Brian McLogan
Learn to implicitly differentiate an equation and define through a point
👉 Learn how to find the derivative of an implicit 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...
Brian McLogan
Determining the roots of a quadratic equation by factoring when a is not one
we find two factors of the product of the constant term (the term with no variable) and the coefficient of the squared variable whose sum gives the linear term. These factors are now placed in separate brackets with x to form the factors...
Brian McLogan
Summary for solving a system of two linear equations by elimination
👉Learn 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...
Flipping Physics
(Torque Solution) Acceleration of a Wheel descending on a Rope
A rope is wrapped around a bicycle wheel with a rotational inertia of 0.68MR^2. The wheel is released from rest and allowed to descend without slipping as the rope unwinds from the wheel. In terms of g, determine the acceleration of the...
Curated Video
Exponential Decay: Understanding the Formula and Solving Problems
This is a lesson on exponential decay, which is the opposite of exponential growth. The presenter explains that exponential decay occurs when the growth rate is negative and provides examples of how to calculate the values of a and b in...
Curated Video
Changes of Medium: Waves Crossing Boundaries
This video is a lecture on how waves change as they cross the boundary between different materials, also known as changes of medium. The video explains what a medium is and how it affects wave propagation. The video uses examples of...
Curated Video
Calculating Exponential Growth and Decay
In this video, the teacher explains how to create and solve simple exponential functions by examining exponential growth and decay problems. Using the example of bacteria growing on a toothbrush, the teacher demonstrates how to calculate...
Curated Video
Determining the Equation of a Polynomial Graph
In this video, the teacher explains how to determine the equation of a polynomial graph by analyzing its end behavior and zeros. They provide examples and step-by-step instructions, highlighting the importance of understanding...
Brian McLogan
Solving a logarithmic equation the easy way with properties of logs
👉 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
How to find the domain of a rational function - domain and range
👉 Learn how to find the domain of rational functions. Recall that the domain of a function is the set of possible input values (x-values) of the function. For a rational function, the denominator cannot be zero. Thus, to find the domain...
Brian McLogan
Tutorial for how to evaluate for the composition of two trigonometric functions
👉 Learn how to evaluate an expression with the composition of a function and a function inverse. Just like every other mathematical operation, when given a composition of a trigonometric function and an inverse trigonometric function,...
Brian McLogan
Solving a trigonometric equation with half angle formulas
👉 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 write a rectangular equation in polar form
Learn how to convert between rectangular and polar equations. A rectangular equation is an equation having the variables x and y which can be graphed in the rectangular cartesian plane. A polar equation is an equation defining an...
Brian McLogan
Use the product rule to take the derivative of an exponential equation
👉 Learn how to find the derivative of exponential and logarithmic expressions. 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...
Brian McLogan
Solve a System of Linear Equations Using Elimination
👉Learn 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
How to find the vertex and axis of symmetry then graph using a table of values
👉 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...
FuseSchool
What Is the Atom Economy?
Learn the basics about the 'Atom Economy' in this video in our Chemical Calculations Series.
TMW Media
Momentum And Impulse: Solving a final problem
Given certain parameters, how would you solve this problem? Momentum And Impulse, Part 5
Curated Video
Adding and Multiplying Equations in a System of Equations
In this video, the teacher explains how to solve a system of equations by adding a multiple of one equation to the other. They review the multiplication property of equality and the addition property of equality. Through trial and error,...
Curated Video
Completing the Square: Algebraic Method for a > 1
In this video, the teacher explains how to complete the square when the coefficient of the quadratic term is greater than one. They demonstrate the process using algebraic steps and provide examples for better understanding.
Brian McLogan
Eliminate the parameter with two linear equations
Learn how to eliminate the parameter in a parametric equation. A parametric equation is a set of equations that express a set of quantities as explicit functions of a number of independent variables, known as parameters. Eliminating the...
Brian McLogan
Finding the rule for a linear function when given a table - How to solve math problems
👉 How to write the rule of a function given the table of values. To write the rule of a function from the table is somehow tricky but can be made easier by having prior knowledge of the type of function. If the function is a linear...
Brian McLogan
Find the derivative of the inverse of a trig equation
👉 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...
Brian McLogan
Solve a system of linear equations using substitution
👉Learn 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...