Virtually Passed
Conservation of Mechanical Energy Proof (2DoF)
Here is a quick math heavy proof of the conservation of mechanical energy in a 2 dimensional system. The proof in 3 dimensions is the exact same. Notice that the definition of the potential in the one dimensional system dV/dx = - F is...
Math Fortress
Calculus III: The Dot Product (Level 7 of 12)
This video goes over the dot product also known as the scalar product. This video goes over 3 challenging examples that require the use of dot product.
Brian McLogan
Learn how to eliminate the parameter and identify the rectangular graph
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
Solving Linear and Quadratic Systems Using Substitution
In this video, the teacher explains how to solve systems of equations that include both linear and quadratic equations using the method of substitution. The teacher provides examples and explains the different types of solutions that can...
Brian McLogan
Learn the basics to eliminate the parameter problem
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 to eliminate the parameter with trigonometric 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...
Flipping Physics
Finding the Force on a Ball from a Dent
Using the Work Energy Theorem to solve the following … A 67 N ball is dropped from a height of 79.8 cm above a bag of sand. If the ball makes a 9.0 mm deep dent in the sand, what is the average force the sand applies on the ball during...
Curated Video
Writing and Solving Systems of Equations in Story Problems
In this video, you will learn how to write a system of equations to solve story problems with multiple unknowns. The goal is to find the solutions that satisfy each equation in the system. You will also explore different methods to solve...
Curated Video
Maximizing Revenue: Using Quadratic Functions to Find the Best Selling Price
In this video, you will learn how to use the graph of a quadratic function to find the best price for selling stuffed animals. By finding the zeros of the function and understanding the relationship between price and sales, you can...
Curated Video
Finding the Center and Radius of a Circle Using the Equation
In this video, mathematicians learn how to find the center and radius of a circle by analyzing its equation. The video explains the key components of a circle, such as the center and radius, and then breaks down the standard form of a...
Curated Video
Finding Zeros of a Quadratic Function by Factoring a Trinomial
In this video, the teacher explains how to find the zeros of a quadratic function by factoring a trinomial. They explain the zero product property and the importance of factoring completely. They then demonstrate how to apply these...
Brian McLogan
Particular solution of differential equations
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...
Math Fortress
Calculus III: Three Dimensional Coordinate Systems (Level 5 of 10)
This video continues the exploration of a three dimensional Cartesian coordinate system.This video covers two basic examples requiring the use of the distance formula in three dimensions. In addition, the equation of a sphere is also...
Curated Video
Predicting Solutions of Linear Equations
In this video, the teacher explains how to predict the number of solutions in linear equations by identifying key features. They demonstrate examples of equations with one solution, no solutions, and infinitely many solutions,...
Brian McLogan
How to eliminate the parameter to identify the linear equation
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
How to solve a differentialble equation by separating the variables
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...
Math Fortress
Differential Equations: Families of Solutions (Level 2 of 4)
This video introduces the basic concepts associated with solutions of ordinary differential equations. This video goes over 3 examples illustrating how to verify general solutions of ordinary differential equations.
Flipping Physics
Work due to the Force of Gravity on an Incline by Billy
Billy does an example problem to review the work equation.
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...
Brian McLogan
Learn to basics of eliminating the parameter with sine and cosine
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
Solve the general solution for differentiable equation with 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...
Flipping Physics
Dropping a Ball from 2.0 Meters - An Introductory Free-Fall Acceleration Problem
In this introductory free-fall acceleration problem we analyze a video of a medicine ball being dropped to determine the final velocity and the time in free-fall. Included are three common mistakes students make. "Why include mistakes?"...
Curated Video
Solving Systems of Equations by Elimination
In this video lesson, students will learn how to solve systems of equations using the elimination method. The lesson explains the concept of systems of equations and the importance of finding exact solutions. It demonstrates how to...