In this short math video we will answer a standardized math test question where we distribute to compare expressions. We will begin by reviewing and performing the distributive property. We will then consider each expression provided as...

In this demo video, you will learn how to work with Dataframe columns. This clip is from the chapter "Spark Dataframe and Dataset Transformations" of the series "Spark Programming in Python for Beginners with Apache Spark 3".In this...

In this video, you will learn how to create and use UDF. This clip is from the chapter "Spark Dataframe and Dataset Transformations" of the series "Spark Programming in Python for Beginners with Apache Spark 3".In this section, you will...

This video explains the new arrow functions in JavaScript. This clip is from the chapter "JavaScript Introduction" of the series "Modern Web Design with HTML5, CSS3, and JavaScript".This section introduces you to JavaScript.

"Watch this short Business English vocabulary lesson and learn some of the most common expressions and idioms used in projects. Practise your speaking skills and become more confident by repeating the examples with me. Some of the idioms...

In this video, students learn how to use polynomial long division to solve word problems involving rectangular prisms. The video provides step-by-step instructions on finding the height and length of a prism given the volume and surface...

It explains zero, constant and one variable polynomial with activity and numerical. Describes types of polynomials on the basis of number of terms.

Solutions to Problem 17.

This video goes over the dot product also known as the scalar product. This video goes over 3 challenging examples that require the use of dot product.

This video will teach you how to find the derivative of functions formed by products of functions by using the product rule. An example involving the product of three functions is also illustrated.

In this video, the teacher explains how to predict the number of solutions in linear equations by identifying key features. They demonstrate examples of equations with one solution, no solutions, and infinitely many solutions,...

Complex Mechanisms: Pre-Equilibrium Approximation

This video introduces the basic concepts associated with solutions of ordinary differential equations. This video goes over 3 examples illustrating how to verify general solutions of ordinary differential equations.

This video goes over two examples, covering the proper way to find definite integrals that require the use of multiple integration techniques. Specifically, integration by parts and u-substitution.

In this video, the teacher explains the difference between quadratic expressions and quadratic equations. They use examples, such as a roller coaster path and building a patio with a brick border, to illustrate the concepts. The teacher...

In this video, students learn how to describe the relationship between expressions involving fractions or decimals without actually calculating them. The teacher explains the common misunderstandings of multiplication and division,...

This video continues illustrating methods for solving trigonometric integrals that contain combinations of trigonometric functions. Specifically, those that contain products of sine and cosine with distinct arguments (angles). This video...

In this video, the teacher explains how multiplying an equation by a constant affects the equation and its graph. They define constants and variables, and show how multiplying every term in an equation by a constant produces an...

In this video, the teacher explains how to simplify expressions by using distribution and combining like terms. They provide examples and review the concept of finding the perimeter of a rectangle. The lesson emphasizes avoiding common...

In this video, we learn how to relate changes in the edges of a cube to changes in its volume using polynomial equations. We explore the concept of polynomial identities and how they can be used to simplify expressions and find the new...

This video goes over the dot product also known as the scalar product. This video goes over 11 examples illustrating how to solve problems that make use of the geometric and component definition of the dot product.

This is an alternate proof for finding the natural frequencies and natural modes for a 2 DOF system. This method can always be used, but it's easier to involve matrices for larger degrees of freedom. The equation of motion can be...

If a term raised to a power is enclosed in parentheses and then raised to another power, this expression can be simplified using the rules of multiplying exponents.

This video will teach you the basics of calculating the derivative of simple polynomials and exponential functions using the constant multiple, sum and difference rule.