Brian McLogan
Solving a natural logarithmic equation using the quadratic formula
👉 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
Learn how to determine the derivative of a reciprocal function
👉 Learn how to find the derivative of a function using the power rule. 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...
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
Finding a rule from a table of values using a combination of operations - Cool math
👉 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
How to find the difference of two vectors
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
Determine the left and right hand limits using infinity of a function
👉 Learn how to evaluate the limit of a function involving rational expressions. 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...
Brian McLogan
Learn how to subtract a mixed number from a negative mixed number
👉 Learn how to add and subtract mixed numbers. Mixed numbers are numbers with two parts: the whole number part and the fraction part. Mixed numbers are ways to represent improper fractions using proper fractions. To add or subtract mixed...
Curated Video
Adding Integers with the Same Sign
In this video lesson, students will learn how to add integers with the same sign by analyzing the rules using a number line. The teacher explains the concept of absolute value and emphasizes the importance of moving in the correct...
Curated Video
Understanding Quadrants and Coordinate Planes
In this video, students learn about quadrants and how they relate to coordinate planes. The video explains how to determine the quadrant of a point by examining the values of an ordered pair. It also introduces the concept of UPS (Unique...
Curated Video
Adding Positive and Negative Integers Using a Number Line
This video explains the concept of integers and addition, and demonstrates how to graphically represent the addition of positive and negative numbers on a number line. Through clear examples and step-by-step instructions, students will...
Catalyst University
Power Series: Computing Integrals via Power Series: Example 1
Power Series: Computing Integrals via Power Series: Example 1
Brian McLogan
Learn how to write the domain of a rational function using interval notation
👉 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
Evaluate left hand limits algebraically of a rational function
👉 Learn how to evaluate the limit of a function involving rational expressions. 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...
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...
Curated Video
Classification Versus Regression Versus Clustering Machine Learning Types
In this video, we will cover classification versus regression versus clustering machine learning types. This clip is from the chapter "Fundamental Principles of Machine Learning on Azure (30- 35%)" of the series "AI-900: Microsoft Azure...
Catalyst University
Real Gas Behavior | The Hard Shell Model [Example #2]
In this video, we work with the Hard Shell gas mode to calculate the work done by an expanding gas. Uses integration calculus.
Curated Video
Completing the Square with a > 1: Using Models and Symbols
Learn how to complete the square with or without a model when the coefficient of x^2 (a) is greater than one. Explore the process step by step, using both an area model and the traditional method. By comparing the two approaches, you...
Catalyst University
Power Series | Power Series & Interval of Convergence: Example 3
Power Series | Power Series & Interval of Convergence: Example 3
Catalyst University
Series | Alternating Series Test (with Conditional/Absolute Convergence): Examples 1 & 2
Series | Alternating Series Test (with Conditional/Absolute Convergence): Examples 1 & 2
Brian McLogan
How to find all the roots of a polynomial by factoring
👉 Learn how to find all the zeros of a polynomial. 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 polynomial are the values...
Curated Video
C++ for Beginners - Simple Data Type: int
In this lesson, your instructor David, examines integers; signed and unsigned, how large or small they can be, and what happens if they exceed these limits. This clip is from the chapter "Variables and Assignments" of the series "C++ for...
Brian McLogan
How to Use the Double Angle Formula to Solve for the Values of X
👉 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
How to find the speed and direction of a boat with current using vectors
How to find the speed and direction of a boat with current using vectors
Brian McLogan
Learn how to subtract vectors and represent the solution
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.