Curated Video
Adding Equations in a System: Commonalities in Tables and Graphs
In this lesson, students will learn what happens when equations in a system are added together. By observing tables of values and graphs, they will understand that adding two linear equations creates a new system with the same solution...
Brian McLogan
Find the values a and b that make the function differentiable
👉 Learn how to determine the differentiability of a function. A function is said to be differentiable if the derivative exists at each point in its domain. To check the differentiability of a function, we first check that the function is...
Brian McLogan
Eliminate the parameter to obtain a radical function
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
Finding Solutions to Quadratic Equations
In this video lesson, students will learn how to solve quadratic equations using the factored form of the equation. The teacher explains the concept of factor pairs and emphasizes that when solving for the solutions of a quadratic, one...
Flipping Physics
Energy Transferred Into and Out of a System
The general energy transfer equation is introduced and used to derive work due to nonconservative forces equals change in mechanical energy and conservation of mechanical energy. Want Lecture Notes?...
Flipping Physics
Introductory Conservation of Mechanical Energy Problem using a Trebuchet
Learn how to use the Conservation of Mechanical Energy equation by solving a trebuchet problem.
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
Evaluate the limit of a piecewise function with jump discontinuity
👉 Learn how to evaluate the limit of a piecewice function. A piecewise function is a function that has different rules for a different range of values. The limit of a function as the input variable of the function tends to a number/value...
APMonitor
Solve Nonlinear Equations with Excel
Microsoft Excel is used to solve a set of nonlinear equations with the Excel solver add-in.
Curated Video
Determining Real or Imaginary Solutions of Quadratic Equations with No Linear Term
In this lesson, you will learn how to determine whether the solutions of a quadratic equation with no linear term are real or imaginary. By isolating the quadratic term and considering the square roots involved, you can determine if the...
Curated Video
Solving Quadratic Equations by Completing the Square
In this video lesson, you will learn how to solve any equation of the form x squared plus bx plus c equals 0 by completing the square. The teacher explains the steps involved in completing the square and demonstrates with examples....
Curated Video
Multiple Solution Techniques for Linear Equations and Inequalities
This video emphasizes that there are multiple ways to solve linear equations and inequalities. It showcases different solution techniques such as applying the distributive property, using division, rearranging variables, finding common...
Curated Video
Writing Quadratic Equations Using Points on the Parabola
In this video, the teacher explains how to write the equation of a parabola using different methods. They also demonstrate how to solve systems of equations and find the vertex of a parabola. The video concludes by applying these...
Brian McLogan
How to sketch the particular equation from the slope field
Learn how to create slope fields and sketch the particular solution to a differential equation. Slope fields are tools used to graphically obtain the solutions to a differential equation. It is the estimation of the graphical...
Brian McLogan
Find the particular solution with exponential and inverse trig
Learn how to solve the particular solution of differential equations. A differential equation is an equation that relates a function with its derivatives. The solution to a differential equation involves two parts: the general solution...
Curated Video
Understanding the Correlation between Obesity and Type 2 Diabetes
This video provides an explanation of type 2 diabetes and its correlation with obesity. It discusses the rise in type 2 diabetes diagnoses and obesity rates in many countries, and highlights excess body fat as the strongest risk factor...
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
How to write the equation of the tangent line with implicit differentiation
👉 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
Learn to eliminate the parameter with two equations
Learn how to eliminate the parameter in a parametric equation. A parametric equation is a set of equations that express a set of quantities as explicit functions of a number of independent variables, known as parameters. Eliminating the...
Curated Video
Rearranging Elasticity Formulas and the Elasticity Triangle
In this video, the instructor teaches how to rearrange elasticity formulas to make any variable the subject of the formula. The video focuses on price elasticity of demand as an initial example and demonstrates how to substitute and...
Curated Video
Conservation of Mass and Chemical Equations
The video discusses the conservation of mass in chemical reactions and the application of this principle in calculating the mass of reactants and products. It also explores the features of chemical equations such as balancing and state...
Brian McLogan
Learn how to eliminate the parameter
Learn how to eliminate the parameter in a parametric equation. A parametric equation is a set of equations that express a set of quantities as explicit functions of a number of independent variables, known as parameters. Eliminating the...
Brian McLogan
Learn how to eliminate the parameter with trig
Learn how to eliminate the parameter in a parametric equation. A parametric equation is a set of equations that express a set of quantities as explicit functions of a number of independent variables, known as parameters. Eliminating the...