Brian McLogan
How to graph a horizontal parabola by completing the square first (mistake)
Learn how to graph a horizontal parabola. A parabola is the shape of the graph of a quadratic equation. A parabola is said to be horizontal if it opens to the left or opens to the right. A horizontal parabola results from a quadratic...
Brian McLogan
Learn how to identify if a function is a polynomial and identify the degree and LC
π Learn how to determine whether a given equation is a polynomial or not. A polynomial function or equation is the sum of one or more terms where each term is either a number, or a number times the independent variable raised to a...
Brian McLogan
Applying the difference of two squares to solve a quadratic
πLearn how to solve quadratic equations by factoring the difference of two squares. We can identify the difference of two squares but looking for binomials that have square terms. Difference of two square quadratic equations is of the...
Brian McLogan
Solve a system of linear equations using substitution
πLearn how to solve a system of equations by substitution. To solve a system of equations means to obtain a common values of the variables that makes the each of the equation in the system true. To solve a system of equations by...
Brian McLogan
Writing an equation using point slope form given a point and slope
π Learn how to write the equation of a line in a point-slope form. The equation of a line is such that its highest exponent on its variable(s) is 1. (i.e. there are no exponents in its variable(s)). There are various forms which we can...
Catalyst University
Calculating Thermochemical Radii from Born-Lande Equation
Calculating Thermochemical Radii from Born-Lande Equation
Catalyst University
Series | The Integral Test: Theory and 1 Full Example
Series | The Integral Test: Theory and 1 Full Example
Brian McLogan
Learn how to add two functions rational
π Learn how to add or subtract two functions. Given two functions, say f(x) and g(x), to add (f+g)(x) or f(x) + g(x) or to subtract (f - g)(x) or f(x) - g(x) the two functions we use the method of adding/subtracting algebraic expressions...
Curated Video
Vector Geometry and the Ratio Theorem Explained
This video is a lecture presentation on vector geometry and the ratio theorem. The presenter explains the fundamentals of vector geometry and then goes on to explain how to use the ratio theorem to find a vector to a point that divides a...
Brian McLogan
Solving a quadratic by applying 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...
Brian McLogan
Using Multipliers to Solve a System of Equations Using Elimination
πLearn 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...
Catalyst University
Michaelis-Menten Rate Equation: Theory and Derivation
Michaelis-Menten Rate Equation: Theory and Derivation
Virtually Passed
Pulley example 1
To find the acceleration of the masses and the tension in the cable I recommend the following steps: 1) Draw FBD 2) Define axes 3) Apply newtons 2nd law 4) Find acceleration relationship Since we're dealing with a massless set of pulleys...
Brian McLogan
Solve a logarithmic equation with quadratic formula
π 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...
Brian McLogan
Overview of properties of logs using division
π Learn how to condense/expand logarithmic expressions. A logarithmic expression is an expression having logarithms in it. To condense logarithmic expressions means to use the logarithm laws to reduce logarithm expressions from the...
Brian McLogan
How to find the vertices, foci and center of an ellipse
Learn how to graph horizontal ellipse not centered at the origin. A horizontal ellipse is an ellipse which major axis is horizontal. To graph a horizontal ellipse, we first identify some of the properties of the ellipse including the...
Brian McLogan
Solving an equation using the half angle formula of sine
π Learn how to solve equations using half-angle identities. To do this we will replace every trig function with half angles using the identity. Then we will simplify and solve trigonometric functions. To find the values we will use the...
Brian McLogan
How to convert a polar equation to rectangular form of a circle
How to convert a polar equation to rectangular form of a circle
Curated Video
Completing the Square to Reveal Maximum When a=-1
This video introduces how to find the maximum value of a quadratic function by completing the square. It goes through the process step by step, emphasizing the importance of factoring out the leading coefficient and adding/subtracting...
Catalyst University
General Chemistry | Calculating Frequency (Ξ»), Wavelength (π), & Energy
In this video, we use the following equations to interconvert between and do calculations with Frequency (Ξ»), Wavelength (π), & Energy: 1) E=hπ 2) π=c/Ξ» 3) E=hc/Ξ»
Catalyst University
Chemistry Basics of Scientific Notation
In this video, we will explore: 1) How to write a decimal number in scientific notation. 2) How to convert from scientific notation back to decimal notation.
Brian McLogan
How to find the center, foci and vertices of an ellipse
Learn how to graph vertical ellipse which equation is in general form. A vertical ellipse is an ellipse which major axis is vertical. When the equation of an ellipse is written in the general form, we first rewrite it in standard form...