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...
Brian McLogan
Learn how to graph & label the parts of a parabola with completing the square
Learn how to graph a parabola in when it is given in general form. To graph a parabola in conic sections we will need to convert the equation from general form to standard form by completing the square. Once it is in standard form we can...
Brian McLogan
Given the vertices and foci, write the standard equation of an ellipse
Learn how to write the equation of an ellipse from its properties. The equation of an ellipse comprises of three major properties of the ellipse: the major radius (a), the minor radius (b) and the center (h, k). The ellipse is vertical...
Curated Video
Apache Maven Beginner to Guru - Introduction to Maven Settings
This video introduces you to Maven settings. This clip is from the chapter "Maven Repositories" of the series "Apache Maven: Beginner to Guru".This section provides an explanation of Maven repositories.
Brian McLogan
Using the double angle formula for sine to solve the trigonometric function
π 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...
Brian McLogan
Write the vector in component form and then determine the magnitude
Learn how to write a vector in component form given two points and also how to determine the magnitude of a vector given in component form. Given two point vectors with one representing the initial point and the other representing the...
Brian McLogan
How do you convert a vector to component form
In this video playlist I show you how to solve different math problems for Algebra, Geometry, Algebra 2 and Pre-Calculus. The video will provide you with math help using step by step instruction. Math help tutorials is just what you need...
Brian McLogan
Solve a System of Equations Using Elimination with Fractions
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...
Brian McLogan
Factor using the quadratic formula finding real irrational roots
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...