Hl revision1101
0 likes173 views
This document contains 9 questions regarding mathematics. It includes solving equations, inequalities, systems of equations, finding the domain of functions, inverse functions, properties of arithmetic and geometric progressions, and analyzing the intersection of a circle and line. The questions cover a wide range of algebra, trigonometry, logarithms and coordinate geometry topics.
1 of 3
Download to read offline
Recommended
4 ESO Academics - Unit 03 - Exercises 4.3.4 - The Remainder Theorem. Roots of...
4 ESO Academics - Unit 03 - Exercises 4.3.4 - The Remainder Theorem. Roots of...Gogely The Great
?
The document contains math exercises involving dividing polynomials using Ruffini's rule and the remainder theorem to find the remainders, identifying coefficients based on known remainders, determining if numbers are roots of polynomials, finding integer roots of polynomials, and writing polynomials with a given root. Exercises include finding remainders of dividing polynomials by (x - a), writing a remainder without dividing, finding a coefficient given a remainder, and identifying roots, integer roots, and writing polynomials with a specified root.P cch9 sg
P cch9 sgvhiggins1
?
The document is a study guide for precalculus chapter 9. It defines key terms related to complex numbers such as absolute value, imaginary number, modulus, and polar and rectangular forms. It provides examples of converting between polar and rectangular coordinates. It also gives examples of simplifying, adding, subtracting, multiplying, dividing and taking powers of complex numbers. The student is asked to work through these examples and express answers in rectangular or polar form depending on the question.Introduction to Indices
Introduction to IndicesFellowBuddy.com
?
FellowBuddy.com is an innovative platform that brings students together to share notes, exam papers, study guides, project reports and presentation for upcoming exams.
We connect Students who have an understanding of course material with Students who need help.
Benefits:-
# Students can catch up on notes they missed because of an absence.
# Underachievers can find peer developed notes that break down lecture and study material in a way that they can understand
# Students can earn better grades, save time and study effectively
Our Vision & Mission ¨C Simplifying Students Life
Our Belief ¨C ¡°The great breakthrough in your life comes when you realize it, that you can learn anything you need to learn; to accomplish any goal that you have set for yourself. This means there are no limits on what you can be, have or do.¡±
Like Us - https://www.facebook.com/FellowBuddycom Math001 mt 061
Math001 mt 061International advisers
?
This document appears to be a midterm exam for a prep-year math course at King Fahd University of Petroleum and Minerals. It consists of 25 multiple choice questions testing various math concepts. The questions cover topics such as scientific notation, polynomials, factoring, equations, inequalities, and complex numbers. The exam is meant to test students' understanding of foundational math skills as preparation for their university studies.Mathematics 1
Mathematics 1Kimguan Tan
?
This document discusses matrix multiplication and how to determine if two matrices can be multiplied. It states that the number of columns in the left matrix must equal the number of rows in the right matrix. It then provides examples of multiplying matrices and using matrix multiplication to solve for unknown values.Lecture 5
Lecture 5FahadYaqoob5
?
This document provides an overview of lessons on polar coordinates from a Further Pure Mathematics II course. The lessons cover key concepts like plotting curves in polar form, converting between Cartesian and polar coordinates, determining maximum and minimum values of polar curves, and calculating areas bounded by polar curves. Example problems and practice questions are presented for each topic to help students learn the relevant formulas and skills.Markov number
Markov numberKabuto Yakushi
?
Markov numbers are positive integers that satisfy the Markov Diophantine equation: x2 + y2 + z2 = 3xyz. Only a few Markov numbers exist below 100, and they have been extensively studied. Key results include:
- Markov numbers satisfy several number theoretic properties like being mutually co-prime.
- The distribution of Markov numbers below a given value x has been bounded.
- The Markov and Euclid trees describe the relationships between Markov triples.
- Several theorems prove properties like uniqueness of Markov numbers under certain conditions.Difference of Two Squares
Difference of Two SquaresLorie Jane Letada
?
This document provides instructions on factoring polynomials using the difference of two squares formula. It begins with the objectives and a review of perfect squares. It then presents the difference of two squares formula a2 - b2 = (a - b)(a + b) and provides examples of factoring expressions like x2 - 25 and 3x2 - 75 using this formula. The document stresses that for an expression to be factorable as a difference of two squares, it must be a binomial with two terms that are perfect squares separated by a subtraction sign. It provides a table for students to identify whether additional expressions can be factorized this way. In the conclusion, it summarizes the key things to remember about factoring the difference ofExp log equations
Exp log equationschagdarjav
?
This document discusses solving equations involving exponentials and logarithms. It provides examples of solving equations with:
1) Exponentials on both sides by taking the log of both sides.
2) Exponentials with different bases by taking the natural log of both sides.
3) Logarithms on both sides by exponentiating both sides.
4) Checking solutions for logarithmic equations to avoid extraneous solutions from properties of logs only being valid for positive inputs.Class X1 assignment of chapters 1,3,4,5
Class X1 assignment of chapters 1,3,4,5KarunaGupta1982
?
This document provides 25 math problems across various topics for students to complete as part of their class assignment. The problems cover topics like sets, trigonometry, complex numbers, and polar forms. Students are asked to perform tasks like writing sets in set-builder form, finding intersections and unions of sets, solving trigonometric equations, working with complex numbers, and evaluating expressions in polar form.Quadratic Formula
Quadratic Formulaswartzje
?
The document discusses solving quadratic equations using the quadratic formula. It provides the general form of a quadratic equation as ax2 + bx + c = 0 and introduces the quadratic formula as x = (-b ¡À ¡Ì(b2 - 4ac))/2a. Several examples of using the quadratic formula to solve quadratic equations are shown step-by-step with explanations of each step. The examples illustrate determining the a, b, and c coefficients and performing the calculations to find the roots of the equations.1557 logarithm
1557 logarithmDr Fereidoun Dejahang
?
Mathematics (from Greek ¦Ì?¦È¦Ç¦Ì¦Á m¨¢th¨¥ma, ¡°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 mathematics12 mmd11 applied mathematics - june, july 2013
12 mmd11 applied mathematics - june, july 2013Dover Solutions India
?
This document contains 8 questions regarding numerical analysis methods. Question 1 asks to explain different types of errors in calculations. Question 2 asks to find the maximum relative error in a function given errors in its variables. Question 3 asks to perform iterations of the Muller method to find a root of an equation. Question 4 asks to find derivatives of a function from given data and evaluate an integral using Romberg's method.Gr 10 absolute value functions and graphs
Gr 10 absolute value functions and graphsChadwick International School
?
The document discusses absolute value functions and graphs. It defines the vertex as the maximum or minimum of the graph. Examples are given to identify the vertex of different absolute value functions and how to graph them by making a table. The key aspects are to find the vertex, make a table of values with at least 5 points, and graph the function by connecting the points. Similarities and differences between graphs are noted. Additional examples graph different absolute value functions.F2 algebraic expression ii
F2 algebraic expression iiCik Ho(²Ê±ò) SMK Tunku Putra Batu Pahat
?
This document provides examples and practice problems for algebraic expressions involving products, quotients, and simplification of expressions with variables. It covers finding products and quotients of expressions with variables. It also covers simplifying expressions by combining like terms, distributing operations, and factoring. The document aims to help students master skills in working with algebraic expressions.Properties of tangents to circles
Properties of tangents to circlesMartinGeraldine
?
- If a line is perpendicular to the radius of a circle at its outer end, then the line is tangent to the circle.
- If a line is tangent to a circle, then it is perpendicular to the radius at the point of tangency.
- If two segments from the same exterior point are tangent to a circle, then they are congruent.Day 9 examples u4f13
Day 9 examples u4f13jchartiersjsd
?
This document contains 5 math problems: converting 50 degrees to radians, stating the coordinates for the point P(3,1/6), giving a value for theta between pi and 3pi, giving a negative coterminal angle of 13pi/6, and identifying two trigonometric functions.4.1 matrices
4.1 matricesRoiamah Basri
?
The document discusses properties of matrix addition and scalar multiplication. It explains that to add matrices, we add corresponding elements and the matrices must have the same dimensions. Scalar multiplication involves multiplying each element of the matrix by the scalar. Some key properties covered are:
- To add matrices, we add corresponding elements and matrices must have the same dimensions.
- Scalar multiplication involves multiplying each element of the matrix by the scalar.
- Properties of addition like commutativity and distributivity apply, but multiplication is not included.Ds lec 5_chap4
Ds lec 5_chap4Self-Employed
?
This document discusses several graph theory concepts including:
- A connected undirected graph contains a simple path between any two vertices.
- Cut vertices and edges divide a graph into more components upon removal.
- Euler circuits and paths visit every edge exactly once in a connected multigraph.
- Planar graphs can be drawn in a plane without edge crossings.
- Graph coloring assigns colors to vertices such that no adjacent vertices share a color.Ds presentation1
Ds presentation1Irfan Khan
?
This document discusses the topic of combinatorics. It defines combinatorics as a branch of mathematics concerned with counting problems, arrangements, and derangements. The two main rules in combinatorics are the sum rule, which is used when events cannot occur simultaneously, and the product rule, which is used when events are independent. Examples of applying the sum and product rules to problems involving selecting students and choosing outfits are provided. The document also covers permutations, combinations, the binomial theorem, and binomial coefficients.Matlab lecture 7 ¨C regula falsi or false position method@taj
Matlab lecture 7 ¨C regula falsi or false position method@tajTajim Md. Niamat Ullah Akhund
?
Matlab lecture 7 ¨C regula falsi or false position method@taj
.
This lecture is from my class lectures in IIT-JU.
.
Find me:
Website: https://www.tajimiitju.blogspot.com
Linked in: https://www.linkedin.com/in/tajimiitju
Researchgate: https://www.researchgate.net/profile/Tajim_Md_Niamat_Ullah_Akhund
Youtube: https://www.youtube.com/tajimiitju?sub_confirmation=1
ºÝºÝߣshare: /TajimMdNiamatUllahAk
Facebook: https://www.facebook.com/tajim.mohammad
Gitlab: https://gitlab.com/users/tajimiitju
Google+: plus.google.com/+tajimiitju
Email: tajim.mohammad.3@gmail.com
Twitter: https://twitter.com/Tajim535.3 Solving Quadratics by Finding Square Roots
5.3 Solving Quadratics by Finding Square Rootshisema01
?
This document discusses solving quadratic equations by taking square roots. It covers the definition and properties of square roots, including the product and quotient properties. It then demonstrates how to simplify radical expressions using these properties. Finally, it shows how to solve quadratic equations by taking the square root of both sides and using sign notation. Examples are provided for each concept along with practice problems for the reader.presentation about set theorem
presentation about set theoremMD.EASIN ARAFAT CHOWDHURY
?
The document discusses the history and concepts of set theory. It notes that the theory of sets was developed by German mathematician Georg Cantor in the late 19th century while working on trigonometric series. Several universal and component sets are defined and operations like union and intersection are performed on these sets. Examples of specifying sets using logical conditions are also presented.Algebra 7 Point 6
Algebra 7 Point 6herbison
?
1) This document discusses different techniques for factoring polynomials completely into their prime factors.
2) It provides examples of factoring polynomials using the greatest common factor, recognizing special cases like the difference of squares, and factoring trinomials that are perfect squares or can be written as the product of two binomials.
3) The reader is given examples of completely factoring various polynomials and is instructed to complete additional practice problems at the end.N5 unit 2 homeworks
N5 unit 2 homeworkssjamaths
?
This document contains summaries of three separate math homework assignments on similar topics:
1) The first assignment covers similar shapes and asks students to calculate values in diagrams and solve problems.
2) The second assignment involves solving systems of simultaneous equations and finding the point of intersection of two lines.
3) The third assignment covers quadratics and asks students to write equations of parabolas based on diagrams, find maximum/minimum points, intercepts, and solve quadratic equations algebraically and using the quadratic formula.College algebra real mathematics real people 7th edition larson solutions manual
College algebra real mathematics real people 7th edition larson solutions manualJohnstonTBL
?
This document contains information about the College Algebra Real Mathematics Real People 7th Edition Larson textbook including:
- A link to download the solutions manual and test bank for the textbook
- An overview of the content covered in Chapter 2 on solving equations and inequalities, including linear equations, identities, conditionals, and more.
- 51 example problems from Chapter 2 with step-by-step solutions.Ceramah Add Mth
Ceramah Add MthHayati Aini Ahmad
?
This document provides guidance on solving additional mathematics problems and preparing for the additional mathematics paper 1 and paper 2 exams. It discusses exam formats, common mistakes students make, key strategies for achieving high marks, and examples of solved exam questions. The document emphasizes understanding the problem, planning a strategy, checking answers, and showing working clearly. It also provides tips on time management and the types of questions that may appear.Add Maths Module
Add Maths Modulebspm
?
The composite function is gf(x) = 2x - 2. We are given f(x) = 2 - x. To find g, let f(x) = u in gf(x). Then u = 2 - x. Substitute u = 2 - x in gf(x) = 2u - 2. This gives g(x) = 2 - 2x. Therefore, fg(x) = f(2 - 2x) = (2 - (2 - 2x)) = 2x - 2.Calculus First Test 2011/10/20
Calculus First Test 2011/10/20Kuan-Lun Wang
?
This document contains the work of a student on a calculus test. It includes:
1) Solving limits, finding derivatives, and applying L'Hopital's rule.
2) Using induction to prove an identity.
3) Providing epsilon-delta proofs of limits.
4) Finding where a tangent line is parallel to a secant line.
5) Proving statements about limits of functions.
The student provides detailed solutions showing their work for each problem on the test.Educell Maths Sample
Educell Maths Samplesracy.com
?
This section contains multiple choice questions in straight objective type format. There are 9 questions testing concepts related to mathematics, including functions, geometry, probability, limits, and differential equations. The document also includes an assertion-reason type question and a comprehension section containing word problems and geometry concepts related to engineering drawing.More Related Content
What's hot (17)
Exp log equations
Exp log equationschagdarjav
?
This document discusses solving equations involving exponentials and logarithms. It provides examples of solving equations with:
1) Exponentials on both sides by taking the log of both sides.
2) Exponentials with different bases by taking the natural log of both sides.
3) Logarithms on both sides by exponentiating both sides.
4) Checking solutions for logarithmic equations to avoid extraneous solutions from properties of logs only being valid for positive inputs.Class X1 assignment of chapters 1,3,4,5
Class X1 assignment of chapters 1,3,4,5KarunaGupta1982
?
This document provides 25 math problems across various topics for students to complete as part of their class assignment. The problems cover topics like sets, trigonometry, complex numbers, and polar forms. Students are asked to perform tasks like writing sets in set-builder form, finding intersections and unions of sets, solving trigonometric equations, working with complex numbers, and evaluating expressions in polar form.Quadratic Formula
Quadratic Formulaswartzje
?
The document discusses solving quadratic equations using the quadratic formula. It provides the general form of a quadratic equation as ax2 + bx + c = 0 and introduces the quadratic formula as x = (-b ¡À ¡Ì(b2 - 4ac))/2a. Several examples of using the quadratic formula to solve quadratic equations are shown step-by-step with explanations of each step. The examples illustrate determining the a, b, and c coefficients and performing the calculations to find the roots of the equations.1557 logarithm
1557 logarithmDr Fereidoun Dejahang
?
Mathematics (from Greek ¦Ì?¦È¦Ç¦Ì¦Á m¨¢th¨¥ma, ¡°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 mathematics12 mmd11 applied mathematics - june, july 2013
12 mmd11 applied mathematics - june, july 2013Dover Solutions India
?
This document contains 8 questions regarding numerical analysis methods. Question 1 asks to explain different types of errors in calculations. Question 2 asks to find the maximum relative error in a function given errors in its variables. Question 3 asks to perform iterations of the Muller method to find a root of an equation. Question 4 asks to find derivatives of a function from given data and evaluate an integral using Romberg's method.Gr 10 absolute value functions and graphs
Gr 10 absolute value functions and graphsChadwick International School
?
The document discusses absolute value functions and graphs. It defines the vertex as the maximum or minimum of the graph. Examples are given to identify the vertex of different absolute value functions and how to graph them by making a table. The key aspects are to find the vertex, make a table of values with at least 5 points, and graph the function by connecting the points. Similarities and differences between graphs are noted. Additional examples graph different absolute value functions.F2 algebraic expression ii
F2 algebraic expression iiCik Ho(²Ê±ò) SMK Tunku Putra Batu Pahat
?
This document provides examples and practice problems for algebraic expressions involving products, quotients, and simplification of expressions with variables. It covers finding products and quotients of expressions with variables. It also covers simplifying expressions by combining like terms, distributing operations, and factoring. The document aims to help students master skills in working with algebraic expressions.Properties of tangents to circles
Properties of tangents to circlesMartinGeraldine
?
- If a line is perpendicular to the radius of a circle at its outer end, then the line is tangent to the circle.
- If a line is tangent to a circle, then it is perpendicular to the radius at the point of tangency.
- If two segments from the same exterior point are tangent to a circle, then they are congruent.Day 9 examples u4f13
Day 9 examples u4f13jchartiersjsd
?
This document contains 5 math problems: converting 50 degrees to radians, stating the coordinates for the point P(3,1/6), giving a value for theta between pi and 3pi, giving a negative coterminal angle of 13pi/6, and identifying two trigonometric functions.4.1 matrices
4.1 matricesRoiamah Basri
?
The document discusses properties of matrix addition and scalar multiplication. It explains that to add matrices, we add corresponding elements and the matrices must have the same dimensions. Scalar multiplication involves multiplying each element of the matrix by the scalar. Some key properties covered are:
- To add matrices, we add corresponding elements and matrices must have the same dimensions.
- Scalar multiplication involves multiplying each element of the matrix by the scalar.
- Properties of addition like commutativity and distributivity apply, but multiplication is not included.Ds lec 5_chap4
Ds lec 5_chap4Self-Employed
?
This document discusses several graph theory concepts including:
- A connected undirected graph contains a simple path between any two vertices.
- Cut vertices and edges divide a graph into more components upon removal.
- Euler circuits and paths visit every edge exactly once in a connected multigraph.
- Planar graphs can be drawn in a plane without edge crossings.
- Graph coloring assigns colors to vertices such that no adjacent vertices share a color.Ds presentation1
Ds presentation1Irfan Khan
?
This document discusses the topic of combinatorics. It defines combinatorics as a branch of mathematics concerned with counting problems, arrangements, and derangements. The two main rules in combinatorics are the sum rule, which is used when events cannot occur simultaneously, and the product rule, which is used when events are independent. Examples of applying the sum and product rules to problems involving selecting students and choosing outfits are provided. The document also covers permutations, combinations, the binomial theorem, and binomial coefficients.Matlab lecture 7 ¨C regula falsi or false position method@taj
Matlab lecture 7 ¨C regula falsi or false position method@tajTajim Md. Niamat Ullah Akhund
?
Matlab lecture 7 ¨C regula falsi or false position method@taj
.
This lecture is from my class lectures in IIT-JU.
.
Find me:
Website: https://www.tajimiitju.blogspot.com
Linked in: https://www.linkedin.com/in/tajimiitju
Researchgate: https://www.researchgate.net/profile/Tajim_Md_Niamat_Ullah_Akhund
Youtube: https://www.youtube.com/tajimiitju?sub_confirmation=1
ºÝºÝߣshare: /TajimMdNiamatUllahAk
Facebook: https://www.facebook.com/tajim.mohammad
Gitlab: https://gitlab.com/users/tajimiitju
Google+: plus.google.com/+tajimiitju
Email: tajim.mohammad.3@gmail.com
Twitter: https://twitter.com/Tajim535.3 Solving Quadratics by Finding Square Roots
5.3 Solving Quadratics by Finding Square Rootshisema01
?
This document discusses solving quadratic equations by taking square roots. It covers the definition and properties of square roots, including the product and quotient properties. It then demonstrates how to simplify radical expressions using these properties. Finally, it shows how to solve quadratic equations by taking the square root of both sides and using sign notation. Examples are provided for each concept along with practice problems for the reader.presentation about set theorem
presentation about set theoremMD.EASIN ARAFAT CHOWDHURY
?
The document discusses the history and concepts of set theory. It notes that the theory of sets was developed by German mathematician Georg Cantor in the late 19th century while working on trigonometric series. Several universal and component sets are defined and operations like union and intersection are performed on these sets. Examples of specifying sets using logical conditions are also presented.Algebra 7 Point 6
Algebra 7 Point 6herbison
?
1) This document discusses different techniques for factoring polynomials completely into their prime factors.
2) It provides examples of factoring polynomials using the greatest common factor, recognizing special cases like the difference of squares, and factoring trinomials that are perfect squares or can be written as the product of two binomials.
3) The reader is given examples of completely factoring various polynomials and is instructed to complete additional practice problems at the end.N5 unit 2 homeworks
N5 unit 2 homeworkssjamaths
?
This document contains summaries of three separate math homework assignments on similar topics:
1) The first assignment covers similar shapes and asks students to calculate values in diagrams and solve problems.
2) The second assignment involves solving systems of simultaneous equations and finding the point of intersection of two lines.
3) The third assignment covers quadratics and asks students to write equations of parabolas based on diagrams, find maximum/minimum points, intercepts, and solve quadratic equations algebraically and using the quadratic formula.Similar to Hl revision1101 (20)
College algebra real mathematics real people 7th edition larson solutions manual
College algebra real mathematics real people 7th edition larson solutions manualJohnstonTBL
?
This document contains information about the College Algebra Real Mathematics Real People 7th Edition Larson textbook including:
- A link to download the solutions manual and test bank for the textbook
- An overview of the content covered in Chapter 2 on solving equations and inequalities, including linear equations, identities, conditionals, and more.
- 51 example problems from Chapter 2 with step-by-step solutions.Ceramah Add Mth
Ceramah Add MthHayati Aini Ahmad
?
This document provides guidance on solving additional mathematics problems and preparing for the additional mathematics paper 1 and paper 2 exams. It discusses exam formats, common mistakes students make, key strategies for achieving high marks, and examples of solved exam questions. The document emphasizes understanding the problem, planning a strategy, checking answers, and showing working clearly. It also provides tips on time management and the types of questions that may appear.Add Maths Module
Add Maths Modulebspm
?
The composite function is gf(x) = 2x - 2. We are given f(x) = 2 - x. To find g, let f(x) = u in gf(x). Then u = 2 - x. Substitute u = 2 - x in gf(x) = 2u - 2. This gives g(x) = 2 - 2x. Therefore, fg(x) = f(2 - 2x) = (2 - (2 - 2x)) = 2x - 2.Calculus First Test 2011/10/20
Calculus First Test 2011/10/20Kuan-Lun Wang
?
This document contains the work of a student on a calculus test. It includes:
1) Solving limits, finding derivatives, and applying L'Hopital's rule.
2) Using induction to prove an identity.
3) Providing epsilon-delta proofs of limits.
4) Finding where a tangent line is parallel to a secant line.
5) Proving statements about limits of functions.
The student provides detailed solutions showing their work for each problem on the test.Educell Maths Sample
Educell Maths Samplesracy.com
?
This section contains multiple choice questions in straight objective type format. There are 9 questions testing concepts related to mathematics, including functions, geometry, probability, limits, and differential equations. The document also includes an assertion-reason type question and a comprehension section containing word problems and geometry concepts related to engineering drawing.C3 January 2012 QP
C3 January 2012 QPanicholls1234
?
This document provides information about a Core Mathematics C3 exam taken by Edexcel students. It includes instructions for students taking the exam, information about materials allowed and provided, and 8 questions testing various calculus, geometry, and trigonometry concepts. The exam is 1 hour and 30 minutes long and contains a total of 75 marks across the 8 questions. Students are advised to show their working clearly and label answers to parts of questions.Algebreviewer
AlgebreviewerAngelina Pascua Lumbre
?
This document provides a review for algebra sections on various topics including:
1) Solving word problems involving equations with one unknown variable.
2) Finding sums, differences, and ratios of numbers.
3) Representing word problems using tables and equations.
4) Solving uniform motion problems using tables, diagrams, and the appropriate equation based on the type of motion described.
5) Graphing linear equations and finding slopes of lines from equations or two points.
6) Writing equations of lines in different forms given information like slopes, intercepts, or two points.Algebreviewer
AlgebreviewerAngelina Pascua Lumbre
?
This document provides a review for algebra sections on various topics including:
1) Solving word problems involving equations with one unknown variable.
2) Finding sums, differences, and ratios of numbers.
3) Representing word problems using tables and equations.
4) Solving uniform motion problems using tables, diagrams, and the appropriate equation based on the type of motion described.
5) Graphing linear equations and finding slopes of lines from equations or two points.
6) Writing equations of lines in different forms given information like slopes, intercepts, or two points.Up1 math t 2012
Up1 math t 2012masyati
?
The document is a mathematics test for a pre-university class containing two sections - Section A with 6 multiple choice questions worth a total of 45 marks, and Section B with two extended response questions worth 15 marks each. Question 1 in Section A asks students to express a fraction in partial fractions, question 2 asks them to express a trigonometric expression in an alternative form and solve an equation, and subsequent questions cover logarithms, inequalities, trigonometric substitutions, and factorizing polynomials. Section B offers two word problems, one involving composite functions and another involving factorizing a polynomial based on given information.Bt0063 mathematics fot it
Bt0063 mathematics fot itnimbalkarks
?
This model question paper contains 55 questions divided into two parts for the subject Mathematics for IT. Part A contains one mark questions in multiple choice format covering topics like sets, relations, functions, limits, derivatives, integrals and mathematical statements. Part B contains 2 mark questions involving concepts like sets, logic, trigonometry, limits, derivatives and integrals that need to be solved. The question paper tests the understanding of core mathematical concepts required for an IT program through multiple choice and theoretical questions.AMU - Mathematics - 2007
AMU - Mathematics - 2007Vasista Vinuthan
?
The document contains 38 multiple choice questions from an unsolved mathematics past paper from 2007. The questions cover topics such as functions, relations, complex numbers, logarithms, trigonometry, matrices, integrals, conic sections, and coordinate geometry.solving a trig problem and sketching a graph example problems
solving a trig problem and sketching a graph example problemsTyler Murphy
?
We go through (in great detail) a problem involving solving a trig problem and a problem involving sketching a graphVIT - Mathematics -2010 Unsolved Paper
VIT - Mathematics -2010 Unsolved PaperVasista Vinuthan
?
The document is an unsolved mathematics past paper from 2010 containing 33 multiple choice questions. The questions cover a range of mathematics topics including functions, sets, sequences and series, coordinate geometry, trigonometry, calculus, and vectors.10thmaths online(e)
10thmaths online(e)Ravindrareddy Sangu
?
The document is a model paper for a 10th class mathematics examination. It contains 4 sections with a total of 50 marks. Section 1 has 2 groups with 5 questions each worth 2 marks. Section 2 has 4 questions worth 1 mark each. Section 3 has 4 questions from 2 groups worth 4 marks each. Section 4 has 2 questions worth 5 marks each. The paper tests concepts in sets, functions, trigonometry, arithmetic progressions, statistics and coordinate geometry. It provides examples of questions, expected length of responses and distribution of marks across the sections.Algebra practice paper
Algebra practice paperAnkit Bhatnagar
?
1. This document provides a practice work assignment for a senior secondary course in mathematics. It contains 14 multiple part questions testing a variety of algebra skills.
2. Students are instructed to show their work on separate paper, including their identifying information, and have their teacher check their work for feedback before submitting.
3. The questions cover topics like solving systems of equations, roots of polynomials, mathematical induction, and maximizing profit in an industrial problem.Circles - analysis problems
Circles - analysis problemsLeo Crisologo
?
This document provides examples and explanations for analyzing problems involving circles. It begins by working through an example of finding the equation of a circle tangent to a given line with a specified center. It then discusses using an algebraic approach to find the standard equation of a circle passing through three given points by setting up three equations and solving simultaneously for the center and radius. Finally, it covers using a geometric approach involving finding the perpendicular bisectors of chord midpoints and their intersection to determine the circle's center. The document aims to demonstrate different methods for solving circle geometry problems.Functionworksheet1
Functionworksheet1Hansraj Singh
?
1. The document contains 20 multi-part math problems involving functions, equations, inequalities, exponents, and logarithms. The problems cover topics like finding domains and ranges of functions, solving equations and inequalities, finding inverse functions, and composition of functions.
2. Contact information is provided at the top for Ersingh with an email of ersingh@hotmail.com regarding higher level mathematics.
3. The problems are presented without explanations and involve advanced concepts requiring mathematical reasoning and problem solving skills to arrive at the solutions.Form 4 Add Maths Note
Form 4 Add Maths NoteChek Wei Tan
?
This document provides notes on functions and quadratic equations from Additional Mathematics Form 4. It includes:
1) Definitions of functions, including function notation f(x) and the relationship between objects and images.
2) Methods for solving quadratic equations, including factorisation, completing the square, and the quadratic formula.
3) Properties of quadratic functions like finding the maximum/minimum value and sketching the graph.
4) Solving simultaneous equations involving one linear and one non-linear equation through substitution.
5) Conversions between index and logarithmic forms and basic logarithm laws.Form 4-add-maths-note
Form 4-add-maths-notejacey tan
?
This document provides notes on key concepts in additional mathematics including:
1) Functions such as f(x) = x + 3 and finding the object and image of a function.
2) Solving quadratic equations using factorisation and the quadratic formula. Types of roots are discussed.
3) Sketching quadratic functions by finding the y-intercept, maximum/minimum values, and a third point. Quadratic inequalities are also covered.
4) Methods for solving simultaneous equations including substitution when one equation is nonlinear.
5) Properties of exponents and logarithms, and how to solve exponential and logarithmic equations.AMU - Mathematics - 2006
AMU - Mathematics - 2006Vasista Vinuthan
?
The document contains 43 math problems from an unsolved past paper on mathematics. The problems cover topics such as algebra, geometry, trigonometry, calculus, and matrices. For each problem, 4 possible answers are provided labeled a, b, c, or d but without showing the solutions.Recently uploaded (20)
Apache CloudStack 101 - Introduction, What¡¯s New and What¡¯s Coming
Apache CloudStack 101 - Introduction, What¡¯s New and What¡¯s ComingShapeBlue
?
This session provided an introductory overview of CloudStack, covering its core features, architecture, and practical use cases. Attendees gained insights into how CloudStack simplifies cloud orchestration, supports multiple hypervisors, and integrates seamlessly with existing IT infrastructures.
--
The CloudStack European User Group 2025 took place on May 8th in Vienna, Austria. The event once again brought together open-source cloud professionals, contributors, developers, and users for a day of deep technical insights, knowledge sharing, and community connection.MuleSoft RTF & Flex Gateway on AKS ¨C Setup, Insights & Real-World Tips
MuleSoft RTF & Flex Gateway on AKS ¨C Setup, Insights & Real-World TipsPatryk Bandurski
?
This presentation was delivered during the Warsaw MuleSoft Meetup in April 2025.
Paulina Uhman (PwC Polska) shared her hands-on experience running MuleSoft Runtime Fabric (RTF) and Flex Gateway on Azure Kubernetes Service (AKS).
The deck covers:
What happens after installation (pods, services, and artifacts demystified)
Shared responsibility model: MuleSoft vs Kubernetes
Real-world tips for configuring connectivity
Key Kubernetes commands for troubleshooting
Lessons learned from practical use cases
?? Hosted by: Patryk Bandurski, MuleSoft Ambassador & Meetup Leader
? Presented by: Paulina Uhman, Integration Specialist @ PwC PolskaPushing the Limits: CloudStack at 25K Hosts
Pushing the Limits: CloudStack at 25K HostsShapeBlue
?
Boris Stoyanov took a look at a load testing exercise conducted in the lab. Discovered how CloudStack performs with 25,000 hosts as we explore response times, performance challenges, and the code improvements needed to scale effectively
--
The CloudStack European User Group 2025 took place on May 8th in Vienna, Austria. The event once again brought together open-source cloud professionals, contributors, developers, and users for a day of deep technical insights, knowledge sharing, and community connection.AI in Java - MCP in Action, Langchain4J-CDI, SmallRye-LLM, Spring AI
AI in Java - MCP in Action, Langchain4J-CDI, SmallRye-LLM, Spring AIBuhake Sindi
?
This is the presentation I gave with regards to AI in Java, and the work that I have been working on. I've showcased Model Context Protocol (MCP) in Java, creating server-side MCP server in Java. I've also introduced Langchain4J-CDI, previously known as SmallRye-LLM, a CDI managed too to inject AI services in enterprise Java applications. Also, honourable mention: Spring AI.Managing Geospatial Open Data Serverlessly [AWS Community Day CH 2025]![Managing Geospatial Open Data Serverlessly [AWS Community Day CH 2025]](https://cdn.slidesharecdn.com/ss_thumbnails/managinggeospatialopendataserverlesslyawscommunitydaych2025-250521152228-1e59a40c-thumbnail.jpg?width=560&fit=bounds)
Managing Geospatial Open Data Serverlessly [AWS Community Day CH 2025]Chris Bingham
?
At the AWS Community Day 2025 in Dietlikon I presented a journey through the technical successes, service issues, and open-source perils that have made up the paddelbuch.ch story. With the goal of a zero-ops, (nearly) zero-cost system, serverless was the apparent technology approach. However, this was not without its ups and downs! AI needs Hybrid Cloud - TEC conference 2025.pptx
AI needs Hybrid Cloud - TEC conference 2025.pptxShikha Srivastava
?
Engaging interactive session at the Carolina TEC Conference¡ªhad a great time presenting the intersection of AI and hybrid cloud, and discussing the exciting momentum the #HashiCorp acquisition brings to #IBM."Building Connected Agents: An Overview of Google's ADK and A2A Protocol
Building Connected Agents: An Overview of Google's ADK and A2A ProtocolSuresh Peiris
?
Google's Agent Development Kit (ADK) provides a framework for building AI agents, including complex multi-agent systems. It offers tools for development, deployment, and orchestration.
Complementing this, the Agent2Agent (A2A) protocol is an open standard by Google that enables these AI agents, even if from different developers or frameworks, to communicate and collaborate effectively. A2A allows agents to discover each other's capabilities and work together on tasks.
In essence, ADK helps create the agents, and A2A provides the common language for these connected agents to interact and form more powerful, interoperable AI solutions.Proposed Feature: Monitoring and Managing Cloud Usage Costs in Apache CloudStack
Proposed Feature: Monitoring and Managing Cloud Usage Costs in Apache CloudStackShapeBlue
?
DIMSI showcased a proposed feature to help CloudStack users capitalize on cloud usage metrics out of the box. Gregoire Lamodiere and Joffrey Luangsaysana explored the need for improved visibility into cloud consumption metrics for both administrators and end users. They invited input and insights from the Apache CloudStack community regarding the proposal, fostering collaborative dialogue to refine the feature and ensure it meets the community's needs.
--
The CloudStack European User Group 2025 took place on May 8th in Vienna, Austria. The event once again brought together open-source cloud professionals, contributors, developers, and users for a day of deep technical insights, knowledge sharing, and community connection.TAFs on WebDriver API - By - Pallavi Sharma.pdf
TAFs on WebDriver API - By - Pallavi Sharma.pdfPallavi Sharma
?
This Presentation details different test automation frameworks available on Selenium WebDriver, and some directly on WebDriver. PSEP - Salesforce Power of the Platform.pdf
PSEP - Salesforce Power of the Platform.pdfssuser3d62c6
?
This PDF document is a presentation for the Salesforce Partner Success Enablement Program (PSEP), focusing on the "Power of the Platform." It highlights Salesforce¡¯s core platform capabilities, including customization, integration, automation, and scalability. The deck demonstrates how partners can leverage Salesforce¡¯s robust tools and ecosystem to build innovative business solutions, accelerate digital transformation, and drive customer success. It serves as an educational resource to empower partners with knowledge about the platform¡¯s strengths and best practices for solution development and deployment.
SQL Database Design For Developers at PhpTek 2025.pptx
SQL Database Design For Developers at PhpTek 2025.pptxScott Keck-Warren
?
Databases are the magic box in a lot of our workflows and in this presentation I show you my rules for better database designMCP Dev Summit - Pragmatic Scaling of Enterprise GenAI with MCP
MCP Dev Summit - Pragmatic Scaling of Enterprise GenAI with MCPSambhav Kothari
?
MCP Dev Summit Talk By Sambhav Kothari - Head of AI Productivity at Bloomberg. Planetek Italia Corporate Profile Brochure
Planetek Italia Corporate Profile BrochurePlanetek Italia Srl
?
Planetek Italia is an Italian Benefit Company established in 1994, which employs 130+ women and men, passionate and skilled in Geoinformatics, Space solutions, and Earth science.
We provide solutions to exploit the value of geospatial data through all phases of data life cycle. We operate in many application areas ranging from environmental and land monitoring to open-government and smart cities, and including defence and security, as well as Space exploration and EO satellite missions.
Wondershare Filmora 14.3.2 Crack + License Key Free for Windows PC
Wondershare Filmora 14.3.2 Crack + License Key Free for Windows PCMudasir
?
COPY & PASTE LINK ???
https://pcsoftsfull.org/dl
Wondershare Filmora for Windows PC is an all-in-one home video editor with powerful functionality and a fully stacked feature set. Filmora has a simple drag-and-droptop interface, allowing you to be artistic with the story you want to create.
Build your own NES Emulator... with Kotlin
Build your own NES Emulator... with KotlinArtur Skowro¨½ski
?
For those who have ever wanted to recreate classic games, this presentation covers my five-year journey to build a NES emulator in Kotlin. Starting from scratch in 2020 (you can probably guess why), I¡¯ll share the challenges posed by the architecture of old hardware, performance optimization (surprise, surprise), and the difficulties of emulating sound. I¡¯ll also highlight which Kotlin features shine (and why concurrency isn¡¯t one of them). This high-level overview will walk through each step of the process¡ªfrom reading ROM formats to where GPT can help, though it won¡¯t write the code for us just yet. We¡¯ll wrap up by launching Mario on the emulator (hopefully without a call from Nintendo).Agentic AI, A Business Overview - May 2025
Agentic AI, A Business Overview - May 2025Peter Morgan
?
Overview of developments in Agentic AI. Includes definition, technology and business developments, benefits and risks, plus references.Stretching CloudStack over multiple datacenters
Stretching CloudStack over multiple datacentersShapeBlue
?
In Apache CloudStack, zones are typically perceived as single datacenters. But what if you need to extend your CloudStack deployment across multiple datacenters? How can you seamlessly distribute and migrate virtual machines across them? In this session, Wido den Hollander explored strategies, best practices, and real-world considerations for achieving a multi-datacenter CloudStack setup.
--
The CloudStack European User Group 2025 took place on May 8th in Vienna, Austria. The event once again brought together open-source cloud professionals, contributors, developers, and users for a day of deep technical insights, knowledge sharing, and community connection.
A simple Introduction to Algorithmic Fairness
A simple Introduction to Algorithmic FairnessPaolo Missier
?
Algorithmic bias and its effect on Machine Learning models.
Simple fairness metrics and how to achieve them by fixing either the data, the model, or bothFour Principles for Physically Interpretable World Models (poster)
Four Principles for Physically Interpretable World Models (poster)Ivan Ruchkin
?
Presented by:
- Jordan Peper and Ivan Ruchkin at ICRA 2025 https://2025.ieee-icra.org/
- Yuang Geng and Ivan Ruchkin at NeuS 2025 https://neus-2025.github.io/
Paper: https://openreview.net/forum?id=bPAIelioYq
Abstract: As autonomous robots are increasingly deployed in open and uncertain settings, there is a growing need for trustworthy world models that can reliably predict future high-dimensional observations. The learned latent representations in world models lack direct mapping to meaningful physical quantities and dynamics, limiting their utility and interpretability in downstream planning, control, and safety verification. In this paper, we argue for a fundamental shift from physically informed to physically interpretable world models ¡ª and crystallize four principles that leverage symbolic knowledge to achieve these ends:
1. Structuring latent spaces according to the physical intent of variables
2. Learning aligned invariant and equivariant representations of the physical world
3. Adapting training to the varied granularity of supervision signals
4. Partitioning generative outputs to support scalability and verifiability.
We experimentally demonstrate the value of each principle on two benchmarks. This paper opens intriguing directions to achieve and capitalize on full physical interpretability in world models.
Hl revision1101
- 1. +919699990699,ersingh@hotmail.com HL 1. Find the domain of the following functions 5? 2 a. log 4 b. 4 ? + ? 5 c. log 2(log 2 (log2 )) 2. Solve the following inequalities without using GDC a. 2 ? 5 < 6 b. 2 ? 2 ? 8 > 2 2?3 c. (.2) ?2 > 5 3. Solve the following equations a. log ?1 3 = 2 b. log 3(1 + log 3 (2 ? 7)) = 1 c. log 3 3 ? 8 = 2 ? 4. Solve the system of equations log 4 ? log 2 = 0 a. 2 ? 4 2 + 4 = 0 log + log = 2.5 b. = 27 5. Solve the following equation a. 2 + 21? ? 3 = 0 2 +2 ?3 b. 2 +1 <0 Hansraj Sir (B.Tcech,Comp Sc. &Engg), IGCSE,A-LEVEL,IBDP,UNEVERSITIES(LSE,CU,NYU,UCL,......) Maths , Science, Computing
- 2. +919699990699,ersingh@hotmail.com HL 6. The circle have equation 2 + 2 + 4 ? 6 = 7 The line with equation = ? 3 intersects the circle. a. Show that x-coordinates of any point of intersection satisfy the equation 1 + 2 2 + 4 1 ? 3 + 20 = 0 b. Show that the quadratic equation have equal roots when 22 ? 3 ? 2 = 0 c. Hence find the values of m for which the line is tangent to the circle. 7. The quadratic function = + ? 2 has a maximum value of 5 When = 3 a. Find the value of p and the value of q. b. The graph of () is translated 3 unit in the positive direction parallel to the x-axis. Determine the equation of the new graph. M11/MATHL/HP1/TZ2 8. 1 A function is defined by ? = 2 ? . Find ??1 (). M11/MATHL/HP1/TZ2 9. An A.P. has first term a and common difference d . The thirds fourth and seventh Terms of A.P. are first three term of the G.P. 3 a. Show that = ? 2 . b. Show that the 4th term of the G.P. is the 16th of the A.P. M11/MATHL/HP1/TZ2 Hansraj Sir (B.Tcech,Comp Sc. &Engg), IGCSE,A-LEVEL,IBDP,UNEVERSITIES(LSE,CU,NYU,UCL,......) Maths , Science, Computing
- 3. +919699990699,ersingh@hotmail.com HL Hansraj Sir (B.Tcech,Comp Sc. &Engg), IGCSE,A-LEVEL,IBDP,UNEVERSITIES(LSE,CU,NYU,UCL,......) Maths , Science, Computing