Brian McLogan
Evaluate the six trigonometric functions given a point
👉 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...
Flipping Physics
(part 2 of 2) An Introductory Projectile Motion Problem with an Initial Horizontal Velocity
Now that we have dropped the ball into the bucket, we can determine the final velocity of the ball right before it strikes the bucket. Don't forget that velocity is a vector and has both magnitude and direction. Yep, component vector...
Brian McLogan
Solving a trigonometric equation with half angle formulas
👉 Learn how to solve equations using half-angle identities. To do this we will replace every trig function with half angles using the identity. Then we will simplify and solve trigonometric functions. To find the values we will use the...
Brian McLogan
Determine vector given magnitude and direction from word problem
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)).
Virtually Passed
Simple dynamics problem using energy methods
Here we solve for the velocity of a block as it's sliding up a circular hill using energy methods 1) Find work done by external forces (it's 0). 2) Notice there is negligible rotation so the kinetic energy is just 0.5 m (v2^2 - v1^2). 3)...
Virtually Passed
circular motion problem 1
A simple problem using the equation derived in my previous video: at = r alpha and an = v^2/r
Brian McLogan
Solving a natural logarithmic equation using the quadratic formula
👉 Learn about solving logarithmic equations. Logarithmic equations are equations involving logarithms. To solve a logarithmic equation, we first use our knowledge of logarithm laws/properties to express the terms in both sides of the...
Brian McLogan
Using a 45 45 90 triangle evaluate trig functions
👉 Learn how to evaluate the six trigonometric functions given a right triangle. A right triangle is a triangle with 90 degrees as one of its angles. A right triangle is made up of two legs, which formed the sides of the 90 degrees angle...
Virtually Passed
Optimal Path Around Quicksand - Math Puzzle (HARD)
What is the optimal path to travel from start to finish in the least time? Your speed is = the distance you are from the pit. Here I show one optimal path! #SoME1 Timestamps: 0:00 - Introduction & Question 0:52 - Total Time: Cartesian...
Math Fortress
Calculus III: The Dot Product (Level 6 of 12)
This video goes over the dot product also known as the scalar product. This video goes over 5 Intermediate level examples that require the use of dot product.
Brian McLogan
Using power rule with square root to take derivative on a logarithm
👉 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...
Virtually Passed
Basic statics problem finding reactions of pin supports
This video shows how to find the magnitudes of reaction forces of pins. A general approach to this question is to 1) draw a FBD 2) use Mtotal = 0 and Ftotal =0 3) solve the algebra. A few things to note are: Pin supports apply external...
Curated Video
Solving Quadratic Equations with Real Coefficients
In this lesson, students will learn how to solve any quadratic equation with real coefficients and express the solutions in the form a plus or minus bi. They will use the quadratic formula and learn how to simplify square roots of...
Brian McLogan
How to apply the quadratic formula to a quadratic with fractions
👉 Learn how to solve quadratic equations using the quadratic formula. A quadratic equation is an equation whose highest power on its variable(s) is 2. The quadratic formula is a formula which can be used to find the roots of (solve) a...
APMonitor
k-Nearest Neighbors in Python
k-Nearest Neighbors classification is a type of lazy learning as it does not attempt to construct a general internal model, but simply stores instances of the training data. Classification is computed from a simple majority vote of the k...
Brian McLogan
Using the discriminate to describe the number and type of solutions
👉 Learn how to solve a quadratic equation by applying the quadratic formula. To apply the quadratic formula the quadratic equation must be equal to zero. Then you can apply the quadratic formula to determine solutions to the equation,...
Physics Girl
Work and Energy - Physics 101 / AP Physics 1 Review with Dianna Cowern
Lesson 9 (Work and Energy) of Dianna's Intro Physics Class on Physics Girl. Never taken physics before? Want to learn the basics of physics? Need an AP Physics 1 review before the exam? This course is for you! Exercises in this video: 1....
Brian McLogan
Learn the steps to evaluating the composition of inverse trig functions
👉 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,...
Brian McLogan
Take the derivative of exponential with negative power
👉 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...
Curated Video
Introduction to the Complex Number System
In this lesson, we explored the complex number system, which extends the real number system. We learned that complex numbers consist of a real part and an imaginary part, represented as a + bi, where a and b are real numbers and i is the...
Brian McLogan
Learn how to find the magnitude and direction of the vector
Learn how to determine the magnitude and direction of a vector. The magnitude of a vector is the length of the vector. The magnitude of a vector is obtained by taking the square root of the sum of the squares of the components of the...
Brian McLogan
Evaluate the integral using the area of a semi circle
👉 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...
Brian McLogan
Solve a quadratic by applying the square root method
👉Learn how to solve quadratic equations using the square root method. It is important to understand that not all quadratics have to be solved using factoring or quadratic formula. When we only have one variable but it is squared we can...
Math Fortress
Differential Equations: Implicit Solutions (Level 3 of 3)
This video introduces the basic concepts associated with solutions of ordinary differential equations. This video goes over 2 slightly more challenging examples illustrating how to verify implicit solutions, find explicit solutions, and...