APMonitor
Data Science 🐍 Solve Equations
Equations are at the root of data science. It is what turns data into actionable information by developing mathematical expressions that mimic physical systems. There are two primary ways to solve equations. The first method is a numeric...
Brian McLogan
What do I need to know to graph a system of linear inequalities
👉 Learn about graphing a system of inequalities. A system of inequalities is a set of more than one inequalities which are to be solved simultaneously. To solve a system of inequalities graphically, we graph the individual inequalities...
Curated Video
Approximating Solutions to Systems of Equations by Graphing
IBy graphing equations and identifying the intersection point, you can determine the approximate solution. This method allows you to visualize the solutions and make estimations even when the intersection point is not on integers.
Curated Video
Determining the Number of Solutions in Equations by Recognizing Patterns
In this video lesson, students will learn how to determine the number of solutions an equation has by recognizing patterns. The teacher explains the concepts of one solution, no solution, and infinite solutions using examples and...
Brian McLogan
How to solve a logarithmic equation with extraneous solution, ln(3x-2)+ln(x-1)=2ln(x)
👉 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...
Curated Video
Finding Imaginary Roots of Quadratic Equations
In this lesson, students will learn how to find imaginary roots of quadratic equations using the square root property. They will review the vocabulary related to quadratic equations and the imaginary unit. Through examples and...
Curated Video
Estimating Solutions of Systems of Equations by Graphing
In this lesson, students will learn how to estimate the solution of a system of equations by graphing. They will review the concept of intercepts and how to find them. By graphing the equations and identifying the point of intersection,...
Brian McLogan
Solving a quadratic equation with imaginary solutions
👉Learn how to solve quadratic equations by factoring when a is equal to 1. A quadratic is an algebraic expression having 2 as the highest power of its variable(s). To factor an algebraic expression means to break it up into factors...
Curated Video
Graphing Linear Inequalities: Modeling Constraints and Solutions
In this video, the teacher explains how to model and solve problems involving linear inequalities with multiple variables. Using the example of determining the number of different types of stamps needed for a specific amount of postage,...
Curated Video
Identifying Extraneous Solutions in Radical Equations
In this video, the teacher explains how to identify extraneous solutions in radical equations. They emphasize the importance of avoiding negative numbers under a square root and explain that a negative radicand leads to an extraneous...
Virtually Passed
A better way to understand Differential Equations | Nonlinear Dynamics (Part 2)
These second-order linear differential equations can be written in the form
dx/dt = ax + by
dy/dt = cx + dy
Depending on the values of a,b,c and d, the dynamics will be very different! They can be characterized by finding the...
Makematic
Global Icons: Koffi Annan
A short animation about the life of Global Icon Koffi Annan and how he represents Understanding Global Issues
Curated Video
Determining Correct Shading of Half Planes on a Graph
In this video, we demonstrate the process of choosing points on the line and in the shaded region to check if they make the inequality true. By using these methods, students can ensure that they have accurately shaded the correct half...
Curated Video
Solving Pairs of Linear Equations Using Patterns
In this video, students learn how to solve pairs of linear equations by using patterns. They explore the concept of solutions to linear systems and how they can be represented graphically. By analyzing the slopes and y-intercepts of the...
Science360
Engineering slick solutions for sticky problems - Science Nation
The natural world has many tricks to teach us about efficiency and design. Take the carnivorous pitcher plant: its super slippery surface acts like a slide for unsuspecting ants that can't stop themselves from sliding right into the...
The Wall Street Journal
Yale Professor Laurie Santos on How to be Happy During a Pandemic
Laurie Santos is the professor behind Psychology and the Good Life, the most popular course in Yale's history. Here, she discusses how we need to reconsider our approach to mental health to cater for the complex emotions triggered by the...
Virtually Passed
2 Degree of Freedom vibrating system Summary
Two blocks oscillating via springs is a 2 DOF system. The final solution will have the form of a
a modal vector times cos(w1t - phi1) + another modal vector times cos(w2t -phi2).
The system is hence said to be oscillating at two...
Brian McLogan
Solve trigonometric equation with sine and tangent
👉 Learn how to solve trigonometric equations by factoring out the GCF. When solving trigonometric equations involving the multiples of the same trigonometric function. It is very useful to collect similar trigonometric functions together...
Curated Video
Understanding the pH Scale: Strong and Weak Acids, Acid Concentration, and pH Measurement
This video is an educational tutorial on the pH scale. The presenter goes over the difference between strong acids and weak acids and explains how they dissociate in an aqueous solution. They also cover acid concentration, which is...
Brian McLogan
How to find the solutions of a quadratic using the quadratic formula
👉 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
Determining the Number of Solutions in an Equation
In this video, the teacher explains how to determine the number of solutions an equation has by simplifying and transforming it into a simpler form. They use patterns and properties of equality to predict the number of solutions.
Brian McLogan
Solving a quadratic by applying the quadratic formula
👉 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...
Food Farmer Earth
Voices of the Field: Women's Influence on Food and Agriculture
"Farmer Jane" celebrates the pivotal roles women play in the sustainable food movement, focusing on their unique contributions to farming, education, and activism. The book uncovers stories of social justice, sustainability, and the...
Why U
Algebra 47 - Describing Infinte Solution Sets Parametrically
When the graph of the solutions of a system of linear equations in three variables is a line in Cartesian space, the solutions can be described either by a group of three parametric equations, or a parametric ordered-triple. This lecture...