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Professor Dave Explains
The Divergence Theorem
Green's Theorem gave us a way to calculate a line integral around a closed curve. Similarly, we have a way to calculate a surface integral for a closed surface. That's the Divergence Theorem. This is also known as Gauss's Theorem, and...
Brian McLogan
How to find the inverse of a trig value
π Learn how to evaluate the inverse of reciprocal trigonometric functions. Recall that the reciprocal trigonometric functions are given by the ratio of 1 and the corresponding trigonometric function. When an angle is unknown but the...
Brian McLogan
Overview of combining functions
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...
Brian McLogan
Evaluate an expression with three variables
π Learn how to evaluate mathematics expressions. A mathematics expression is a finite combination of numbers and symbols formed following a set of operations or rules. To evaluate a mathematics expression means to obtain the solution to...
Curated Video
Evaluating the Accuracy of Descriptions of Mathematical Expressions
In this lesson, we learned how to evaluate the accuracy of written descriptions of mathematical expressions. We discovered that it is important to be specific and avoid descriptions that can apply to multiple expressions.
Curated Video
Evaluating Algebraic Expressions
Evaluate algebraic expressions with two or more variables and multiple steps.
Curated Video
Understanding Price Elasticity of Demand
This video discusses the topic of elasticity, specifically the price elasticity of demand within the context of the impact of Brexit on the UK agricultural market. The video explores the concept of elasticity and how it can be used to...
Brian McLogan
What do you need to know to solve one variable inequalities
π Learn about solving an inequality and graphing it's solution. An inequality is a relation where the expression in the left hand side is not equal to the expression in the right hand side of the inequality sign. A linear inequality is...
Professor Dave Explains
Finding the Area Between Two Curves by Integration
How to find the area between two curves by integration.
Brian McLogan
Evaluating a limit at infinity horizontal asymptote
π We will explore how to evaluate the limit at infinity. When evaluating the limit at infinity or negative infinity we are interested to know where is the graph going right and left. This is also commonly explored as end behavior of the...
Brian McLogan
Evaluating the limit at infinity find horizontal asymptote
π We will explore how to evaluate the limit at infinity. When evaluating the limit at infinity or negative infinity we are interested to know where is the graph going right and left. This is also commonly explored as end behavior of the...
Science Buddies
Which should you choose? Scientific Method versus Engineering Design Process
When should you use the Scientific Method? Would the Engineering Design Process be a better choice? If you arenβt sure then this video can help! We compare both methods step-by-step using a real-world example.
Curated Video
Analyzing Domain and Range of Functions
In this video, the teacher explains the concept of restrictions on the domain and range of functions. Using the example of Emily purchasing music albums with a gift card, the teacher demonstrates how certain values of x can make a...
Math Fortress
Algebra I: Grouping Symbols (Level 2 of 2)
This video goes over a couple of examples showing how to simplify and evaluate algebraic expressions with and without grouping symbols.
Curated Video
Writing and Evaluating Algebraic Expressions Using a Table
In this video, the teacher explains how to write and evaluate algebraic expressions with multiple operations by using the order of operations. They also provide a real-world scenario of a person saving money and paying parking fees, and...
Sophia Learning
Sophia: Simple Factoring: Lesson 1
This lesson shows how to identify common factors in an equation and factor them out to make solving simpler. It is 1 of 13 in the series titled "Simple Factoring."
Sophia Learning
Sophia: Creating a Function Table for Real Life: Lesson 1
This video lesson [3:12] describes, step by step, how to use various operations to create a function table. It is 1 of 7 in the series titled "Creating a Function Table for Real Life."
Sophia Learning
Sophia: Evaluating a Function for a Function: Lesson 11
This lesson explains step by step how to use one function to evaluate another function. It is 11 of 11 in the series titled "Evaluating a Function for a Function."
Sophia Learning
Sophia: Evaluating a Function for a Function: Lesson 8
This lesson explains step by step how to use one function to evaluate another function. It is 8 of 11 in the series titled "Evaluating a Function for a Function."
Sophia Learning
Sophia: Evaluating a Function for an Algebraic Expression: Lesson 7
This lesson describes how to plug a function into an expression for every x appearance in order to evaluate a function for an algebraic expression. It is 7 of 10 in the series titled "Evaluating a Function for an Algebraic Expression."
Sophia Learning
Sophia: Evaluating a Function for an Algebraic Expression: Lesson 8
This lesson describes how to plug a function into an expression for every x appearance in order to evaluate a function for an algebraic expression. It is 8 of 10 in the series titled "Evaluating a Function for an Algebraic Expression."
Sophia Learning
Sophia: Evaluating a Function for a Variable: Lesson 12
The topic covered in this lesson is that entering the variable into the function for every appearance of x will evaluate the function for a variable. It is 12 of 12 in the series titled "Evaluating a Function for a Variable."