cosecant functions. Examples are included to demonstrate finding the derivatives of various inverse trigonometric functions using these formulas. Exercises are also provided to allow readers to practice differentiation of inverse trigonometric functions.
The document describes putting a system of linear equations into triangular form. It contains a 3x3 system of linear equations. The summary explains that through Gaussian elimination by eliminating variables from equations, the system can be transformed into an upper triangular matrix with equations arranged from top to bottom to easily solve for the variables through back substitution.
NSCI 539 Rita Barakat Presentation Feb 2nd 2017 Rita Barakat
Rita Barakat worked with veterans who had suffered brain injuries affecting language processing. This experience sparked her interest in the neuroanatomical basis of language. She summarizes research showing language involves networks in the left temporal lobe and connecting white matter tracts. Her rotations examined how the brain processes speech in noise and differences in reading networks between those with and without dyslexia. Future goals include further exploring language-related brain regions and developing therapies to help those with language disorders.
This document advertises cooking masterclass workshops for high school hospitality teachers hosted by Chef Dominique Roux-Salembien. The one-day workshops are held on various Fridays and focus on equipping teachers with practical skills and recipes for seafood, poultry, desserts and meat dishes. The workshops include demonstrations, practical cooking sessions, and teachers receive a certificate upon completion. The $300 fee includes training, materials and a three-course meal. Space is limited to 13 participants.
Solutions to the algebra of summation notationMi L
The document provides 14 solutions to algebra summation problems. Each solution shows the step-by-step working to evaluate summations using summation rules and properties like grouping like terms, factoring, and treating summations as telescoping sums where consecutive terms cancel out. Examples include evaluating summations of increasing powers and fractions that are decomposed into partial fractions to find a closed form solution.
Este documento describe diferentes campos ocupacionales tradicionales e innovadores. Explica que un campo ocupacional se refiere a la profesión a la que se dedica una persona. Los campos innovadores son áreas determinadas en base a productos, actividades o métodos que pueden mejorarse mediante la innovación. También menciona algunas de las profesiones con mayor demanda en Guatemala como la administración de empresas, el marketing, la contabilidad y la ingeniería industrial.
El documento describe los factores que influyen en el desarrollo industrial. Estos factores incluyen el acceso a materias primas, energía, información sobre tecnología y el mercado, capital, mano de obra, vínculos con otras industrias, y un entorno político y económico estable. Todos estos factores deben estar presentes para que el sistema industrial funcione de manera efectiva.
This document discusses Hadith, which are reports of the statements, actions, or tacit approvals of the Prophet Muhammad. It provides definitions of key Hadith terminology like matn, isnad, sahih, and details the various classifications of Hadith books by topic, narrator, or compilation approach. The document emphasizes that the most authoritative Hadith collections are those of Bukhari, Muslim, Abu Dawood, Tirmidhi, Nisai, Ibn Majah, Muwatta Malik, and Musnad Ahmad due to their rigorous authentication process.
Mathematics (from Greek μάθημα máthēma, “knowledge, study, learning”) is the study of topics such as quantity (numbers), structure, space, and change. There is a range of views among mathematicians and philosophers as to the exact scope and definition of mathematics
The document discusses how online news archives and streaming video technologies can transport viewers back and forth in time. It provides examples of CBS News streaming its live 1963 coverage of JFK's assassination and the British Pathé archive making its 85,000 historical videos available on YouTube. These archives allow audiences not present for the original news events to experience them through a sense of presence and transportation. The use of digital technologies to preserve and share archived news content across time is analyzed.
Mobile technology is reshaping how news is delivered by making journalism more personalized and relevant to each user. Traditional broad media experiences are becoming less effective as consumers expect news on their mobile devices. To succeed, news organizations must change their workflows to focus on the consumer, harness the ubiquity of mobile, use consumer data to tailor news and utility to each individual, and ensure their content is hyper-relevant or risk becoming irrelevant.
This document is a resume for Gia Trunzo, who has 15 years of experience as a medical assistant. She has worked in medical offices handling administrative and clinical duties, including welcoming patients, verifying information, answering phones, scheduling appointments, obtaining vitals, preparing exam rooms, and assisting with procedures. Her resume lists licenses in CPR, ECG techniques, and phlebotomy. Work history is provided for positions at Advanced Pediatrics, Stephen H. Pearl DPM, and Consultants in Gastroenterology.
Lesson 12 derivative of inverse trigonometric functionsRnold Wilson
The document discusses differentiation formulas for inverse trigonometric functions. It defines inverse trigonometric functions and provides the general differentiation formulas for the derivatives of inverse sine, cosine, tangent, cotangent, secant and cosecant functions. Examples are included to demonstrate finding the derivatives of various inverse trigonometric functions using these formulas. Exercises are also provided to allow readers to practice differentiation of inverse trigonometric functions.
The document describes putting a system of linear equations into triangular form. It contains a 3x3 system of linear equations. The summary explains that through Gaussian elimination by eliminating variables from equations, the system can be transformed into an upper triangular matrix with equations arranged from top to bottom to easily solve for the variables through back substitution.
NSCI 539 Rita Barakat Presentation Feb 2nd 2017 Rita Barakat
Rita Barakat worked with veterans who had suffered brain injuries affecting language processing. This experience sparked her interest in the neuroanatomical basis of language. She summarizes research showing language involves networks in the left temporal lobe and connecting white matter tracts. Her rotations examined how the brain processes speech in noise and differences in reading networks between those with and without dyslexia. Future goals include further exploring language-related brain regions and developing therapies to help those with language disorders.
This document advertises cooking masterclass workshops for high school hospitality teachers hosted by Chef Dominique Roux-Salembien. The one-day workshops are held on various Fridays and focus on equipping teachers with practical skills and recipes for seafood, poultry, desserts and meat dishes. The workshops include demonstrations, practical cooking sessions, and teachers receive a certificate upon completion. The $300 fee includes training, materials and a three-course meal. Space is limited to 13 participants.
Solutions to the algebra of summation notationMi L
The document provides 14 solutions to algebra summation problems. Each solution shows the step-by-step working to evaluate summations using summation rules and properties like grouping like terms, factoring, and treating summations as telescoping sums where consecutive terms cancel out. Examples include evaluating summations of increasing powers and fractions that are decomposed into partial fractions to find a closed form solution.
Este documento describe diferentes campos ocupacionales tradicionales e innovadores. Explica que un campo ocupacional se refiere a la profesión a la que se dedica una persona. Los campos innovadores son áreas determinadas en base a productos, actividades o métodos que pueden mejorarse mediante la innovación. También menciona algunas de las profesiones con mayor demanda en Guatemala como la administración de empresas, el marketing, la contabilidad y la ingeniería industrial.
El documento describe los factores que influyen en el desarrollo industrial. Estos factores incluyen el acceso a materias primas, energía, información sobre tecnología y el mercado, capital, mano de obra, vínculos con otras industrias, y un entorno político y económico estable. Todos estos factores deben estar presentes para que el sistema industrial funcione de manera efectiva.
This document discusses Hadith, which are reports of the statements, actions, or tacit approvals of the Prophet Muhammad. It provides definitions of key Hadith terminology like matn, isnad, sahih, and details the various classifications of Hadith books by topic, narrator, or compilation approach. The document emphasizes that the most authoritative Hadith collections are those of Bukhari, Muslim, Abu Dawood, Tirmidhi, Nisai, Ibn Majah, Muwatta Malik, and Musnad Ahmad due to their rigorous authentication process.
Mathematics (from Greek μάθημα máthēma, “knowledge, study, learning”) is the study of topics such as quantity (numbers), structure, space, and change. There is a range of views among mathematicians and philosophers as to the exact scope and definition of mathematics
The document discusses how online news archives and streaming video technologies can transport viewers back and forth in time. It provides examples of CBS News streaming its live 1963 coverage of JFK's assassination and the British Pathé archive making its 85,000 historical videos available on YouTube. These archives allow audiences not present for the original news events to experience them through a sense of presence and transportation. The use of digital technologies to preserve and share archived news content across time is analyzed.
Mobile technology is reshaping how news is delivered by making journalism more personalized and relevant to each user. Traditional broad media experiences are becoming less effective as consumers expect news on their mobile devices. To succeed, news organizations must change their workflows to focus on the consumer, harness the ubiquity of mobile, use consumer data to tailor news and utility to each individual, and ensure their content is hyper-relevant or risk becoming irrelevant.
Безбар’єрність в бібліотеці – суспільна нормаssuser15a891
Виступ директора Арцизької міської публічної бібліотеки Галини Стоматової 08.06.2024 р. під час засідання круглого столу «Безбар’єрне середовище в публічній бібліотеці: комфорт для кожного», який відбувся в місті Чорноморськ, в рамках ХХІV Інтелект-форуму «Українська книга на Одещині»
Передвиборча програма Майора Станіславаtetiana1958
Передвиборча програма Майора Станіслава - кандидата на посаду голови Студентського самоврядування Факультету переробних і харчових виробництв Державного біотехнологічного університету (м. Харків)
Передвиборча програма Ковальової Катериниtetiana1958
Передвиборча програма Ковальової Катерини - кандидатки на посаду голови Студентського самоврядування Факультету переробних і харчових виробництв Державного біотехнологічного університету (м. Харків)
Батько, тато, татусь, татусенько… Він вимогливий і суворий, мудрий і сміливий, сильний і міцний. 16 червня в Україні відзначають День батька. Бути хорошим батьком – найвідповідальніша місія в житті кожного чоловіка. Навчити, розповісти, захистити, пояснити та зробити все це з любов’ю й терпінням – таке може тільки справжній тато.
Тато – це людина, поруч з якою не буває страшно, вона любить тебе понад усе. Тож привітайте своїх татусів зі святом та нагадуйте їм про свою любов не лише в цей день.
Нинішній етап розвитку економіки країни вимагає підвищеного попиту на сільськогосподарську продукцію, виробництво якої неможливе без розвинутого агропромислового комплексу. Тому вплив наукових розробок на сферу виробництва сільськогосподарської продукції набуває все більшої уваги, розцінюється як визначальний фактор інноваційного розвитку в розбудові продовольчого ринку України.
У сучасних умовах сільськогосподарського виробництва пріоритетним напрямком наукових досліджень є обґрунтування та удосконалення сучасних агротехнологій вирощування зернобобових культур на засадах енерго- і ресурсозбереження та екологічної безпечності. Зернобобові культури належать до цінних у продовольчому, кормовому та агроекологічному значенні рослин сільського господарства України.
За посівними площами та валовими зборами товарного насіння група зернобобових культур у світовому землеробстві займає друге місце після зернових. Така їхня позиція зумовлена тим, що вони є найдешевшим джерелом високоякісного білка для харчування людей і годівлі тварин та птиці. Крім цього, насіння бобових вирізняється позитивним впливом на здоров’я людей та тварин завдяки оптимально поєднаному в ньому амінокислотному складу, комплексу вітамінів, мінеральних елементів, інших біологічно активних сполук.
проєкту від Національної бібліотеки України для дітей «Подорож містами України», у якому ти відкриєш для себе найкращі краєзнавчі перлини Батьківщини. Дванадцята зупинка присвячена західному, колоритному, найменшому за розміром регіону України - Чернівецькій області, яку називають Буковиною.