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How to Determine Continuous Compounding Interest and Calculate the Compounding Rate
Manage episode 474999946 series 3288301
Content provided by Mr Maimane. All podcast content including episodes, graphics, and podcast descriptions are uploaded and provided directly by Mr Maimane or their podcast platform partner. If you believe someone is using your copyrighted work without your permission, you can follow the process outlined here https://ppacc.player.fm/legal.
In this episode, we explain how to determine continuously compounded interest using the formula A = P * e^(rt) and how to calculate the compounding rate step by step.
What youβll learn:
How to use the continuous compounding formula
How to calculate the interest earned over time
How to determine the compounding rate for a given scenario
Real-world applications of continuous compounding
This episode is ideal for students, investors, and anyone interested in understanding exponential growth in finance. Follow for more insights on financial mathematics and investment strategies.
80 episodes
ShareManage episode 474999946 series 3288301
Content provided by Mr Maimane. All podcast content including episodes, graphics, and podcast descriptions are uploaded and provided directly by Mr Maimane or their podcast platform partner. If you believe someone is using your copyrighted work without your permission, you can follow the process outlined here https://ppacc.player.fm/legal.
In this episode, we explain how to determine continuously compounded interest using the formula A = P * e^(rt) and how to calculate the compounding rate step by step.
What youβll learn:
How to use the continuous compounding formula
How to calculate the interest earned over time
How to determine the compounding rate for a given scenario
Real-world applications of continuous compounding
This episode is ideal for students, investors, and anyone interested in understanding exponential growth in finance. Follow for more insights on financial mathematics and investment strategies.
80 episodes
All episodes
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1 How to Calculate the Present Value of an Annuity and a Deferred Annuity β Explained Simply 21:06
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Play Later Play Later Lists Like LikedIn this episode of the Simplified RSA Podcast, we explain how to calculate the present value of both an ordinary annuity and a deferred annuity in a clear and simplified way. If you're a high school or university student, or someone preparing for a finance or mathematics exam, this episode is for you. You'll learn: π What an annuity and a deferred annuity are π The difference between ordinary and deferred annuities π How to use the formulas step by step π Real-world examples and exam tips π§ Tune in, take notes, and simplify your learning with us! #PresentValue #AnnuityMath #FinanceFormulas #MathsPodcast #SimplifiedRSAβ¦
1 How to Differentiate Between Present and Future Value of an Annuity and Calculate Future Value of Annuities 22:03
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Play Later Play Later Lists Like LikedIn this episode, we unpack two important concepts in financial mathematics: the present value and future value of an annuity. If you've ever struggled to understand the difference or how to apply the formulas correctly, this lesson is for you. What you'll learn: The key differences between present and future value When and how to use each formula Step-by-step guidance on calculating the future value of an annuity Common mistakes students make and how to avoid them This episode is ideal for high school and university students preparing for exams or anyone needing a clearer understanding of annuity calculations. Brought to you by Simplified RSA.β¦
1 How to Calculate the Distance Between Two Points and the Area of a Triangle Using Coordinates 15:11
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Play Later Play Later Lists Like LikedIn this episode, we walk through the steps to calculate the distance between two points using the distance formula, and how to determine the area of a triangle when only the coordinates of the vertices are provided. This lesson is ideal for high school learners studying Analytical Geometry (Grades 10 to 12), or anyone needing a refresher on fundamental concepts in coordinate geometry. What youβll learn in this episode: How to use the Distance Formula How to calculate the Area of a Triangle using coordinates Common mistakes to avoid and tips for accuracy This episode is part of the Simplified RSA series designed to make mathematics easier to understand. Be sure to follow the podcast for more lessons and support in maths and science. #MathematicsPodcast #SimplifiedRSA #AnalyticalGeometry #HighSchoolMaths #DistanceFormula #TriangleArea #MathsRevisionβ¦
1 How to Find the Inverse of a Linear Function and the Intersection Point 14:52
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Play Later Play Later Lists Like LikedIn this episode, we walk you through how to find the inverse of a linear function step-by-step and explain how to determine the intersection point between a function and its inverse. This is a key concept in algebra and is often tested in high school and university-level mathematics. What youβll learn: Understanding what an inverse function is How to find the inverse of a linear function How to interpret and find the intersection point Practical tips for solving these types of problems in exams Hosted by Simplified RSA β a platform dedicated to making mathematics easier and more accessible for all students. Follow for more educational content and exam preparation support. New episodes weekly.β¦
1 How to Use a Cartesian Plane to Determine Trigonometric Identities and Pythagoras' Theorem β Part 2 18:57
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Play Later Play Later Lists Like LikedIn this episode, we continue our deep dive into trigonometry by exploring how the Cartesian plane can be used to determine key trigonometric identities and apply the Pythagorean Theorem. What you'll learn in this episode: How to represent and solve trigonometric problems using the Cartesian plane Understand sine, cosine, and tangent through coordinate geometry Deriving and proving fundamental trig identities Applying the Pythagorean Theorem in a coordinate context Step-by-step walkthroughs to help reinforce your understanding This episode is ideal for high school students, university learners, or anyone looking to strengthen their foundational math skills. Be sure to listen to Part 1 if you havenβt already, and follow the podcast for more insightful math content.β¦
1 How to Use a Diagram to Understand Trigonometric Identities and Pythagoras' Theorem 13:09
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Play Later Play Later Lists Like LikedIn this episode, we explore how a simple right-angled triangle diagram can help you understand and remember key trigonometric identities and Pythagoras' Theorem. By visualizing the relationships between sides and angles, you'll learn how to: Define sine, cosine, and tangent in context Connect the Pythagorean Theorem to trig identities Derive and recall essential formulas Build confidence for solving exam-style problems Ideal for high school students and anyone looking to strengthen their foundation in trigonometry. Clear, visual, and easy to follow β this is math made simple. Listen in and simplify your understanding of trigonometry, one concept at a time.β¦
1 How to Determine Continuous Compounding Interest and Calculate the Compounding Rate 11:35
11:35 Play Later Play Later Lists Like Liked11:35
Play Later Play Later Lists Like LikedIn this episode, we explain how to determine continuously compounded interest using the formula A = P * e^(rt) and how to calculate the compounding rate step by step. What youβll learn: How to use the continuous compounding formula How to calculate the interest earned over time How to determine the compounding rate for a given scenario Real-world applications of continuous compounding This episode is ideal for students, investors, and anyone interested in understanding exponential growth in finance. Follow for more insights on financial mathematics and investment strategies.β¦
1 How to Solve Quadratic Inequalities Step by Step 26:52
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Play Later Play Later Lists Like LikedStruggling with quadratic inequalities? In this episode, we break down everything you need to know. Learn how to solve quadratic inequalities using factoring, the quadratic formula, and completing the square. We'll also cover how to test intervals, graph solutions on a number line, and express answers in interval notation. What Youβll Learn: Step-by-step methods for solving quadratic inequalities How to use factoring, completing the square, and the quadratic formula How to test intervals and determine solution sets How to represent solutions on a number line and in interval notation Whether you're a student preparing for an exam or just refreshing your algebra skills, this episode will give you a clear and easy-to-follow approach. Tune in and level up your math game. Don't forget to follow the podcast for more math tips and strategies!β¦
1 Solving Two-Blocks in Motion Problems with Newtonβs Second Law 23:03
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Play Later Play Later Lists Like LikedIn this episode, we break down how to solve a two-blocks-in-motion problem using Newton's Second Law of Motion. Weβll analyze forces, set up equations of motion, and determine acceleration and tension step by step. Whether you're a physics student or just love problem-solving, this is a must-listen for mastering Newtonian mechanics! π§βοΈ #Physics #NewtonSecondLaw #Mechanicsβ¦
1 How to Calculate the Maximum Area of a Rectangle | Step-by-Step Guide 14:24
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Play Later Play Later Lists Like LikedIn this episode, we explore how to determine the maximum area of a rectangle using calculus and algebraic methods . Whether you're a student or just interested in math, this guide will walk you through the process in a clear and simple way. What You'll Learn: How to set up and approach the problem Using derivatives to find the maximum area Practical applications of this concept Follow for more educational content, and stay tuned for more math tutorials!β¦
1 Master Algebra: Simplifying Expressions & Solving Equations with Nature of Roots 19:21
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Play Later Play Later Lists Like LikedStruggling with algebra? In this episode, we break down how to simplify expressions and solve equations step by step. Plus, weβll dive into the nature of rootsβunderstanding whether a quadratic equation has real, equal, or complex roots using the discriminant. What youβll learn: How to simplify algebraic expressions easily Step-by-step equation-solving techniques Understanding the nature of roots (real, equal, or imaginary) Whether you're a student preparing for exams or just brushing up on math skills, this episode is perfect for you. Don't forget to follow the podcast for more math insights and share it with others who might find it helpful.β¦
1 PHYSICS: Velocity-Time Graphs MADE EASY! | Unlock Motion Secrets 17:24
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Play Later Play Later Lists Like LikedStruggling with velocity-time graphs? Don't worry! This audio lesson breaks it down step by step so you can master the graphical interpretation of motion like a pro. You'll learn: How to read velocity-time graphs like a physicist The secret to finding acceleration and displacement Real-world motion examples explained with ease Perfect for students preparing for exams or anyone looking to understand physics better. Stream now and simplify physics with us!β¦
1 Master Factorizing Expressions β A Complete Guide for Students 13:52
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Play Later Play Later Lists Like LikedStruggling with factorizing algebraic expressions? This episode breaks it down step by step, making it easy to understand and apply. Whether you're dealing with common factors, trinomials, or the difference of squares, this guide provides clear explanations and practical techniques to help you improve your math skills. What Youβll Learn: Understanding common factors Factoring trinomials effectively The difference of squares explained Quick tips and strategies for faster factorization Stay tuned for more math lessons, and don't forget to follow for future episodes.β¦
1 Mathematics: Analyzing a Polynomial and a Linear Function | Graph Interpretation 18:29
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Play Later Play Later Lists Like LikedIn this video, we analyze a given graph that displays both a polynomial function and a linear function. Weβll break down their key characteristics, discuss their intersections, and interpret how they relate to each other. Perfect for students and math enthusiasts looking to improve their graph analysis skills! Donβt forget to like, share, and follow for more math content.β¦
1 Mathematics: Expressions vs. Equations Explained! & Simplifying Expression The Exam Style 16:39
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Play Later Play Later Lists Like LikedConfused about expressions and equations? In this video, we break down the key differences between them in a simple way! Plus, we tackle exam-style questions on simplifying expressions to help you ace your math test. Watch till the end for step-by-step solutions!
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1 What Determines the Boiling Point of a Liquid? | Chemistry Explained 16:10
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Play Later Play Later Lists Like LikedWhy do some liquids boil faster than others? In this podcast, we explore the key factors affecting liquids' boiling point , including molecular structure, intermolecular forces, and external pressure . Whether you're a student or just curious about chemistry, this video breaks it down simply and clearly!β¦
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1 Mathematics: Understanding Quadratic Sequences - A Step-by-Step Guide to Number Patterns 10:16
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Play Later Play Later Lists Like LikedIn this video, we explore the fascinating world of quadratic sequences, breaking down the key concepts behind these number patterns. Youβll learn how to identify and analyze quadratic sequences, understand the relationship between terms, and discover the method to find the nth term. Whether you're struggling with the topic or just looking to strengthen your math skills, this video will guide you through the process with clear explanations and examples. Perfect for students studying Mathematics at any level.β¦
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1 MATHEMATICS: Mastering Linear Sequences - Solving Past Paper Problems on Sequences & Series 17:02
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Play Later Play Later Lists Like LikedIn this video, we dive deep into the fascinating world of mathematics, focusing on linear sequences, also known as sequences and series. Watch as we solve real past paper questions, breaking down each step to help you understand how to tackle these problems with ease. Whether you're revising for exams or simply want to sharpen your skills, this video will guide you through the key concepts of number patterns and sequences.β¦
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1 Understanding dy/dx: The Basics of Differentiation Explained 13:14
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Play Later Play Later Lists Like LikedReady to dive into the world of calculus? In this video, I break down the process of differentiation and show you exactly how to understand and apply dy/dx. From simple functions to more complex examples, weβll explore the core concepts step by step. If youβve ever been confused by derivatives, this video will clear things up and give you the confidence to tackle any differentiation problem.β¦
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1 Finding the Minimum Value of a Quadratic Function | Turning Point & Derivatives Explained 9:50
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Play Later Play Later Lists Like Likedn this math lesson, we'll show you how to find the minimum value of a quadratic function by using derivatives! Discover the connection between the turning point (vertex) and the minimum value of a quadratic curve. We'll guide you through the steps to differentiate a quadratic function and pinpoint its minimum value. Whether you're studying calculus or just need a refresher, this video is perfect for mastering this key concept. Make sure to follow us.β¦
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1 Application Differentiation: A Key Concept in Grade 12 Mathematics 11:08
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Play Later Play Later Lists Like LikedIn this video, we explore the essential topic of application differentiation for Grade 12 students. We break down the core principles and techniques behind differentiation, showing you how to solve real-world problems involving rates of change, optimization, and motion. With clear examples and step-by-step explanations, you'll understand how to apply differentiation to various mathematical situations. Whether you're preparing for exams or looking to strengthen your calculus skills, this video will help you master the concept of application differentiation and boost your confidence in Grade 12 math!β¦
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1 Mathematics: Understanding the Roots of Equations | Key Concepts Explained 8:55
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Play Later Play Later Lists Like LikedIn this video, we dive deep into the concept of roots of equations, breaking down how to find and understand them. Whether you're tackling quadratic equations or exploring higher-degree polynomials, this guide will provide you with the essential techniques and tips. Watch to learn step-by-step methods to solve equations and discover how to apply these concepts in various mathematical problems.β¦
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1 PHYSICS: Unlocking Vector Diagrams: Head-to-Tail Method Explained! 15:03
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Play Later Play Later Lists Like LikedNeed to ace vector problems? Learn how to use the head-to-tail method to easily draw and solve vector diagrams. Watch this simple step-by-step breakdown!
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1 PHYSICS: Understanding the Law of Conservation of Mechanical Energy 21:47
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Play Later Play Later Lists Like LikedIn this video, we dive into one of the fundamental principles of physics β the Law of Conservation of Mechanical Energy. Learn how energy is neither created nor destroyed, but rather transformed from one form to another within a closed system. From potential energy to kinetic energy, weβll explore how this law governs the motion of objects and how it applies to real-world scenarios. Whether youβre a student or just curious about physics, this video provides a clear and easy-to-understand explanation of this essential concept. Donβt forget to like, comment, and subscribe for more science content!β¦
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1 Linear Algebra: How to Solve Augmented Matrices β Simple Steps for Beginners 12:27
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Play Later Play Later Lists Like LikedStruggling with augmented matrices? In this video, weβll break down the process of solving augmented matrices step by step, making it easy to understand and apply. Whether youβre new to linear algebra or need a quick refresher, this guide will help you master the essentials and boost your math skills!β¦
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1 Introduction to Matrices | Linear Algebra Basics for Beginners 12:02
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Play Later Play Later Lists Like LikedWelcome to our introduction to matrices in linear algebra! In this video, we'll break down the fundamentals of matrices, including their definition, types, and how they are used in various mathematical operations. Whether you're just starting out with linear algebra or need a refresher, this video will help you build a strong foundation in understanding matrices and their applications.β¦
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1 First Video of 2025, INTRODUCTION TO CONVERSION FACTORS. MATHEMATICS. 11:51
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Play Later Play Later Lists Like LikedWelcome to the first video of 2025! In this video, we dive into the fundamentals of conversion factors in mathematics. Whether you're new to the concept or looking to brush up on your skills, this video will guide you through how to use conversion factors to easily switch between different units of measurement. Learn step-by-step how to set up and solve conversion problems with clear examples. Perfect for students, educators, or anyone looking to strengthen their math skills this year. Don't forget to like, share, and subscribe for more educational content!β¦
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1 Mastering Hyperbolas: Axis of Symmetry & Triangle Area Calculation Explained! 19:41
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Play Later Play Later Lists Like LikedIn this video, we dive into the fascinating world of hyperbolas! Youβll learn how to find the equation of the axis of symmetry for a hyperbola and master the steps to calculate the area of a related triangle. Perfect for students tackling complex conic sections and geometry problems, this lesson breaks down each concept in a clear and practical way. Don't forget to like, subscribe, and share if you find this helpful. Letβs simplify math together!β¦
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1 Mastering Quadratic Equations: Vertex Form, Exponents, and Logarithms Explained! 18:49
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Play Later Play Later Lists Like LikedIn this video, I dive into essential mathematical concepts that every student should understand! Join me as I explore: Writing Quadratic Equations in Vertex Form: Learn how to transform standard quadratic equations into vertex form to easily identify the vertex and analyze their graphs. Exponent Expressions in Terms of k: Iβll show you how to express various exponentials in terms of the variable πk, simplifying complex problems. Solving for Unknown Variables Under Logarithm: Discover techniques to tackle logarithmic equations and find unknown variables effectively.β¦
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1 Understanding Quadrilaterals: Properties, Types, and Their Applications in Real Life 21:32
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Play Later Play Later Lists Like LikedIn this video, we dive deep into the fascinating world of quadrilaterals , one of the fundamental shapes in geometry. You'll learn: What defines a quadrilateral. The different types of quadrilaterals such as squares, rectangles, parallelograms, rhombuses, and trapeziums. Key properties like side lengths, angles, and diagonals, along with essential formulas. Special theorems related to quadrilaterals, including the Pythagorean theorem and mid-point theorem. How quadrilaterals appear in everyday life, from architecture and construction to design and art.β¦
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1 Proving the Proportionality Theorem: Parallel Lines in a Triangle, & Application in Solving Problem 26:09
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Play Later Play Later Lists Like LikedIn this video, we will explore a key theorem in triangle geometry: when a line is drawn parallel to one side of a triangle, it divides the other two sides proportionally. Iβll walk you through the proof using a detailed diagram, demonstrating how to show that the segments created by the parallel line are in proportion. Perfect for students preparing for exams or anyone interested in geometric proofs, this video will help clarify and solidify your understanding of this important theorem. Join me to master this essential concept in triangle geometry!β¦
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1 CHEMISTRY: Elements & Compounds | Homogeneous & Heterogeneous Mixtures | Pure & Mixed Substances 17:38
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Play Later Play Later Lists Like LikedDive into the fascinating world of chemistry with our latest video! In this comprehensive guide, we explore: πΉ Elements & Compounds: Understand the building blocks of matter, from simple elements to complex compounds, and learn how they combine to form various substances. πΉ Homogeneous Mixtures: Discover the properties of mixtures that are uniform in composition, where each component is evenly distributed. πΉ Heterogeneous Mixtures: Learn about mixtures with distinct, separate components that can be easily identified and separated. πΉ Pure Substances: Get to know pure substances, including elements and compounds, and understand what differentiates them from mixtures. Whether you're a chemistry student, a science enthusiast, or just curious about how the world is made up, this video will provide clear explanations and insightful visuals to enhance your understanding. Donβt forget to like, comment, and subscribe for more educational content!β¦
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1 Master Chemistry, Calculate Mass of Compounds Using Molar Mass & Moles, Problem walkthrough 18:41
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Play Later Play Later Lists Like Likedπ¬ Welcome to our Chemistry Classroom! In this video, weβll guide you through a clear and easy-to-follow walkthrough on calculating the mass of a compound. Whether youβre a student preparing for exams or just keen to understand chemistry better, this tutorial will help you master the essential skills of using molar mass and moles.β¦
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1 Physics | Mastering Energy Concepts: Potential Energy, Kinetic Energy & Conservation Explained 25:21
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Play Later Play Later Lists Like LikedWelcome to our in-depth physics tutorial! In this video, we'll walk you through the essential concepts of energy, including Potential Energy, Kinetic Energy, and the Principle of Conservation of Energy. Whether you're a student preparing for exams or just curious about how energy works in the physical world, this walkthrough will help you understand the fundamental principles and how to apply them in calculations. πΉ What You'll Learn: The definitions and differences between Potential and Kinetic EnergyHow to apply the Principle of Conservation of Energy in problem-solving Step-by-step calculations for various energy-related problems πΉ Why Watch? Clear explanations with practical examples Tips for mastering energy concepts in physicsBoost your understanding and grades in scienceDon't forget to like, comment, and subscribe for more educational content! Hit the bell icon to stay updated with our latest videos.β¦
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1 MATHEMATICS: Understanding Trigonometric Graph Transformations, For High School & University 22:05
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Play Later Play Later Lists Like LikedJoin me in this detailed walkthrough where we delve into trigonometric graph functions, exploring how to plot these curves accurately and understand the transformations that affect them. We'll start with the basics, covering sine, cosine, and tangent functions, and gradually progress to more complex transformations such as amplitude changes, phase shifts, and vertical translations.Throughout the video, I'll explain each transformation step-by-step, providing clear examples and demonstrations using graphs and equations. Whether you're studying for an exam or just curious about how these functions behave, this video will equip you with the knowledge and skills to confidently handle trigonometric graphs and their transformations.By the end, you'll have a solid understanding of how to manipulate trigonometric functions graphically, helping you tackle more challenging problems with ease. Don't forget to like, subscribe, and leave your questions in the comments below to keep the mathematical conversation going!β¦
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1 Mathematical Literacy - Calculating The Area Of a Rectangle, Volume of a Cylindrical Shape etc... 29:20
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Play Later Play Later Lists Like LikedWelcome to our comprehensive 29-minute video tutorial where we meticulously walk through a previous question paper, This lesson is about Mathematical Literacy on Rectangle cylindrical shapes. This session is designed to help students grasp the concepts of length, width, and volume calculations for cylinders with ease.In this video, we will:Break down the fundamental properties of cylindrical shapes.Guide you through step-by-step solutions to typical exam questions.Explain the key formulas for calculating the volume, length, and width of cylinders.Provide practical tips and strategies to tackle Mathematical Literacy problems effectively.Perfect for high school and university students, this tutorial aims to boost your confidence and problem-solving skills in geometry. Make sure to watch till the end for expert advice on mastering these concepts!β¦
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1 Mastering Mathematics Senior Certificates: Statistics, Mean, Standard Deviation | How to Use a Calculator 29:30
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Play Later Play Later Lists Like LikedWelcome to my channel! In this video, I'll walk you through a challenging problem from a past Mathematics Senior Certificates exam paper. We'll dive into question 1, discussing the theory behind the problem and providing a step-by-step solution. Whether you're preparing for an exam or simply love diving deep into math problems, this video is designed to help you understand the concepts and sharpen your problem-solving skills. Call or Email us: 0814652676 or info@simplifiedrsa.comβ¦
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1 DIFFERENTIATION PART 2, APPLICATION, MATHS, MARGINAL, ECONOMICS, QMI1500, DSC1520, BNU1501, UNISA 7:33
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Play Later Play Later Lists Like LikedMr. Maimane demonstrates the application of differentiation for subject like economics.
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1 MATHEMATICS - PRODUCT RULE OF DIFFERENTIATION,GRADE,11,12, UNISA, UNIVERITY,QMI1500,DSC1520,MAT1501 14:01
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Play Later Play Later Lists Like LikedApplication of the product rule
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1 CACULUS - INTRODUCTION TO DIFFERENTIATION, DSC1520,GRADE11,12, HIGH SCHOOL, UNIVERSITY,UNISA,QMI1500 19:44
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Play Later Play Later Lists Like LikedIntroduction to differentiation
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1 High School Mathematics: Let us Solve for an unknown 'X' variable equation in 2:45
2:45 Play Later Play Later Lists Like Liked2:45
Play Later Play Later Lists Like LikedA walking-in Problem on how to solve for 'x' by squaring both sides resulting in a quadratic equation
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1 MATHEMATICS: DIFFERENTIATION USING THE FIRST PRINCIPLE & USING DIFFERENTIAL RULES, CALCULUS, ALGEBRA 16:03
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Play Later Play Later Lists Like LikedDemonstration of how to differentiate equations using the first principle as well as differential rules
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1 MATH: COMPOUND ANGLES & DOUBLE ANGLES IN TRIGONOMETRY, CURRECULUM FOR HIGH SCHOOL & UNIVERSITY 15:31
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Play Later Play Later Lists Like LikedExplaining the differences between Double Angles & Compound Angles in Trigonometry, and also demonstrating how to answer exam questions involving compound angles
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1 MATH: TRIGONOMETRY, APPLICATION OF PYTHAGORAS THEOREM, DOUBLE ANGLES, MAT1510, HIGH SCHOOL, UNISA 10:47
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Play Later Play Later Lists Like LikedA demonstration of questions relating to exams questions on the application of Pythagoras Theorem
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1 PHYSICS: NEWTON'S FIRST LAW, FREE-BODY DIAGRAM, CALCULATING TENSION OF A ROPE, CONSTANT SPEED/VEOCITY 20:05
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Play Later Play Later Lists Like LikedPhysical Science: Newton's first law problem walkthrough
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