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Curated Video
Finding Solutions through Intersection on a Graph
In this video, the teacher explains how to find the solutions to a system of equations by graphing them and looking for points of intersection. They demonstrate that a system of equations can have one, more than one, or no solutions,...
Curated Video
Exploring Function Notation
Explore the concept of renaming a function using function notation. They demonstrate how to determine if a graph is a function using the vertical line test and solve equations for Y to determine if Y is a function of X.
Brian McLogan
What is the definition of the inverse sine function
π Learn how to evaluate inverse trigonometric functions. The inverse trigonometric functions are used to obtain theta, the angle which yielded the trigonometric function value. It is usually helpful to use the calculator to calculate the...
Brian McLogan
Given two triangles determine the difference of the two angles using cosine
π 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...
Brian McLogan
Find the point where their exist a horizontal tangent line
π Learn how to find the point of the horizontal tangent of a curve. A tangent to a curve is a line that touches a point in the outline of the curve. When given a curve described by the function y = f(x). The value of x for which the...
Brian McLogan
How to solve a separable differential equation
Learn how to solve the particular solution of differential equations. A differential equation is an equation that relates a function with its derivatives. The solution to a differential equation involves two parts: the general solution...
Brian McLogan
How to determine the inverse of an exponential equation
π Learn how to convert an exponential equation to a logarithmic equation. This is very important to learn because it not only helps us explain the definition of a logarithm but how it is related to the exponential function. Knowing how...
Brian McLogan
Given a point find the six trigonometric functions
π 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...
Brian McLogan
Implicit differentiation by taking the log of both sides
π Learn how to find the derivative of an implicit function. 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 derivative of a...
Brian McLogan
Apply the evt and find extrema on a closed interval
π Learn how to find the extreme values of a function using the extreme value theorem. The extreme values of a function are the points/intervals where the graph is decreasing, increasing, or has an inflection point. A theorem which...
Brian McLogan
How to write the equation of a tangent line by taking the derivative using product
π Learn how to find and write the equation of the tangent line of a curve at a given point. The tangent of a curve at a point is a line that touches the circumference of the curve at that point. To find the equation of the tangent line...
Brian McLogan
How to Find All of the Zeros Including Complex When Given a Polynomial
π Learn how to find all the zeros of a polynomial that cannot be easily factored. A polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. The zeros...
Brian McLogan
Given the Factors Determine All Zeros and Write as a Product of its Factors
π Learn how to find all the zeros of a polynomial given one rational zero. A polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. The zeros of a...
Brian McLogan
How do we represent the scalar of a vector
Learn the basics of vector operations. Vectors can be added, subtracted and multiplied. To add or subtract two or more vectors, we add each of the corresponding components of the vectors. To multiply a scalar to a vector, we simply...
Brian McLogan
Eliminate the parameter to obtain the equation of a circle
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...
Brian McLogan
Solve a quadratic using the quadratic formula with complex answers
π 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...
Flipping Physics
AP Physics C: Rotational Dynamics Review - 2 of 2 (Mechanics)
Calculus based review of the cross product torque equation, how to do a unit vector cross product problem, rotational equilibrium, the rotational form of Newtonβs second law, the angular momentum of a particle and of a rigid object with...
Brian McLogan
Solving an exponential equation with e on the denominator
π Learn how to solve exponential equations in base e. An exponential equation is an equation in which a variable occurs as an exponent. e is a mathematical constant approximately equal to 2.71828. e^x is a special type of exponential...
Brian McLogan
Learn to write an equation in polar form to rectangular form
Learn how to convert between rectangular and polar equations. A rectangular equation is an equation having the variables x and y which can be graphed in the rectangular cartesian plane. A polar equation is an equation defining an...
Catalyst University
Multivariable Cyclic (Chain) Rule for P-CHEM
Multivariable Cyclic (Chain) Rule for P-CHEM
Curated Video
Completing the Square: Transforming Quadratic Equations
In this lesson, students will learn how to complete the square in quadratic equations using both models and symbols. They will understand the steps involved in transforming a quadratic equation and how to factor perfect squares.
Brian McLogan
How do you find the magnitude of a vector
In this video playlist I show you how to solve different math problems for Algebra, Geometry, Algebra 2 and Pre-Calculus. The video will provide you with math help using step by step instruction. Math help tutorials is just what you need...
Curated Video
Adding Integers with Color Counters
Understand how to add integers using color counters. By combining the counters and canceling out zero pairs, students can easily visualize and solve addition problems involving integers. The teacher emphasizes the importance of neatness...