Brian McLogan
Solving a quadratic equation with imaginary solutions
👉Learn how to solve quadratic equations by factoring when a is equal to 1. A quadratic is an algebraic expression having 2 as the highest power of its variable(s). To factor an algebraic expression means to break it up into factors...
Curated Video
Identifying Extraneous Solutions in Radical Equations
In this video, the teacher explains how to identify extraneous solutions in radical equations. They emphasize the importance of avoiding negative numbers under a square root and explain that a negative radicand leads to an extraneous...
Curated Video
Distinguishing Between Linear and Exponential Models
In this video, the teacher explains the difference between linear and exponential functions using examples and graphs. They demonstrate how to identify equal differences in a linear function and equal factors in an exponential function....
Brian McLogan
How is the quadratic formula derived
👉 Learn all about the quadratic formula. The quadratic formula is a formula which can be used to find the roots of (solve) a quadratic equation. The quadratic formula is given by x = (-b +/- sqrt(b^2 - 4ac)) / 2a, where a is the...
Curated Video
Interpreting Graphical Behaviors Using Exponential Properties
In this video, the teacher explains how to interpret graphical behaviors using the properties of exponents. They discuss exponential growth and decay functions, as well as transformations and reflections of these functions. The...
ShortCutsTv
Reductionism
This film shows the importance and limitations of reductionism in the nature of psychological explanation. using the example of research into obesity. It cautions students against simply using reductionism as a critique to be compared...
Science360
Scientists detail Front Range air pollution - FRAPPE
Scientists at the National Center for Atmospheric Research (NCAR) and partner organizations are using specially equipped aircraft, mobile radars, balloon-mounted sensors, and sophisticated computer simulations to measure local and...
Brian McLogan
Given rational function find the vertical asymptote and hole
👉 Learn how to find the removable and non-removable discontinuity of a function. A function is said to be discontinuous at a point when there is a gap in the graph of the function at that point. A discontinuity is said to be removable...
Brian McLogan
Solve trigonometric equation with sine and tangent
👉 Learn how to solve trigonometric equations by factoring out the GCF. When solving trigonometric equations involving the multiples of the same trigonometric function. It is very useful to collect similar trigonometric functions together...
Brian McLogan
How to write the equation of the tangent line with implicit equation
👉 Learn how to find and write the equation of the tangent line of a curve at a given point. The tangent of a curve at a point is a line that touches the circumference of the curve at that point. To find the equation of the tangent line...
Brian McLogan
Solving a quadratic equation using inverse operations
👉Learn how to solve quadratic equations using the square root method. It is important to understand that not all quadratics have to be solved using factoring or quadratic formula. When we only have one variable but it is squared we can...
Why U
Pre-Algebra 10 - Factoring
Any natural number can be decomposed into a product of prime factors. Prime factorization is fundamental to many arithmetic operations involving fractions.
Brian McLogan
How to Find All of the Zeros of a Polynomial by Factoring, Including Imaginary
👉 Learn how to find all the zeros of a polynomial. 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 polynomial are the values...
Brian McLogan
Taking the derivative of two binomials using product and chain rule
👉 Learn how to find the derivative of a function using the chain rule. 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...
Curated Video
How to Measure the Speed of Wind
In this video, we explore the fascinating topic of measuring wind speed. We learn about the units used, the different types of anemometers used to measure wind speed, and the importance of understanding wind speed in various aspects of...
Brian McLogan
Evaluating a limit by factoring
👉 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
Find the local extrema using the first derivative test
👉 Learn how to find the extreme values of a function using the first derivative test. The extreme values of a function are the points/intervals where the graph is decreasing, increasing, or has an inflection point. A method that can be...
Curated Video
Interpreting Division: Matching Equations to Real World Examples
In this lesson, students will learn the meaning of division by matching equations to real-world examples. They will understand that division is the inverse of multiplication and involves breaking a whole into equal groups.
Curated Video
Introduction to Nanoparticles: Size, Properties, and Applications
This video explains what nanoparticles are and how their small size affects their physical and chemical properties, particularly in relation to their surface area-to-volume ratio. The video highlights potential applications of...
Science360
Insect battles provide clues to evolution - Science Nation
There's much to learn from animal warfare, even when the animals are barely visible Description: The seemingly peaceful atmosphere in an organic garden on the University of Florida campus belies the battles happening among many of its...
Brian McLogan
How to implicitly differentiate an evaluate through a point
👉 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
How to find the x values that make a horizontal tangent implicitly
👉 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...
R Programming 101
Data types in R programming
In this video I provide an overview of the five main types of data used in R programming. These are character, factor, integer, continuous and logical. I show how you can look at the structure of a dataframe and change the data type for...
National Institute of Standards and Technology
What Is The Computational Power of the Universe?
Can a close look at the universe give us solutions to problems too difficult even for a planet-sized computer to solve? Physicist Stephen Jordan considers this question and more in our latest video.