KnowMo
Advanced Types of Sequences: Fibonacci, Quadratic and Geometric Progressions
In this video lecture, the instructor introduces advanced types of sequences, including balance sequences, quadratic sequences, and geometric progressions. The instructor explains how to identify these different types of sequences and...
Virtually Passed
Relative motion (with rotating axes) Summary
The equations for NON rotating reference axes are: Va = Vb + Va/b and a_a = a_b + a_a/b But these equations are only true if the relative axes are not rotating. If the relative frame of reference xy is rotating (eg think of a policeman...
Virtually Passed
Energy analysis of forced spring mass damper system
Here I derive expressions for the energy added per cycle due to both the harmonic excitation force and the damper. The work done by the spring per cycle = 0. An alternative way to approach this is to find the average power into the system.
Why U
Pre-Algebra 28 - Raising Products and Quotients to Powers
Any expression consisting of multiplied and divided terms can be enclosed in parentheses and raised to a power. This can then be simplified using the rules for multiplying exponents.
Brian McLogan
Using mathematical induction to prove a formula
👉 Learn how to apply induction to prove the sum formula for every term. Proof by induction is a mathematical proof technique. It is usually used to prove that a formula written in terms of n holds true for all natural numbers: 1, 2, 3, ....
Brian McLogan
How to complete the square to identify the vertex of a parabola
We will learn how to graph a quadratic in vertex form and graph a quadratic in standard form by completing the square and rewriting the equation in vertex form. When the quadratic is in vertex form we learn how to identify the axis of...
Curated Video
Introduction to Raising Finance for Businesses
This is a lecture video that introduces the topic of raising finance for businesses. The video covers why businesses might need to raise money and the different situations in which this might occur, including starting up, growth, and...
Catalyst University
Type II Alveolar Cells | Pulmonary Surfactant
Type II Alveolar Cells | Pulmonary Surfactant
The Wall Street Journal
What Is Feminism's Future?
Amber Tamblyn, an actress and writer, speaks with WSJ Editor for Audience and Analytics Carla Zanoni, about what gender norms mean today and tomorrow.
Curated Video
Finding the Minimum Value of a Quadratic Function by Completing the Square
This video explores the process to find a minimum value in a quadratic function by completing the square. We use two examples and highlight common mistakes to avoid. By rewriting the function in a different form, the minimum value...
Religion for Breakfast
The Rise of Atheist Churches?
As religiously unaffiliated people become a larger and larger portion of the US population, scholars are noticing a rise in atheist/humanist/agnostic gatherings that mirror some of the characteristics of Christian churches (i.e. meeting...
Brian McLogan
Verifying a trigonometric identity with multiple steps
👉 Learn how to verify rational trigonometric identities involving the addition and subtraction of terms. To verify trigonometric expression means to verify that the term on the left-hand side of the equality sign is equal to the term on...
Brian McLogan
How to find the integral using long division and natural logarithms
👉 Learn how to evaluate the integral of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as an indefinite integral or as a definite...
Brian McLogan
Determining if a function is a polynomial or not then determine degree and LC
👉 Learn how to determine whether a given equation is a polynomial or not. A polynomial function or equation is the sum of one or more terms where each term is either a number, or a number times the independent variable raised to a...
Virtually Passed
Bayes' theorem alternative proof (using algebra)
There are many ways to prove Bayes' theorem. This is an alternative proof which is more algebra heavy and doesn't rely on a strong knowledge of conditional probability. I am an Engineer, not a medical professional. I chose the topic of...
Brian McLogan
Learn how to graph a parabola in conic sections
Learn how to graph a parabola in standard form when the vertex is not at the origin. We will learn how to graph parabola's with horizontal and vertical openings. In addition to graphing you will also learn how to identify the important...
The Wall Street Journal
The State of Play
What you must understand about the evolution of AI, the business adoption curve, and how they will a ect your business during the next few years.
Curated Video
Understanding the Purpose of Explicit and Recursive Formulas in Sequences
By understanding when and how to use each formula, students will be able to efficiently find specific terms in a sequence without having to generate the entire sequence. This lesson emphasizes the importance of using the appropriate...
Music Matters
How to Play Ornaments on the Piano - Music Performance
How to play ornaments on the piano. We take a melody and fill it with the most commonly used ornaments, explaining what all the different signs for musical ornaments are and how each should be played. The lesson covers the Trill, the...
Catalyst University
Lineweaver-Burke Equation: Theory and Derivation
Lineweaver-Burke Equation: Theory and Derivation
Curated Video
Completing the Square to Reveal the Minimum When a > 1
In this lesson you will learn how to rewrite a quadratic function to complete the square. By going through this process, we will reveal the minimum value.
Professor Dave Explains
Particle in a Box Part 2: Interpreting the Results
In the previous tutorial we solved the Schrödinger equation for a quantum particle in an infinite square well. This is also known as the problem of the particle in a box. But there is a lot to unpack regarding the results, enough to...
Global Health with Greg Martin
How to write a medical review
In this video, I demonstrate how to search and identify relevant papers for your review. I do a pubmed search using Boolean operators and MeSH terms (these are extremely powerful tools that will help you sift through the large number of...
TLDR News
5 Reasons Trump Will Be Re-Elected in 2020 - TLDR News.
In 2016 a lot of people were shocked to see Trump win the US Presidential Election. This time around we wanted to be a bit more prepared, so in this video, we explain the 5 reasons we think Trump hs a good chance at getting a second term.