👉 Learn how to verify the sum and difference of two angles trigonometric identities using the sum/difference formulas. To verify an identity means to ascertain that the left-hand side is equal to the right-hand side of the equality sign....

👉 Learn how to find the degree and the leading coefficient of a polynomial expression. The degree of a polynomial expression is the the highest power (exponent) of the individual terms that make up the polynomial. For terms with more...

Using a model, this video demonstrates how to rearrange the expression to form a square and determine the dimensions. It also emphasizes the misconception that x * x equals 2x, clarifying that x * x actually equals x squared. Through...

This is the equation of motion for a block connected to a rotating mass.

👉 Learn how to find the value that makes a function continuous. When given a piecewise function which has a hole at some point or at some interval, we fill the hole at the point or over the interval by looking for the value of the...

👉 Learn how to find the given term of a binomial expansion. A binomial expression is an algebraic expression with two terms. When a binomial expression is raised to a positive integer exponent, we usually use the binomial expansion...

👉 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 indefinite integral or as a definite...

👉Learn how to solve a system of equations by substitution. To solve a system of equations means to obtain a common values of the variables that makes the each of the equation in the system true. To solve a system of equations by...

QM Applications: Particle-in-a-Box (Derivation)

Solutions to Problem 36.

👉 Learn how to condense logarithmic expressions using the power rule. A logarithmic expression is an expression having logarithms in it. To condense logarithmic expressions means to use the logarithm laws to reduce logarithm expressions...

All Ears English Podcast 1506: Haven't Learned Enough Slang? Better Late Than Never

👉 Learn how to add or subtract radicals. A radical is a number or an expression under the root symbol. Radicals can only be added or subtracted if the numbers or expressions under the roots are the same for all terms. To add or subtract...

👉 Learn how to apply operations to functions such as adding, subtracting, multiplying, and dividing to two functions. To add/subtract/multiply or divide two functions, we algebraically add/subtract/multiply or add the rules (contents) of...

DRESSED in a frilly pink dress with knee high socks, a furry headband around her platinum blond hair and full eyelashes, 21-year-old Jade Smith looks more like a porcelain doll than a real life person – and that’s exactly the look she’s...

Julia is an easy, fast, open source language that if written well performs nearly as well as low-level languages such as C and FORTRAN. Its design is a dance between specialization and abstraction, providing high machine performance...

In this video, the teacher uses area blocks to visually represent the polynomial and demonstrates how to rearrange the blocks to form completed squares. By adding and subtracting blocks, the teacher shows how the expression can be...

In this video, the teacher explains how to rewrite rational expressions by recognizing common factors. They provide examples and show how to think of rational expressions as division of the numerator by the denominator. The teacher also...

👉 Learn how to simplify expressions by dividing its terms. Remember that dividing a fraction is the same as multiplying by the reciprocal. When multiplying expressions, each individual term of the expression is multiplied to its like...

👉 Learn how to add and subtract rational expressions by applying the rules of exponents. When adding and subtracting rational expressions we need to have common denominators. To obtain common denominators we will need to multiply the...

This lessons discusses ternaries. This clip is from the chapter "Decision Making and Program Flow" of the series "C++ for Beginners".The "if", "else if", and "else" Statements

👉 Learn how to classify the discontinuity of a function. A function is said to be discontinuos if there is a gap in the graph of the function. Some discontinuities are removable while others are non-removable. There is also jump...

In this video, students will learn how to reverse the distributive property by factoring expressions. The teacher explains the common mistakes students make and provides examples to help understand the process.

👉 Learn how to expand logarithmic expressions involving radicals. A logarithmic expression is an expression having logarithms in it. To expand logarithmic expressions means to use the logarithm laws to expand (open up) logarithm...