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
How to rationalize the radical to evaluate a limit
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
Take the derivative using the chain rule and trig functions
π Learn how to find the derivative of a function using the chain 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
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...
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.
Math Fortress
Calculus II: Integration By Parts (Level 3 of 6)
This video goes over 2 examples, covering the proper way to find integrals that require the repeated application of the integration by parts formula. In addition, the tabular method for integration by parts is also introduced.
Brian McLogan
Subtracting the two vectors with a scalar and graphing
Learn how to determine the resultant vector by adding, subtracting and multiplying vectors by a scalar. We will also learn how to graph the resultant vectors to show the operations. Vectors can be added, subtracted and multiplied. To add...
Brian McLogan
Learn how to solve a quadratic equation 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...
Curated Video
Describe an advanced data structure : From Painfully Slow to Optimal: The Maximum Sum Subarray
From the section: Doing a Lot with Very Little. In this section, we will explore some problems that look difficult to solve efficiently at first sight. You might think that they require some advanced logic or data structures, but in fact...
Virtually Passed
projectile with drag part 1
What is the equation of motion of a particle that has a drag force acting on it? It's important to note that we've assumed that the drag force is proportional to the velocity at all times. In reality, other factors are involved too like...
KnowMo
Adding and Subtracting Fractions: Common Denominators and Mixed Numbers
This video is a tutorial on how to add and subtract fractions, including mixed numbers. The presenter emphasizes the importance of having a common denominator before adding or subtracting fractions with different denominators. They...
Brian McLogan
Find the derivative of the reciprocal function using the difference quotient
π Learn how to evaluate the limit of a function using the difference quotient formula. The difference quotient is a measure of the average rate of change of the function over an interval, h. The limit of the difference quotient gives the...
Brian McLogan
Determine the left and right hand limits at infinity of a function
π 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...
Curated Video
Adding and Subtracting Polynomials without Like Terms
In this video, the teacher explains how to combine polynomials without like terms by adding and subtracting them. They demonstrate different methods, such as vertical addition and creating tables, to help students understand the concept.
Brian McLogan
Add subtract complex rational numbers
In this videos series I show you how to add and subtract complex rational numbers. Just like any rational numbers we need to have the denominators equal. So for these problems we work on finding the least common denominator and then...
Brian McLogan
How to find the solutions when solving a logarithmic equation
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
What do you need to know to write the equation of a parabola
Learn all about parabolas in conic sections. We will discover the basic definitions such as the vertex, focus, directrix, and axis of symmetry. We will also take a look a basic processes such as graphing, writing the equation and...
Brian McLogan
Solving a system of equation with infinite solutions 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...
Virtually Passed
mechanical energy example problem part 1
What is the velocity of the black just BEFORE it hits the spring? Notice that the 2 non conservative forces are your normal force and your friction force. i) 2.56m/s ii)0.0989m
Catalyst University
Quantum Mechanics | Particle-on-a-Ring: Energy and Momentum Calculations
In this video, I calculate the energy and momentum for an electron in a quantized system (a porphyrin). ***Using the particle-on-a-ring model.
Brian McLogan
Learn how to take derivative using the quotient rule inside of the chain rule
π Learn how to find the derivative of a function using the chain 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
How to use the quadratic formula to solve a quadratic equation
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
Subtracting two mixed numbers - Math Practice - Tutoring Online
π 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...
Virtually Passed
Math Puzzle - Inventing a function
What is a function f(x) such that: x f(x) 1 1 2 1 3 2 4 2 5 3 etc... The trick to solving this puzzle is to find a function which returns 1 for even numbers and 0 for odd numbers!