4.15 5.00pm Pfm Reform In Benin (Houssou And Mehou) Spanishicgfmconference
El documento describe la reforma del presupuesto en Benín, un pequeño país de África occidental. La reforma se inició en 1999 con el apoyo del Banco Mundial para abordar deficiencias como la falta de coordinación entre presupuestos operativos e inversiones. La reforma introdujo presupuestos de programas, planificación a mediano plazo y gestión basada en resultados. Aunque tuvo éxito en Benín y otros países, también generó algunos resultados inesperados como el uso excesivo de procedimientos excepcionales de gasto. La
Rely on a professional Travel guide in bodhgayarahultours
We stand tall as your travel guide in Bodhgaya. Bodhgaya, is the holiest of the four holy places of Buddhism. Situated by the river Niranjana, it is where Lord Buddha left his footsteps nearly 2500 years ago while travelling in the quest of enlightenment.
Este documento proporciona 13 pasos para importar un video .wmv a Macromedia Flash y exportarlo como un video que se puede reproducir en un navegador web. Los pasos incluyen seleccionar la opción de importar video, buscar y seleccionar el archivo de video, configurar la calidad de streaming, guardar el archivo Flash resultante y abrirlo en un navegador.
4.15 5.00pm Pfm Reform In Benin (Houssou And Mehou) Spanishicgfmconference
El documento describe la reforma del presupuesto en Benín, un pequeño país de África occidental. La reforma se inició en 1999 con el apoyo del Banco Mundial para abordar deficiencias como la falta de coordinación entre presupuestos operativos e inversiones. La reforma introdujo presupuestos de programas, planificación a mediano plazo y gestión basada en resultados. Aunque tuvo éxito en Benín y otros países, también generó algunos resultados inesperados como el uso excesivo de procedimientos excepcionales de gasto. La
Rely on a professional Travel guide in bodhgayarahultours
We stand tall as your travel guide in Bodhgaya. Bodhgaya, is the holiest of the four holy places of Buddhism. Situated by the river Niranjana, it is where Lord Buddha left his footsteps nearly 2500 years ago while travelling in the quest of enlightenment.
Este documento proporciona 13 pasos para importar un video .wmv a Macromedia Flash y exportarlo como un video que se puede reproducir en un navegador web. Los pasos incluyen seleccionar la opción de importar video, buscar y seleccionar el archivo de video, configurar la calidad de streaming, guardar el archivo Flash resultante y abrirlo en un navegador.
P & C Experiences, Hamilton's largest personal shopping agency, has appointed Meg O'Brien as their new primary personal shopper. O'Brien has over 20 years of experience as a personal shopper, including 15 years as an independent shopper and 5 years as the primary shopper for the Royal Family of Denmark. She will oversee all aspects of P & C's personal shopping division and support business strategies through her commitment to clients and innovative approach to customer satisfaction.
El documento explica la estructura del marco lógico, incluyendo los componentes, actividades, propósitos, resultados e hipótesis. Usa el ejemplo de un proyecto para mejorar el servicio de autobuses urbanos, con componentes como entrenar choferes, mejorar los talleres de reparación y optimizar las rutas. El propósito es que el servicio sea confiable, y el resultado es aumentar el uso de los autobuses. Explica la importancia de que las hipótesis se cumplan para alcanzar los objetivos planificados.
The document provides a list of spelling words and their misspelled variations to practice identifying spelling errors. It instructs the reader to read all the words, pronounce them in their head, spot the misspelled word, eliminate correctly spelled options, and identify that some items have no errors. It then provides examples of words with intentional misspellings and the correct spelling to choose.
Analyze, identify and mitigate networking issues with regards to Green IT principles and suggest process improvement measures in terms of re-engineering networking infrastructure for optimal usage and benefits.
Presentation on the digital challenge for museums given by Nick Poole, CEO Collections Trust at the joint CT / Museums Galleries Scotland partnership event, 2 March 2010.
O documento fornece instruções sobre como usar o sistema operacional Windows XP. Ele explica os principais componentes da interface gráfica do usuário como a área de trabalho, menu iniciar e caixas de diálogo. Também fornece detalhes sobre como navegar e gerenciar arquivos e pastas usando o Windows Explorer, incluindo como criar, renomear, excluir e organizar arquivos e pastas.
This document provides an overview and schedule for a 5-day training course for police trainers on a new Problem-Based Learning (PBL) model for training recruits. The training covers adult learning techniques, the differences between the new PBL approach and traditional models, and how to implement specific aspects of the PBL program such as using problem-based learning exercises, evaluating trainees, and incorporating concepts like emotional intelligence. Trainees will learn how to utilize the new training resources and apply the PBL method with their own recruits.
This document discusses key elements of effective mathematics lessons and tasks. It outlines characteristics of high-quality tasks such as incorporating multiple representations, strategies, solutions, and entry points to promote critical thinking. It emphasizes the importance of tasks connecting mathematical concepts and requiring cognitive demand. Questions should probe student thinking or push their understanding. Lessons should build in opportunities for students to communicate their evolving understanding. The document provides examples of effective tasks and questions to further student learning.
The document discusses Ubuntu Server and its role as a cloud operating system. It describes how Ubuntu Server accompanies the transition to cloud computing models like Infrastructure as a Service (IaaS) and Platform as a Service (PaaS) by providing tools like the Ubuntu Enterprise Cloud for deploying private and hybrid clouds and cloud images for public clouds. It also outlines features of Ubuntu Server that make it suitable for cloud workloads like tools for customizing instances at boot time and installing software.
The document discusses information security and internet snooping. It defines security and notes that security risks can come from many sources like fire, theft, or loss. It then explores how technology like the internet, mobile devices, and digitization of information has expanded security risks, especially around personal information theft and exposure. The document outlines the many ways personal information can be collected, from public records to social media to purchases. It also discusses how collected information can be used, sold to third parties, or exposed. Finally, it provides some security best practices around awareness, limiting exposure, securing devices and networks, and establishing security policies.
Slideshare is discontinuing its Slidecast feature as of February 28, 2014. Existing Slidecasts will be converted to static presentations without audio by April 30, 2014. The document informs users that new slidecasts can be found on myPlick.com or the author's blog starting in 2014. However, myPlick proved unreliable, so future slidecasts will instead be hosted on the author's YouTube channel.
The document discusses different methods for factorising expressions:
1) Looking for a common factor and dividing it out of all terms
2) Using the difference of two squares formula (a2 - b2 = (a - b)(a + b))
3) Factorising quadratic trinomials into two binomial factors by identifying the values that multiply to give the constant term and sum to give the coefficient of the linear term.
P & C Experiences, Hamilton's largest personal shopping agency, has appointed Meg O'Brien as their new primary personal shopper. O'Brien has over 20 years of experience as a personal shopper, including 15 years as an independent shopper and 5 years as the primary shopper for the Royal Family of Denmark. She will oversee all aspects of P & C's personal shopping division and support business strategies through her commitment to clients and innovative approach to customer satisfaction.
El documento explica la estructura del marco lógico, incluyendo los componentes, actividades, propósitos, resultados e hipótesis. Usa el ejemplo de un proyecto para mejorar el servicio de autobuses urbanos, con componentes como entrenar choferes, mejorar los talleres de reparación y optimizar las rutas. El propósito es que el servicio sea confiable, y el resultado es aumentar el uso de los autobuses. Explica la importancia de que las hipótesis se cumplan para alcanzar los objetivos planificados.
The document provides a list of spelling words and their misspelled variations to practice identifying spelling errors. It instructs the reader to read all the words, pronounce them in their head, spot the misspelled word, eliminate correctly spelled options, and identify that some items have no errors. It then provides examples of words with intentional misspellings and the correct spelling to choose.
Analyze, identify and mitigate networking issues with regards to Green IT principles and suggest process improvement measures in terms of re-engineering networking infrastructure for optimal usage and benefits.
Presentation on the digital challenge for museums given by Nick Poole, CEO Collections Trust at the joint CT / Museums Galleries Scotland partnership event, 2 March 2010.
O documento fornece instruções sobre como usar o sistema operacional Windows XP. Ele explica os principais componentes da interface gráfica do usuário como a área de trabalho, menu iniciar e caixas de diálogo. Também fornece detalhes sobre como navegar e gerenciar arquivos e pastas usando o Windows Explorer, incluindo como criar, renomear, excluir e organizar arquivos e pastas.
This document provides an overview and schedule for a 5-day training course for police trainers on a new Problem-Based Learning (PBL) model for training recruits. The training covers adult learning techniques, the differences between the new PBL approach and traditional models, and how to implement specific aspects of the PBL program such as using problem-based learning exercises, evaluating trainees, and incorporating concepts like emotional intelligence. Trainees will learn how to utilize the new training resources and apply the PBL method with their own recruits.
This document discusses key elements of effective mathematics lessons and tasks. It outlines characteristics of high-quality tasks such as incorporating multiple representations, strategies, solutions, and entry points to promote critical thinking. It emphasizes the importance of tasks connecting mathematical concepts and requiring cognitive demand. Questions should probe student thinking or push their understanding. Lessons should build in opportunities for students to communicate their evolving understanding. The document provides examples of effective tasks and questions to further student learning.
The document discusses Ubuntu Server and its role as a cloud operating system. It describes how Ubuntu Server accompanies the transition to cloud computing models like Infrastructure as a Service (IaaS) and Platform as a Service (PaaS) by providing tools like the Ubuntu Enterprise Cloud for deploying private and hybrid clouds and cloud images for public clouds. It also outlines features of Ubuntu Server that make it suitable for cloud workloads like tools for customizing instances at boot time and installing software.
The document discusses information security and internet snooping. It defines security and notes that security risks can come from many sources like fire, theft, or loss. It then explores how technology like the internet, mobile devices, and digitization of information has expanded security risks, especially around personal information theft and exposure. The document outlines the many ways personal information can be collected, from public records to social media to purchases. It also discusses how collected information can be used, sold to third parties, or exposed. Finally, it provides some security best practices around awareness, limiting exposure, securing devices and networks, and establishing security policies.
Slideshare is discontinuing its Slidecast feature as of February 28, 2014. Existing Slidecasts will be converted to static presentations without audio by April 30, 2014. The document informs users that new slidecasts can be found on myPlick.com or the author's blog starting in 2014. However, myPlick proved unreliable, so future slidecasts will instead be hosted on the author's YouTube channel.
The document discusses different methods for factorising expressions:
1) Looking for a common factor and dividing it out of all terms
2) Using the difference of two squares formula (a2 - b2 = (a - b)(a + b))
3) Factorising quadratic trinomials into two binomial factors by identifying the values that multiply to give the constant term and sum to give the coefficient of the linear term.
The document provides information on index laws and the meaning of indices in algebra:
- Index laws state that am × an = am+n, am ÷ an = am-n, and (am)n = amn. Exponents can be added or subtracted when multiplying or dividing terms with the same base.
- Positive exponents indicate a term is raised to a power. Negative exponents indicate a root is being taken. Terms with exponents are evaluated from left to right.
- Examples demonstrate how to simplify expressions using index laws and interpret different types of indices.
12 x1 t01 03 integrating derivative on function (2013)Nigel Simmons
The document discusses integrating derivatives of functions. It states that the integral of the derivative of a function f(x) is equal to the natural log of f(x) plus a constant. It then provides examples of integrating several derivatives: (i) ∫(1/(7-3x)) dx = -1/3 log(7-3x) + c, (ii) ∫(1/(8x+5)) dx = 1/8 log(8x+5) + c, and (iii) ∫(x5/(x-2)) dx = 1/6 log(x6-2) + c. It also discusses techniques for integrating fractions by polynomial long division and finds
The document discusses logarithms and their properties. Logarithms are defined as the inverse of exponentials. If y = ax, then x = loga y. The natural logarithm is log base e, written as ln. Properties of logarithms include: loga m + loga n = loga mn; loga m - loga n = loga(m/n); loga mn = n loga m; loga 1 = 0; loga a = 1. Examples of evaluating logarithmic expressions are provided.
The document discusses relationships between the coefficients and roots of polynomials. It states that for a polynomial P(x) = axn + bxn-1 + cxn-2 + ..., the sum of the roots equals -b/a, the sum of the roots taken two at a time equals c/a, and so on for higher order terms. It also provides examples of using these relationships to find the sums of roots for a given polynomial.
P
4
3
2
The document discusses properties of polynomials with multiple roots. It first proves that if a polynomial P(x) has a root x = a of multiplicity m, then the derivative of P(x), P'(x), will have a root x = a of multiplicity m-1. It then provides an example of solving a cubic equation given it has a double root. Finally, it examines a quartic polynomial and shows that its root α cannot be 0, 1, or -1, and that 1/
The document discusses factorizing complex expressions. The main points are:
- If a polynomial's coefficients are real, its roots will appear in complex conjugate pairs.
- Any polynomial of degree n can be factorized into a mixture of quadratic and linear factors over real numbers, or into n linear factors over complex numbers.
- Odd degree polynomials must have at least one real root.
- Examples of factorizing polynomials over both real and complex numbers are provided.
The document describes the Trapezoidal Rule for approximating the area under a curve between two points. It shows that the area A is estimated by dividing the region into trapezoids with height equal to the function values at the interval endpoints and bases equal to the intervals. In general, the area is approximated as the sum of the areas of each trapezoid, which is equal to the average of the endpoint function values multiplied by the interval length.
The document discusses methods for calculating the volumes of solids of revolution. It provides formulas for finding volumes when an area is revolved around either the x-axis or y-axis. Examples are given for finding volumes of common solids like cones, spheres, and others. Steps are shown for using the formulas to calculate volumes based on given functions and limits of revolution.
The document discusses different methods for calculating the area under a curve or between curves.
(1) The area below the x-axis is given by the integral of the function between the bounds, which can be positive or negative depending on whether the area is above or below the x-axis.
(2) To calculate the area on the y-axis, the function is solved for x in terms of y, then the bounds are substituted into the integral of this new function with respect to y.
(3) The area between two curves is calculated by taking the integral of the upper curve minus the integral of the lower curve, both between the same bounds on the x-axis.
The document discusses 8 properties of definite integrals:
1) Integrating polynomials results in a fraction.
2) Constants can be factored out of integrals.
3) Integrals of sums are equal to the sum of integrals.
4) Splitting an integral range results in the sum of the integrals.
5) Integrals of positive functions over a range are positive, and negative if the function is negative.
6) Integrals can be compared based on the relative values of the integrands.
7) Changing the limits of integration flips the sign of the integral.
8) Integrals of odd functions over a symmetric range are zero, and integrals of even functions are twice the integral over
6. Differentiating Inverse Trig
y sin 1 x
x sin y
dx
cos y
dy
dy 1
dx cos y
1
cos 2 y
1
1 sin 2 y
1
1 x2
7. Differentiating Inverse Trig
y sin 1 x y cos 1 x
x sin y
dx
cos y
dy
dy 1
dx cos y
1
cos 2 y
1
1 sin 2 y
1
1 x2
8. Differentiating Inverse Trig
y sin 1 x y cos 1 x
x sin y x cos y
dx
cos y
dy
dy 1
dx cos y
1
cos 2 y
1
1 sin 2 y
1
1 x2
9. Differentiating Inverse Trig
y sin 1 x y cos 1 x
x sin y x cos y
dx dx
cos y sin y
dy dy
dy 1
dx cos y
1
cos 2 y
1
1 sin 2 y
1
1 x2
10. Differentiating Inverse Trig
y sin 1 x y cos 1 x
x sin y x cos y
dx dx
cos y sin y
dy dy
dy 1 dy 1
dx cos y dx sin y
1
cos 2 y
1
1 sin 2 y
1
1 x2
11. Differentiating Inverse Trig
y sin 1 x y cos 1 x
x sin y x cos y
dx dx
cos y sin y
dy dy
dy 1 dy 1
dx cos y dx sin y
1 1
cos 2 y sin 2 y
1 1
1 sin 2 y 1 cos 2 y
1 1
1 x2 1 x2
12. Differentiating Inverse Trig
y sin 1 x y cos 1 x y tan 1 x
x sin y x cos y
dx dx
cos y sin y
dy dy
dy 1 dy 1
dx cos y dx sin y
1 1
cos 2 y sin 2 y
1 1
1 sin 2 y 1 cos 2 y
1 1
1 x2 1 x2
13. Differentiating Inverse Trig
y sin 1 x y cos 1 x y tan 1 x
x sin y x cos y x tan y
dx dx
cos y sin y
dy dy
dy 1 dy 1
dx cos y dx sin y
1 1
cos 2 y sin 2 y
1 1
1 sin 2 y 1 cos 2 y
1 1
1 x2 1 x2
14. Differentiating Inverse Trig
y sin 1 x y cos 1 x y tan 1 x
x sin y x cos y x tan y
dx dx dx
cos y sin y sec 2 y
dy dy dy
dy 1 dy 1
dx cos y dx sin y
1 1
cos 2 y sin 2 y
1 1
1 sin 2 y 1 cos 2 y
1 1
1 x2 1 x2
15. Differentiating Inverse Trig
y sin 1 x y cos 1 x y tan 1 x
x sin y x cos y x tan y
dx dx dx
cos y sin y sec 2 y
dy dy dy
dy 1 dy 1 dy 1
dx cos y dx sin y dx sec 2 y
1 1
cos 2 y sin 2 y
1 1
1 sin 2 y 1 cos 2 y
1 1
1 x2 1 x2
16. Differentiating Inverse Trig
y sin 1 x y cos 1 x y tan 1 x
x sin y x cos y x tan y
dx dx dx
cos y sin y sec 2 y
dy dy dy
dy 1 dy 1 dy 1
dx cos y dx sin y dx sec 2 y
1 1 1
cos 2 y sin 2 y 1 tan 2 y
1 1 1
1 sin 2 y 1 cos 2 y 1 x2
1 1
1 x2 1 x2
19. In general;
x x
y sin1
y cos 1
a a
dy 1
dx a2 x2
20. In general;
x x
y sin1
y cos 1
a a
dy 1 dy 1
dx a2 x2 dx a2 x2
21. In general;
x x x
y sin1
y cos 1 y tan 1
a a a
dy 1 dy 1
dx a2 x2 dx a2 x2
22. In general;
x x x
y sin1
y cos 1 y tan 1
a a a
dy 1 dy 1 dy a
2
dx a2 x2 dx a2 x2 dx a x 2
23. In general;
x x x
y sin 1
y cos 1 y tan 1
a a a
dy 1 dy 1 dy a
2
dx a2 x2 dx a2 x2 dx a x 2
y sin 1 f x
24. In general;
x x x
y sin 1
y cos 1 y tan 1
a a a
dy 1 dy 1 dy a
2
dx a2 x2 dx a2 x2 dx a x 2
y sin 1 f x
dy f x
1 f x
2
dx
25. In general;
x x x
y sin 1
y cos 1 y tan 1
a a a
dy 1 dy 1 dy a
2
dx a2 x2 dx a2 x2 dx a x 2
y sin 1 f x y cos 1 f x
dy f x
1 f x
2
dx
26. In general;
x x x
y sin 1
y cos 1 y tan 1
a a a
dy 1 dy 1 dy a
2
dx a2 x2 dx a2 x2 dx a x 2
y sin 1 f x y cos 1 f x
dy f x dy f x
1 f x 1 f x
2
dx 2 dx
27. In general;
x x x
y sin 1
y cos 1 y tan 1
a a a
dy 1 dy 1 dy a
2
dx a2 x2 dx a2 x2 dx a x 2
y sin 1 f x y cos 1 f x y tan 1 f x
dy f x dy f x
1 f x 1 f x
2
dx 2 dx
28. In general;
x x x
y sin 1
y cos 1 y tan 1
a a a
dy 1 dy 1 dy a
2
dx a2 x2 dx a2 x2 dx a x 2
y sin 1 f x y cos 1 f x y tan 1 f x
dy f x dy f x dy f x
dx 1 f x
2 dx 1 f x
2
dx 1 f x 2
29. In general;
x x x
y sin 1
y cos 1 y tan 1
a a a
dy 1 dy 1 dy a
2
dx a2 x2 dx a2 x2 dx a x 2
y sin 1 f x y cos 1 f x y tan 1 f x
dy f x dy f x dy f x
dx 1 f x
2 dx 1 f x
2
dx 1 f x 2
e.g. i y sin 1 5 x
30. In general;
x x x
y sin 1
y cos 1 y tan 1
a a a
dy 1 dy 1 dy a
2
dx a2 x2 dx a2 x2 dx a x 2
y sin 1 f x y cos 1 f x y tan 1 f x
dy f x dy f x dy f x
dx 1 f x
2 dx 1 f x
2
dx 1 f x 2
e.g. i y sin 1 5 x
dy 5
dx 1 25 x 2
31. In general;
x x x
y sin 1
y cos 1 y tan 1
a a a
dy 1 dy 1 dy a
2
dx a2 x2 dx a2 x2 dx a x 2
y sin 1 f x y cos 1 f x y tan 1 f x
dy f x dy f x dy f x
dx 1 f x
2 dx 1 f x
2
dx 1 f x 2
e.g. i y sin 1 5 x ii y cos 1 e x
dy 5
dx 1 25 x 2
32. In general;
x x x
y sin 1
y cos 1 y tan 1
a a a
dy 1 dy 1 dy a
2
dx a2 x2 dx a2 x2 dx a x 2
y sin 1 f x y cos 1 f x y tan 1 f x
dy f x dy f x dy f x
dx 1 f x
2 dx 1 f x
2
dx 1 f x 2
e.g. i y sin 1 5 x ii y cos 1 e x
dy 5 dy ex
dx 1 25 x 2 dx 1 e 2 x
34. x
iii y sin
1
3
dy 1
dx 9 x2
35. x
iii y sin y sin 1
1 x
OR
3 3
dy 1
dx 9 x2
36. x
iii y sin y sin 1
1 x
OR
3 3
dy 1 1
dy
dx 9 x2 3 2
dx x
1
9
37. x
iii y sin y sin 1
1 x
OR
3 3
dy 1 1
dy
dx 9 x2 3 2
dx x
1
9
1
3
1
9 x2
3
1
9 x2
38. x
iii y sin y sin 1
1 x
OR
3 3
dy 1 1
dy
dx 9 x2 3 2
dx x
1
9
1
3
1
9 x2
3
1
iv y e cos 1 x
9 x2
39. x
iii y sin y sin 1
1 x
OR
3 3
dy 1 1
dy
dx 9 x2 3 2
dx x
1
9
1
3
1
9 x2
3
1
iv y e cos 1 x
9 x2
dy 1 cos 1 x
e
dx 1 x 2
40. x
iii y sin y sin 1
1 x
OR
3 3
dy 1 1
dy
dx 9 x2 3 2
dx x
1
9
1
3
1
9 x2
3
1
iv y e cos 1 x
9 x2
dy 1 cos 1 x
e
dx 1 x 2
cos 1 x
e
1 x2