👉 Learn how to find the derivative of exponential and logarithmic expressions. 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...

I show how to solve math problems online during live instruction in class. This is my way of providing free tutoring for the students in my class and for students anywhere in the world. Every video is a short clip that shows exaclty how...

Now that we understand the Schrödinger equation, it's time to put it to good use, and solve a quantum problem. Let's find the eigenfunctions and eigenenergies associated with a quantum particle restricted to an infinite square well. This...

👉 Learn how to evaluate an expression with the composition of a function and a function inverse. Just like every other mathematical operation, when given a composition of a trigonometric function and an inverse trigonometric function,...

👉 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...

Convert a rectangular equation to polar form

👉 Learn how to write a given sum or difference of two angles formula expression as a single sum/difference of angles trigonometric function. To do this, we first identify the trigonometric function for which its sum/difference formula is...

How to understand reflections of polar points

Derivation of Pendulum equations method 3

Learn how to use Mechanical Energy when the Work done by Friction does not equal zero.

👉 Learn all about evaluating trigonometric functions with triangles. In this playlist, we will learn how to evaluate, sine, cosine, tangent, cotangent, secant, and cosecant when given the sides of a triangle. If we have missing sides we...

👉 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...

👉 Learn how to evaluate the tangent of a half-angle. When given the value of the tangent of an angle, we can evaluate the tangent of half the angle using the tangent half-angle formula. When the value of any other trigonometric function...

👉 Learn how to solve equations using the angles sum and difference identities. Using the angles sum and difference identities, we are able to expand the trigonometric expressions, thereby obtaining the values of the non-variable terms....

Learn how to write a vector in component form when given the magnitude and direction. When given the magnitude (r) and the direction (theta) of a vector, the component form of the vector is given by r(cos(theta), sin(theta)).

Learn how to determine the dot product of vectors. The dot product of two vectors also called the scalar product of the vectors is the sum of the product of the components of the vectors in each direction. When the magnitudes of the...

This video goes over 2 examples, covering the proper way to find integrals that require the repeated application of the integration by parts formula. In addition, the tabular method for integration by parts is also introduced.

Given certain parameters, how would you solve this problem?<br/>
Kinetic Energy And The Work - Energy Theorem, Part 5

👉 Learn how to write a given sum or difference of two angles formula expression as a single sum/difference of angles trigonometric function. To do this, we first identify the trigonometric function for which its sum/difference formula is...

What is the equation of motion of a particle that has a drag force acting on it? It's important to note that we've assumed that the drag force is proportional to the velocity at all times. In reality, other factors are involved too like...

You place a book on a 14° incline and then let go of the book. If the book takes 2.05 seconds to travel 0.78 meters, what is the coefficient of kinetic friction between the book and the incline?

In this video, students will learn how to graph sinusoidal functions by plotting points and observing the terminal ray of the unit circle. They will understand the patterns and periodicity of the sine and cosine functions, and how to...

This video is an introduction to solving trigonometric integrals that contain combinations of trigonometric functions. Specifically, those that contain powers of sine and cosine. This video covers 2 basic example illustrating the case...

Learn how to use a unit circle to study angles and find the values of sine, cosine, and tangent functions. The teacher reviews the ratios of sides in special triangles and emphasizes the importance of drawing the reference triangle...