Introduction to Quadratics

What is the minimum angular speed necessary to keep water in a vertically revolving bucket? The rope radius is 0.77 m.

This video is a review of Two Dimensional Vectors. Topics include vectors in a coordinate system, vectors in standard position, and component form of a vector.

👉 Learn how to find the derivative of the inverse of a 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...

In this video, the teacher explains how to identify extraneous solutions in radical equations. They emphasize the importance of avoiding negative numbers under a square root and explain that a negative radicand leads to an extraneous...

👉 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...

👉 Learn all about the quadratic formula. The quadratic formula is a formula which can be used to find the roots of (solve) a quadratic equation. The quadratic formula is given by x = (-b +/- sqrt(b^2 - 4ac)) / 2a, where a is the...

This video will teach you the basics of calculating the derivative of simple polynomials and exponential functions using the constant multiple, sum and difference rule.

👉 Learn how to find the points of inflection of a function given the equation or the graph of the function. The points of inflection of a function are the points where the graph of the function changes its concavity. The points of...

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)

👉 Learn how to solve quadratic equations using the quadratic formula. A quadratic equation is an equation whose highest power on its variable(s) is 2. The quadratic formula is a formula which can be used to find the roots of (solve) a...

A 73 kg mr.p steps off a 73.2 cm high wall. If mr.p bends his knees such that he stops his downward motion and the time during the collision is 0.28 seconds, what is the force of impact caused by the ground on mr.p?

This video goes over the dot product also known as the scalar product. This video covers direction angles and direction cosines. 3 examples are also covered illustrating how to solve problems involving direction angles and direction...

In this video series you will learn multiple math operations. I teach in front of a live classroom showing my students how to solve math problems step by step. My math tutorials should be used to review previous lessons, complete your...

A formal proof of the parallel axis theorem. It's really useful for finding moments of inertia of composite objects and also objects which aren't rotating around the center of mass.

In this lesson, students will learn about imaginary numbers by exploring the concept of the imaginary unit, denoted by the letter "I." They will understand that imaginary numbers, such as I, exist outside of the real number system and...

This video is a review of Two Dimensional Vectors. This video goes over 6 examples that make use of unit vectors.

This video demonstrates a practical application of machine learning.
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This clip is from the chapter "Linear Regression: A Simple Model" of the series "Data Science and Machine Learning with R from A-Z Course [Updated for...

Although the Greeks initially thought all numeric qualities could be represented by the ratio of two integers, i.e. rational numbers, we now know that not all numbers are rational. How do we know this?

👉 Learn how to find the derivative of a function using the power 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 variable x. The process of finding the derivative...

👉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...

In this lesson, students will learn how to simplify positive integer powers of the imaginary unit, "i". By considering the remainder when the exponent is divided by 4, students can easily determine the simplified value. The lesson...

In this lesson, students will learn how to determine whether relations are functions by using the vertical line test and analyzing algebraic equations. They will understand that not all equations are functions, and that it is important...

👉 Learn how to find all the zeros of a polynomial. 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 zeros of a polynomial are the values...