👉Learn how to solve a system (of equations) by elimination. A system of equations is a set of equations which are collectively satisfied by one solution of the variables. The elimination method of solving a system of equations involves...

👉 Learn how to determine if an equation is a linear equation. A linear equation is an equation whose highest exponent on its variable(s) is 1. The variables do not have negative or fractional, or exponents other than one. Variables must...

This video is a lecture presentation on solving questions involving the general exponential formula, specifically in the context of population growth. The presenter goes through three separate questions, demonstrating how to use the...

Learn how to complete the square with or without a model when the coefficient of x^2 (a) is greater than one. Explore the process step by step, using both an area model and the traditional method. By comparing the two approaches, you...

In this video, the teacher explains how to solve equations using a balance scale as a visual representation. The lesson emphasizes the importance of maintaining balance by removing the same quantities from both sides of the equation.

This video explains how to evaluate functions written in function notation by substituting specific domain values. It discusses the concept of relations and functions and show examples of determining if a relation is a function or not....

In this lesson, students will learn how to graph a quadratic function by using the zeros of the function. By understanding the relationship between the area of squares and the zeros of the function, students can easily plot points on a...

Now that we understand the Schrödinger equation, it's time to put it to good use, and solve a quantum problem. Let's find the eigenfunctions and eigenenergies associated with a quantum particle restricted to an infinite square well. This...

Series | Alternating Series Test (with Conditional/Absolute Convergence): Examples 1 & 2

👉 Learn about solving logarithmic equations. Logarithmic equations are equations involving logarithms. To solve a logarithmic equation, we first use our knowledge of logarithm laws/properties to express the terms in both sides of the...

👉 Learn how to evaluate an expression with the composition of a function and a function inverse. Just like every other mathematical operation, when given a composition of a trigonometric function and an inverse trigonometric function,...

👉 Learn how to use the double angle identities to solve trigonometric equations. When we have equations with a double angle we will apply the identities to create an equation that can help solve by inverse operations or factoring. We...

👉 Learn how to solve trigonometric equations using the zero product property. The zero product property states that when the product of two quantities is equal to 0, then either of the quantities is zero. When solving factored...

👉 Learn how to solve trigonometric equations. There are various methods that can be used to evaluate trigonometric equations, they include factoring out the GCF and simplifying the factored equation. Another method is to use a...

In this video series I will show you how to apply the dot product of two vectors and use the product to determine if two vectors are orthogonal or not. The dot product does not produce another vector like scalar multiplication but rather...

Learn how to add/subtract vectors. Vectors can be added, subtracted and multiplied. To add or subtract two or more vectors, we simply add each of the corresponding components of the vectors.

In this video, the teacher explains how to check for extraneous solutions in rational equations. They demonstrate the process step by step, emphasizing the importance of isolating x and avoiding 0 as a denominator.

This video introduces the basic concepts associated with solutions of ordinary differential equations. This video goes over 2 slightly more challenging examples illustrating how to verify implicit solutions, find explicit solutions, and...

👉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...

An advanced free-fall acceleration problem involving 2 parts and 2 objects. Problem: You are wearing your rocket pack (total mass = 75 kg) that accelerates you upward at a constant 10.5 m/s^2. While preparing to take pictures of the...

Deriving the integral equation for the moment of inertia or rotational inertia of a uniform solid cylinder.

In this video, the teacher explains how to solve a system of equations that includes both a quadratic and a linear equation by graphing. They emphasize the importance of accurately sketching the graphs and provide examples to illustrate...

In this lesson, students will learn how to solve a system of a quadratic and linear equation using substitution. They will understand that a system is a group of equations and its solution makes both equations true simultaneously.

👉 Learn how to write the equation of a polynomial when given rational zeros. Recall that a polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. The...