It defines circle as locus, and derive its Cartesian equation. It also explains how to determine intercepts and check symmetry for a given circle.

Learn how to solve problems using linear programming. A linear programming problem involves finding the maximum or minimum value of an equation, called the objective functions, subject to a system of inequalities, called the constraints....

Learn all about parabolas in conic sections. We will discover the basic definitions such as the vertex, focus, directrix, and axis of symmetry. We will also take a look a basic processes such as graphing, writing the equation and...

👉 Learn how to determine whether relations such as equations, graphs, ordered pairs, mapping and tables represent a function. A function is defined as a rule which assigns an input to a unique output. Hence, one major requirement of a...

Definitions are very important to your understanding of why and how we use mathematical processes. Without understanding what a process or certain terms mean it is very hard to understand how or why to do something. That is why I want to...

👉 Learn how to graph quadratics in standard form. A quadratic equation is an equation whose highest exponent in the variable(s) is 2. To graph a quadratic equation, we make use of a table of values and the fact that the graph of a...

A while ago we took the Political Compass test & safe to say... we didn't love it. So this time round we asked our team & audience to take the 8values test, an alternative political test. So in this video we explain the test, reveal our...

Learn how to convert points between rectangular and polar. Rectangular points measure the horizontal and vertical distance away from the origin whereas polar coordinates measure the direct distance and angle in standard position from the...

👉 Learn how to graph linear inequalities written in standard form. Linear inequalities are graphed the same way as linear equations, the only difference being that one side of the line that satisfies the inequality is shaded. Also broken...

In this video, I explain and demonstrate the transverse ligament stress test, which is used to assess integrity of the transverse cervical ligament. More specifically, we cover its rationale, interpretation of results, and psychometric...

We use integrals to derive the #rotationalinertia of a uniform, long, thin rod. And we demonstrate our answer is correct using a Rotational Inertia Demonstrator.

This video continues the exploration of a three dimensional cartesian coordinate system.This video covers three slightly more challenging examples requiring the use of the distance formula in three dimensions.

You should already know what a straight line, quadratic, cubic and reciprocal look like when plotted on a graph. In this video we will discover what the sin, cos and tan graphs look like and also exponential functions. You don't...

Learn all about parabolas in conic sections. We will discover the basic definitions such as the vertex, focus, directrix, and axis of symmetry. We will also take a look a basic processes such as graphing, writing the equation and...

👉 Learn how to evaluate the six trigonometric functions given a point. When given a point, there are many ways to evaluate the trigonometric functions of the point. The methods include: using the unit circle if the point is a point on...

👉 Learn the essentials for graphing a quadratic equation. A quadratic equation is an equation of the form y = ax^2 + bx + c, where a, b and c are constants. The graph of a quadratic equation is in the shape of a parabola which can either...

👉 Learn how to graph a system of inequalities. A system of inequalities is a set of inequalities which are collectively satisfied by a certain range of values for the variables. To graph a system of inequalities, each inequality making...

👉 Learn how to graph linear equations from the table of points. When given the table of points of a linear equation, we plot the x and y coordinates of the given table on the cartesian plane and join the ploted points to form a straight...

In this video, the teacher explains how to find zeros of a polynomial geometrically using graphs. They demonstrate how to plot points and draw graphs for linear, quadratic, and cubic polynomials, and how the number of cuts on the X axis...

A block is sliding down a circular path and colliding with a spring. What is the maximum compression of the spring?

This video covers the equation of motion for a block connected to a base via spring & damper if the base is undergoing sinusoidal motion.

In this video, we discuss the mechanisms by which sarcomeres can be added or removed from skeletal muscle myofibrils: in parallel or in series.

This video lesson teaches students how to calculate average speed using a graph. It explains the concept of rates and unit rates, and demonstrates how to find the unit rate from a given rate. The lesson also introduces the coordinate...

A graph in Cartesian coordinates may represent a function or may only represent a binary relation. The "vertical line test" is a simple way to determine whether or not a graph represents a function.