Curated Video
Efficient Ways to Check Solutions to Linear Equations
In this lesson, students will learn how to efficiently check their solutions to linear equations. They will explore different methods, such as substituting the solution back into the original equation, solving the equation using...
Brian McLogan
First derivative test relative extrema and increasing decreasing intervals
👉 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
Solving Equations with Infinite Solutions
In this video, the teacher explains how to solve equations with infinite solutions using inverse operations. They provide examples of equations with one solution, no solution, and infinite solutions, and demonstrate the steps to solve...
Curated Video
Factoring Quadratic Functions to Reveal Zeros
In this video, the teacher explains how to factor a quadratic function to find its zeros. They demonstrate the process using examples and highlight common mistakes to avoid.
Brian McLogan
Adding two functions one root one linear then find domain
👉 Learn how to add or subtract two functions. Given two functions, say f(x) and g(x), to add (f+g)(x) or f(x) + g(x) or to subtract (f - g)(x) or f(x) - g(x) the two functions we use the method of adding/subtracting algebraic expressions...
Flipping Physics
Introductory Centripetal Force Problem - Car over a Hill
A 453 g toy car moving at 1.05 m/s is going over a semi-circular hill with a radius of 1.8 m. When the car is at the top of the hill, what is the magnitude of the force from the ground on the car?
Brian McLogan
When eliminating the parameter gives you a sideways parabola
I make short, to-the-point online math tutorials. I struggled with math growing up and have been able to use those experiences to help students improve in math through practical applications and tips. I believe everyone can learn math...
Curated Video
Determining Rational X Intercepts of Quadratic Functions through Factoring
In this video, the teacher explains how to determine the number of rational x-intercepts in the graph of a quadratic function by examining the method used to factor the function. The video also clarifies the difference between rational...
Curated Video
Solving Sphere Volume Problems
In this video, students learn how to solve problems involving the volume of spheres by visualizing the problem and working backward. The video explains the difference between volume and surface area and guides students through the steps...
APMonitor
Data Science 🐍 Solve Equations
Equations are at the root of data science. It is what turns data into actionable information by developing mathematical expressions that mimic physical systems. There are two primary ways to solve equations. The first method is a numeric...
Curated Video
Example Elasticity Problems and How to Solve Them Using Elasticity Triangles
The video is a tutorial on solving elasticity problems using elasticity triangles. It covers examples of price elasticity of demand, cross elasticity of demand, and income elasticity of demand, with step-by-step explanations of how to...
Catalyst University
Real Gas Behavior | The Hard Shell Model [Example #1]
Here, I work an example in which pressure is calculated using the Hard Shell gas model. We then compare it to that calculated using the ideal gas model. ***Next Example: https://youtu.be/DdCoxgpLD3U
Curated Video
Estimating the Addition of Fractions with Unlike Denominators Using Benchmark Fractions
In this video, the teacher explains how to estimate the addition of fractions using benchmark fractions. By visualizing 1/2 as a reference point, students can determine whether their answer should be larger or smaller than 1/2 based on...
Virtually Passed
A better way to understand Differential Equations | Nonlinear Dynamics (Part 2)
These second-order linear differential equations can be written in the form dx/dt = ax + by dy/dt = cx + dy Depending on the values of a,b,c and d, the dynamics will be very different! They can be characterized by finding the eigenvalues...
Brian McLogan
How to solve a linear equation using only two steps inverse operations
👉 Learn how to solve two step linear equations. A linear equation is an equation whose highest exponent on its variable(s) is 1. To solve for a variable in a two step linear equation, we first isolate the variable by using inverse...
Brian McLogan
Solving a systems of equation word problem
👉Learn how to solve a system of linear equations from a word problem. A system of equations is a set of more than one equations which are to be solved simultaneously. A word problem is a real world simulation of a mathematical concept....
Virtually Passed
challenging friction problem
This problem is from the Meriam and Kraige Statics textbook. I do not own this problem and I am not using it for commercial purposes. In this problem you need to always start with a free body diagram. Notice that in order to find the...
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
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...
Brian McLogan
Learn how to show that a line is tangent to a circle by applying the quadratic formula
Learn how to solve problems with tangent line. A tangent line to a circle is a line that touches the circle at exactly one point. The tangent line to a circle makes a right angle with the radius of the circle at the point of its...
Brian McLogan
Solving a quadratic by applying the quadratic formula
👉 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...
Brian McLogan
How to use elimination to solve a word problem
👉Learn how to solve a system of linear equations from a word problem. A system of equations is a set of more than one equations which are to be solved simultaneously. A word problem is a real world simulation of a mathematical concept....