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...
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
Use baby numbers to evaluate the right hand limit 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...
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.
ShortCutsTv
Natural Experiments
How do natural experiments differ from Field or Laboratory experiments? Are there different types and what does this research method give to psychologists that other methods don't? This film examines these questions in the context of...
Brian McLogan
Learn how to determine concavity and point of inflection AP style
👉 Learn how to determine the concavity of a function. A function is said to be concave up (convex) if the graph of the curve is facing upwards and the function is said to be concave down (concave) if the graph is facing down. To test for...
Professor Dave Explains
The Complement System: Classical, Lectin, and Alternative Pathways
We are learning about the features of innate immunity, and one that is often overlooked is the complement system. This is a very complicated ensemble of proteins circulating in the bloodstream that activate each other in a specific...
Brian McLogan
Find All the Remaining Rational Zeros Given One Zero
👉 Learn how to find all the zeros of a polynomial given one rational zero. 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...
Brian McLogan
Learn how to find the critical values of a polynomial
👉 Learn how to find the critical values of a function. The critical values of a function are the points where the graph turns. They are also called the turning points of a function. To obtain the critical points of a function, first, we...
Sustainable Business Consulting
The Importance of Marketing and Being Authentic
Discusses the current state of consumer buying power and why it is so important to leverage your sustainability performance and avoid greenwashing
Curated Video
Reductionism
Based around the example of obesity, this film outlines the key ideas underpinning reductionist and holistic approaches in the social sciences.
Brian McLogan
How to use implicit differentiation on an equation for dy dx
👉 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...
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...
Brian McLogan
Given two triangles in the 2nd quadrant evaluate the sum of the angles
👉 Learn how to evaluate the secant of the sum or difference of two angles using the sum/difference formulas. To do this, we first use the Pythagoras theorem to obtain all the sides of the right triangle in the unit circle. Recall that...
msvgo
Factor Theorem
This nugget explains the proof of the Factor theorem. It includes problems and their solutions based on the theorem.
Curated Video
Graphing Quadratic Functions
In this lesson, students will learn how to graph a quadratic function by using the zeros of the function. By understanding the relationship between the area of squares and the zeros of the function, students can easily plot points on a...
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...
Brian McLogan
Given three real zeros, learn how to write the equation of a polynomial
👉 Learn how to write the equation of a polynomial when given rational zeros. Recall that 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...
Brian McLogan
Applying equality property of logarithms to solve by factoring, log4 (x^2 -4)=log4 (-x+2)
👉 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
Domain of a rational function by factoring
👉 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
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
Using zero product property to solve for tangent with a multiple angle
👉 Learn how to solve trigonometric equations using the zero product property. The zero product property states that when the product of two quantities is equal to 0, then either of the quantities is zero. When solving factored...
Brian McLogan
Solving a trigonometric equation by factoring
👉 Learn how to solve trigonometric equations. There are various methods that can be used to evaluate trigonometric equations, they include factoring out the GCF and simplifying the factored equation. Another method is to use a...
Brian McLogan
Convert a rectangular equation to polar form
Convert a rectangular equation to polar form