Exponential expressions with multiplied and divided terms can be simplified using the rules of adding and subtracting exponents.

👉Learn how to solve a system (of equations) by elimination. A system of equations is a set of equations which are collectively satisfied by one solution of the variables. The elimination method of solving a system of equations involves...

👉Learn how to solve a system (of equations) by elimination. A system of equations is a set of equations which are collectively satisfied by one solution of the variables. The elimination method of solving a system of equations involves...

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...

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...

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...

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.

👉 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, ....

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...

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...

Type II Alveolar Cells | Pulmonary Surfactant

Amber Tamblyn, an actress and writer, speaks with WSJ Editor for Audience and Analytics Carla Zanoni, about what gender norms mean today and tomorrow. <br/>

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...

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...

👉 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...

👉 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...

👉 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...

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...

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...

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.<br/>

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...

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...

Lineweaver-Burke Equation: Theory and Derivation

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.