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Alcohols as Fuels: An Experiment to Compare the Effectiveness of Different Alcohols as Fuels
The video is a lecture presentation about alcohols as fuels. The presenter explains how different alcohols react with oxygen in the air to produce carbon dioxide and water, and that these reactions are exothermic. The presenter then...
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Finding Maximum and Minimum Turning Points using Completing the Square
The video is a tutorial on completing the square and its applications in finding the maximum and minimum turning points of a quadratic graph. The presenter explains how completing the square can help solve quadratic equations and find...
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Measures of Central Tendency and Grouped Data: Examples and Estimations
This video is a lecture on measures of central tendency, specifically on how to find the mean for grouped data using coding sets. The lecturer explains the importance of summarizing large data sets and gives examples of various measures...
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Finding Equations of Straight Lines from Coordinates
This video is a presentation on how to find the equation of a straight line when given some coordinates. The presenter explains that all straight lines follow the same general equation (Y=MX+C) and defines the values of M as the gradient...
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Completing the Square to Solve Quadratic Equations
The video explains how to use completing the square to solve quadratic equations. It covers the process of rewriting quadratic expressions in a different format with a single variable of x by taking the linear coefficient, halving it and...
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Introduction to Proportional Relationships and Graphs
This video is a presentation on proportional relationships and graphs. The speaker discusses direct and inverse proportion and provides examples along with constant rates of change. They also explain how nonlinear functions can create a...
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Exponential Functions and Graph Transformations with Constant Proportions
The video is a lecture presentation on exponential functions, specifically focusing on the equation Y = E to the power of K * X. The presenter explains the transformations of graphs and how they relate to exponential functions, using...
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Drawing Trigonometric Graphs Using the Unit Circle
This video is a lecture on how to draw trigonometric graphs using the unit circle. The lecturer explains how to visualize sine, cosine, and tangent graphs by examining the relationships of the trigonometric ratios with the sides of right...
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Equation of a Circle Centered at a Point: Explained and Solved Examples
This video is a presentation on the equation of a circle. The presenter explains the general formula for the equation of a circle centered at the origin and at a particular point of AB. The video also covers how to calculate the radius...
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Logical Concepts: Consequence and Equivalence
The video explains the logical concepts of consequence and equivalence. It defines logical consequence as when a statement A being true implies that statement B is true and logical equivalence as when statement A being true implies that...
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Interpreting Solutions Graphically: Finding Points of Intersection in Linear and Quadratic Equations
The video is a presentation on how to interpret solutions graphically using examples of linear and quadratic equations on graphs. The presenter explains how to find the point where two graphs meet, which solves the equation. They also...
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Logical Concepts of Consequence and Equivalence
This video is a lecture that explains the logical concepts of consequence and equivalence. The speaker defines logical consequence as the scenario where if a statement A is true, then we can deduce that statement B is also true. The...
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Transformations of Graphs: Reflections
In this video, the presenter explains graph transformations, specifically reflections, in a clear and concise manner. Using examples of functions and graph sketches, the presenter demonstrates how to reflect graphs in both the X and Y...
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Negative and Fractional Powers Explained
In this video, the instructor provides a lecture on negative and fractional powers, explaining how negative powers can be written as fractions and how fractional powers involve roots. The instructor demonstrates how to use the laws of...
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Factorizing Quadratics: Simple Cases
This is a tutorial on how to factorize simple quadratics. They define quadratic equations as equations or expressions where the highest power of the variable is 2, and explain that factorizing is the reverse of expanding the brackets....
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Sketching Quadratics with a = 1: Completing the Square and Finding Intercepts
In this video, the speaker gives a lecture about sketching quadratics where the value of A is equal to 1. They explain the general shape of a quadratic and how completing the square can help find the turning points and line of symmetry....
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Factor and Remainder Theorems: Using the Remainder Theorem to Find Remainders in Polynomials
This video provides an explanation and demonstration of the factor and remainder theorems in mathematics. The speaker begins by showing how substituting values into a polynomial can help determine factors and remainders. The video then...
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Introduction to the Basic Equation of a Straight Line
This is a lecture presentation on the basic equation of a straight line. The presenter explains the general equation for a straight line (Y=MX +C), highlighting the importance of understanding the M (gradient) and C (Y intercept) values...
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Graphs and Reciprocal Functions
This video is a presentation on graphs and their reciprocal values. The presenter begins by defining the reciprocal as one over a number and then works out values to demonstrate how the reciprocal changes as the value of X changes. The...
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Introduction to Vectors, Magnitude, and Direction
The video is a presentation on the introduction to vectors. The presenter explains the concept of vector quantities, which have both magnitude and direction. They discuss the notation of vectors, including column vectors and position...
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Algebraic Simplification: Cancelling and Factorization
This is a lecture presentation on algebraic simplification, specifically on cancelling and factorization. The presenter advises tackling numerical values first, then applying the laws of indices to simplify variables. The video includes...
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Understanding Exponential Growth: Graphing, Formula and Applications
This video provides an introduction to exponential growth, explaining what it means and different forms it can take such as population growth, compound interest, and Ponzi schemes. The video also shows how to use a graph to calculate the...
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Learn Git in 3 Hours- Using VI as an Editor
Vi is a very powerful command-line text editor that allows users to edit and read any text files directly from the command line. • Learn about VI as an editor • Open and edit a new file using VI • Learn how to quit VI This clip is from...
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Sketching Quadratics with a ≠ 1: Finding Turning Points and Intercepts
The video is a lecture presentation on how to sketch quadratic graphs when the value of "a" is not equal to 1. The lecturer explains the basics of quadratic graphs, including their U or N shapes, turning points, and lines of symmetry....