In this video, the teacher explains how to multiply complex numbers using the double distributive property. They review the distributive property and the imaginary unit, emphasizing the importance of simplifying expressions involving i...

A 25 kg child is sitting on the edge of a merry-go-round. The merry-go-round has a mass of 255 kg and is rotating at 2.0 radians per second. The child crawls to the middle of the merry-go-round. What is the final angular speed of the...

In this video, the teacher explains how to find the sine, cosine, and tangent of angles in the coordinate plane using right triangle geometry. The Pythagorean theorem and the acronym SOHCAHTOA are used to understand the relationships...

The velocity as a function of position of a horizontal mass-spring system is derived, graphed, and demonstrated. This is an AP Physics C: Mechanics topic. Content Times: 0:00 Simple Harmonic Motion Review 0:34 Total Mechanical Energy...

This video lesson teaches students how to solve quadratic equations using the quadratic formula. It explains the concept of finding where a quadratic crosses the x-axis and how to set up the equation to find the solutions. The video also...

👉 Learn how to take the derivative of a function. 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...

In this lesson, students will learn how to multiply complex numbers that have just one term. The lesson covers the definition of "i" as the square root of negative 1, and the algebraic procedures for multiplying one-term expressions....

In this video, the teacher explains how to use the zeros and vertex of a quadratic equation to graph a parabola. They review finding the solutions to a quadratic equation by factoring and emphasize that the solutions are not necessarily...

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...

Simple linear regression models using R programming doesn't need to be scary. This video will take you through the basics of how to interpret linear regression results and the code needed to do the regression models. If you are learning...

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...

In this lesson, students will learn about horizontal scaling of quadratic equations. They will explore how the functions F of X, G of X, and H of X are alike and different, and how the value of "a" in the vertex form of the equation...

From the section: Machine Learning: Part 1. In this section, we’ll learn how machine learning works, and how it fits in with the world of AI and deep learning. And learn to train, test and validate the data using K-fold...

In this video, the teacher explains how to find the height of a building and the length of a television using the Pythagorean theorem. They review the formulas for the theorem and demonstrate how to round square roots to the nearest...

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...

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...

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...

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...

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.

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...