In this video, we learn how to relate changes in the edges of a cube to changes in its volume using polynomial equations. We explore the concept of polynomial identities and how they can be used to simplify expressions and find the new...

This video goes over the dot product also known as the scalar product. This video goes over 11 examples illustrating how to solve problems that make use of the geometric and component definition of the dot product.

Quantum Harmonic Oscillator: Calculating Zero-Point Energy and Energy Spacing

In this video, students learn how to mentally evaluate expressions with powers of 10 by using patterns in place value. They are taught that when multiplying or dividing by a power of 10, the decimal point is shifted accordingly.

In this video lesson, you will learn how to add complex numbers. Understand the components of a complex number and demonstrates how to combine like terms to simplify expressions. Through step-by-step examples, you will gain a clear...

Solutions to Problem 31.

This video goes over the dot product also known as the scalar product. This video ends the dot product series by going over 3 proofs specifically the Cauchy-Schwarz Inequality, Triangle Inequality and the Parallelogram Law.

If a term raised to a power is enclosed in parentheses and then raised to another power, this expression can be simplified using the rules of multiplying exponents.

Here I describe the main formulas used for harmonic excitation. #SoME1 ▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀ TIME STAMPS 0:00 - Introduction 0:27 - Experiment Results 0:51 - Forced Vibration SMD model 2:04 - Time domain plot 2:54 - Amplitude...

This video goes over the dot product also known as the scalar product. This video goes over 5 examples illustrating how to solve problems that make use of the geometric and component definition of the dot product.

👉 Learn how to find the extrema of a function using the second derivative test. The second derivative test states that if a function has a critical point for which f'(x) = 0, and the second derivative is positive, then the function has a...

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...

I derive the formula for Kinetic Energy and show that the total work done by all the forces acting on an object = 0.5 m (V2^2 - V1^2)

This video explores the formation of Telangana, a new state in India, and the reasons behind its separation from Andhra Pradesh. It highlights the complexities of Indian society, with its diverse languages, religions, and castes, and the...

This math program explores the major mathematical laws on properties including the cummutative property, associative property, and additive identity property. Colorful real-world examples help make these confusing concepts easy to...

Obscenity Unprotected Speech

Calculating Keq from Free Energy

This video goes over the dot product also known as the scalar product. This video goes over 3 examples illustrating how to find the scalar projection, vector projection, and orthogonal projection.

This video is an introduction to solving trigonometric integrals that contain combinations of trigonometric functions. Specifically, those that contain powers of sine and cosine. This video covers 1 basic example illustrating the case...

This Video Explains Obscene Speech and the 1st Amendment

In this video, students learn how to prove a pattern in a relationship by squaring the sum of two terms. They are shown how to distribute the terms and simplify the expressions to arrive at an identity. The video also provides an example...

From the section: Introduction to Python. In this section we look at Python's fundamental, built-in data structures, and discuss how and when to use them. This video will give you an overview of the variables and data types. • Create...

👉 Learn how to evaluate the limit of a function involving trigonometric 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....

👉 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...