Brian McLogan
Solve a quadratic equation using the quadratic formula when their are imaginary solutions
👉 Learn how to solve quadratic equations using the quadratic formula. A quadratic equation is an equation whose highest power on its variable(s) is 2. The quadratic formula is a formula which can be used to find the roots of (solve) a...
Curated Video
Predictive Analytics with TensorFlow 8.3: Tuning CNN Hyperparameters
In this video, we will tune the CNN hyperparameters. • Tune the CNN hyperparameters
Curated Video
Identifying Holes in Graphs: Investigating Functions
In this lesson, students learn how to identify holes in a graph by investigating functions. They explore examples where the denominator of a function cannot equal zero, resulting in either an asymptote or a hole in the graph.
Brian McLogan
Evaluate the left hand limit
👉 Learn how to evaluate the limit of a function involving rational expressions. The limit of a function as the input variable of the function tends to a number/value is the number/value which the function approaches at that time. The...
Brian McLogan
Given a list of zeros, learn how to write the equation of a polynomial
👉 Learn how to write the equation of a polynomial when given rational zeros. Recall that a polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. The...
Brian McLogan
Domain of rational function by graphing
👉 Learn about the characteristics of a function. Given a function, we can determine the characteristics of the function's graph. We can determine the end behavior of the graph of the function (rises or falls left and rises or falls...
Brian McLogan
Determine the vertices, foci and center by converting an ellipse to standard form
Learn how to graph horizontal ellipse which equation is in general form. A horizontal ellipse is an ellipse which major axis is horizontal. When the equation of an ellipse is written in the general form, we first rewrite it in standard...
Brian McLogan
Completing the square to identify the vertex, focus and directrix of a parabola in conic
Learn how to graph a parabola in when it is given in general form. To graph a parabola in conic sections we will need to convert the equation from general form to standard form by completing the square. Once it is in standard form we can...
Curated Video
Introduction to Differentiation of Small Positive Integer Powers of X
The video discusses the differentiation of small positive integer powers of X using the first principles method. The presenter explains how to find the gradient of curves for functions such as X^2, X^3, X^5, and 3X^2 by taking the limit...
Brian McLogan
How to determine the foci vertices and center of an ellipse in general form
Learn how to graph horizontal ellipse which equation is in general form. A horizontal ellipse is an ellipse which major axis is horizontal. When the equation of an ellipse is written in the general form, we first rewrite it in standard...
Brian McLogan
How to use implicit differentiation with trig
👉 Learn how to find the derivative of an implicit function. The derivative of a function, y = f(x), is the measure of the rate of change of the function, y, with respect to the variable x. The process of finding the derivative of a...
Brian McLogan
Given a Irrational Factor | Find All the Zeros of the Polynomials
👉 Learn how to find all the zeros of a polynomial given one irrational zero. A polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. The zeros of a...
Brian McLogan
Learn how to use the formula for vertex and axis of symmetry to graph a parabola
👉 Learn how to graph quadratics in standard form. A quadratic equation is an equation whose highest exponent in the variable(s) is 2. To graph a quadratic equation, we make use of a table of values and the fact that the graph of a...
Curated Video
Benefits and Costs of Inflation: Competitiveness, Fiscal Drag, Income Redistribution, and Government Finance
In this video, the presenter covers topics such as the impact of inflation on competitiveness in trading, the concept of fiscal drag in taxes, and the redistribution of income based on inflation's differential impact on borrowers and...
Guinness World Records
Orbax and Pepper react to the loudest burp
Orbax and Pepper react to the video of Paul Hunn performing his loud burps, giving some scientific analysis of the process of burping. Can be used in conjunction with the original Loudest burp video.
Brian McLogan
Given One Factor Using Synthentic Division to Determine the Remaining Zeros
👉 Learn how to find all the zeros of a polynomial given one rational zero. A polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. The zeros of a...
Brian McLogan
Solving a logarithmic equation for x using factoring
👉 Learn about solving logarithmic equations. Logarithmic equations are equations involving logarithms. To solve a logarithmic equation, we first use our knowledge of logarithm laws/properties to express the terms in both sides of the...
Brian McLogan
Write the equation in standard form by completing the square to find vertex, focus and directrix
Learn how to graph a horizontal parabola. A parabola is the shape of the graph of a quadratic equation. A parabola is said to be horizontal if it opens to the left or opens to the right. A horizontal parabola results from a quadratic...
Brian McLogan
Label the transformations of the natural logarithmic function, domain and range
👉 Learn how to identify transformations of functions. Transformation of a function involves alterations to the graph of the parent function. The transformations can be dilations, translations (shifts), reflection, stretches, shrinks,...
Brian McLogan
Left hand Limit of a rational function at a hole
👉 Learn all about the Limit. In this playlist, we will explore how to evaluate the limit of an equation, piecewise function, table and graph. We will explore continuity as well as discontinuities such as holes, asymptotes and jumps and...
Brian McLogan
Learn how to evaluate a limit with a function as a complex fraction
Learn how to evaluate a limit with a function as a complex fraction
Brian McLogan
Taking the derivative of a exponential equation using the quotient rule
👉 Learn how to find the derivative of exponential and logarithmic expressions. The derivative of a function, y = f(x), is the measure of the rate of change of the function, y, with respect to the variable x. The process of finding the...
Curated Video
Introduction to Factor Theorem and Factoring Polynomials
The video is a lecture presentation about the factor and remainder theorems in mathematics. The presenter explains how to use the factor theorem to find factors and remainders of polynomials by substituting specific values and also...
Curated Video
Introduction to Production and Factors of Production
This is a video that explains the concept of production in economics. The video introduces the idea of taking inputs, engaging in a productive process and creating outputs. The video then categorizes the factors of production into four...