Brian McLogan
Solve a quadratic by applying the square root method
πLearn 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...
Curated Video
Introduction to Exponential Functions: Graphing and Transformations
This video covers presentations on exponential functions and explores the special exponential function of y = E to the X. The video demonstrates how to calculate gradient functions on exponential graphs and how to sketch variations of...
Catalyst University
Particle-on-a-Ring: Theory and Interpretation
Particle-on-a-Ring: Theory and Interpretation
The Business Professor
Negotiations - Strategic Objectives with Negative Outcomes
This Video Explains Negotiations - Strategic Objectives with Negative Outcomes
Curated Video
Understanding Exponents with Negative Bases
This video, explains how to apply exponents to negative bases by understanding different notations. Understand that a negative sign in front of a base number does not mean a negative base, but rather indicates that the negative should be...
Curated Video
Subtracting Integers Using the Take Away Definition on a Number Line
In this video, students will learn how to subtract integers by using the take away definition of subtraction on a number line. The video explains what integers are, what subtraction is, and how to interpret subtraction as taking away or...
Curated Video
Solving Multistep Word Problems with Positive and Negative Decimals
In this lesson, students will learn how to solve multistep word problems involving positive and negative decimals using mathematical reasoning. They will be guided through an example problem where a student named Henry wants to purchase...
Brian McLogan
Given a Complex Zero Find the Remaining Zeros Using Long Division
π Learn how to find all the zeros of a polynomial given one complex zero. 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...
Brian McLogan
When given a point, how to find the triangle to evaluate for the 6 trig functions
π Learn all about evaluating trigonometric functions with triangles. In this playlist, we will learn how to evaluate, sine, cosine, tangent, cotangent, secant, and cosecant when given the sides of a triangle. If we have missing sides we...
Brian McLogan
Using addition of two angles with triangles to evaluate for cosine
π Learn how to evaluate the secant of the sum or difference of two angles using the sum/difference formulas. To do this, we first use the Pythagoras theorem to obtain all the sides of the right triangle in the unit circle. Recall that...
Brian McLogan
Using the half angle formula for sine
π Learn how to evaluate the tangent of a half-angle. When given the value of the tangent of an angle, we can evaluate the tangent of half the angle using the tangent half-angle formula. When the value of any other trigonometric function...
Brian McLogan
Solving an equations using the sum and difference formulas of cosine
π Learn how to solve equations using the angles sum and difference identities. Using the angles sum and difference identities, we are able to expand the trigonometric expressions, thereby obtaining the values of the non-variable terms....
Brian McLogan
Determining negative slope from a graph
π Learn how to find the rate of change from graph. The rate of change is the rate at which y-values are changing with respect to the change in x-values. To determine the rate of change from a graph, a right triangle is drawn on the graph...
The Business Professor
Primary Market Research Methods
This video defines what is a Primary Research Method in Marketing.
Curated Video
Completing the Square Using Algebra
In this video, you will learn how to complete the square using algebra. We go through the steps to determine the values of A, B, and C in a quadratic expression and how to use them to complete the square. Through these examples, you will...
Why U
Algebra 45 - Three Variable Systems with Infinite or Null Solution Sets
When solving a system of linear equations with a single solution, we get a unique value for each variable. But how do we recognize when a system of equations has infinitely many solutions or no solutions?
Brian McLogan
Finding the implied domain of a function
π Learn how to find the domain of a radical function. Recall that the domain of a function is the set of possible input values (x-values) of the function. For a radical square-root function, there cannot be a negative number inside the...
Brian McLogan
Finding the formula for a sequence of terms
π Learn how to write the rule of a sequence given a sequence of numbers. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. To write the explicit formula of...
Brian McLogan
Limits at infinity
π We will explore how to evaluate the limit at infinity. When evaluating the limit at infinity or negative infinity we are interested to know where is the graph going right and left. This is also commonly explored as end behavior of the...
Brian McLogan
How to subtract two vectors by adding
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.
Brian McLogan
How to evaluate the left hand limit algebraically with a radical
π Learn how to evaluate the limit of a function by rationalizing the radical. 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. The limit...
Brian McLogan
Learn to find the zeros of a quadratic using the quadratic formula
π 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...
Catalyst University
Lachman's Test | Rationale & Interpretation
In this video, I explain and demonstrate Lachman's test, a special test used in the assessment of ACL injuries. More specifically, we will cover the procedure, interpretation of results, and its psychometric properties.