Here we show another way to graphically interpret first order ordinary differential equations (ODE's) in the form dx/dt = f(x). Rather than solve the differential equation by integrating, which is often impractical, it's useful to graph...

The Most Unusual Ways Pi Shows Up In Mathematics | Can You Explain These?

The applications of hyperbolic trig | Why do we even care about these things?

An inverted pendulum puzzle

“Domain and Range” explains when a relation is a function. The video also describes how to determine the domain and range of a given function.

Throughout this video I say "probability curve" when a statistician would say "probability distribution." I just want to say that I'm aware of this, and that it's a choice I intentionally made because I felt like it made it easier to...

In this short math video we will answer a standardized math question where we determine "Does the Graph Represent a Linear Function?" We will begin by review that a the graph of a linear function is a line that is not vertical. We will...

My solutions to Free Response Question #5 from the 2019 AP Physics 1 Exam. This question is about standing waves in open and closed pipe instruments. Also included are my reflections on how to get perform better on the exam.

This problem is about using the a graph and the integral (or the area "under" the curve) to determine the change in momentum (or impulse) of an object.

This video explains the concept of geometric sequences and their relationship to exponential functions. It covers the explicit rule for geometric sequences, how to find specific terms in the sequence, and how to graph the sequence on a...

It's time to review the 5 key graphs of macroeconomics. Make sure to watch the videos explaining each graph.

What is the maximum linear speed a car can move over the top of a semi-circular hill without its tires lifting off the ground? The radius of the hill is 1.8 meters.

Lineweaver-Burk Equation Theory and Derivation

I make short, to-the-point online math tutorials. I struggled with math growing up and have been able to use those experiences to help students improve in math through practical applications and tips. I believe everyone can learn math...

The video discusses the importance of evaluation in the field of economics, specifically in analyzing AD (aggregate demand) curve shifts. The video covers topics such as the multiplier effect, accelerator effect, and automatic...

This is a lecture on the causes of shifts in the supply curve in microeconomics. The lecturer then identifies the four main causes of supply shifts, including changes in the cost of production, introduction of new technology, factors...

This video explains the basics of the supply curve and how to derive its shape. It also explores the law of supply and its relationship to the quantity supplied and the price of a product. The video also gives examples of firms and the...

The video is a lecture presentation about an experiment on the relationship between temperature and the rate of respiration in maggots. The speaker discusses the experimental setup, which includes placing maggots in a boiling tube with...

A 453 g toy car moving at 1.05 m/s is going over a semi-circular hill with a radius of 1.8 m. When the car is at the top of the hill, what is the magnitude of the force from the ground on the car?

Can you draw the graphs of microeconomics faster than me? Also, share this video with your teacher and see if he or she can beat my best times. Here are my times:



15 seconds- Natural monopoly regulated at sociall
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I make short, to-the-point online math tutorials. I struggled with math growing up and have been able to use those experiences to help students improve in math through practical applications and tips. I believe everyone can learn math...

This video is a lesson on the price elasticity of demand and the characteristics of demand curves. The instructor explains how to calculate price elasticity of demand and defines the terms elastic and inelastic. The video also covers how...

Mr. Clifford's explanation of the short run and long run Phillips curves. In the short run, there is a negative relationship between inflation and unemployment. In the long run, there is no trade-off between inflation and unemployment....

A 0.453 kg toy car moving at 1.15 m/s is going up a semi-circular hill with a radius of 0.89 m. When the hill makes an angle of 32° with the horizontal, what is the magnitude of the force normal on the car?