Brian McLogan
How to evaluate a piecewise function given different values
👉 Learn how to evaluate a piecewise function. A piecewise function is a function which uses different rules for different intervals. When evaluating a piecewise function, pay attention to the constraints of each function as you can only...
Brian McLogan
How to integrate with e in the numerator and denominator
👉 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 an indefinite integral or as a definite...
Brian McLogan
Determining the solution point of a system of equations by graphing
👉To solve a system of equations means to obtain a common x-value and a common y-value that makes the each of the equation in the system true. To solve a system of equations by graphing means to obtain the point of intersection (if any)...
Virtually Passed
Math Puzzle - Area of N sided shape
Can you find the area of an N sided regular shape? Use the result to prove a formula for calculating pi!
Brian McLogan
How to find the average velocity of a particle
👉 Learn how to solve particle motion problems. Particle motion problems are usually modeled using functions. Now, when the function modeling the position of the particle is given with respect to the time, we find the speed function of...
Brian McLogan
Evaluating a piece wise function
👉 Learn how to evaluate a piecewise function. A piecewise function is a function which uses different rules for different intervals. When evaluating a piecewise function, pay attention to the constraints of each function as you can only...
Brian McLogan
Pre-Calculus - Learn how to evaluate the difference of two functions, f(x) = x^2 + 1; g(x) = sqrt(x)
In this video series we will investigate the basics of what you will need to know to be successful in Pre-Calculus. We will start with learning about linear equations and writing the equation of a line as well as determining the slope....
Brian McLogan
Learn how to use inverse operations to solve for y in a rational equation
👉 Learn how to solve literal equations. A literal equation is an equation where the unknown values are represented by variables. To solve a literal equation means to make one of the variables the subject of the formula. When the literal...
Brian McLogan
Verifying an identity by combining like terms and using reciprocal properties
👉 Learn how to verify rational trigonometric identities involving the addition and subtraction of terms. To verify trigonometric expression means to verify that the term on the left-hand side of the equality sign is equal to the term on...
Brian McLogan
Learn how to find the domain from dividing two functions
👉 Learn how to divide two functions. We will explore the division of linear, quadratic, rational, and radical functions. To divide two functions, we simply algebraically divide the rules (contents) of the two functions. We will then...
Brian McLogan
Learn how to solve a quadratic equation by factoring a perfect square trinomial
👉Learn how to solve a quadratic equation by factoring a perfect square trinomial. A perfect square trinomial quadratic equation is of the form y = x^2 +2cx + c^2, where c is a perfet square. There are couple of ways we can solve a...
Brian McLogan
Master How to apply the dot product between two vectors
Master How to apply the dot product between two vectors
Brian McLogan
Calculus - Take the derivative of a natural logarithm using properties of logs, d((x^2)lnx)/dx
In this video series you will learn how to take the derivative of a function. We will first look at the definition of a derivative by identifying the slope of a line to a curve and using the limit definiton of a derivative to evaluate....
Math Fortress
Calculus II: Trigonometric Integrals (Level 7 of 7)
This video concludes the methods for solving trigonometric integrals that contain combinations of sine and cosine. This video covers 4 challenging examples that require the use of different trigonometric identities, multiplying by the...
Brian McLogan
Explaining the rules of logarithms with examples
👉 Learn all about the properties of logarithms. The logarithm of a number say a to the base of another number say b is a number say n which when raised as a power of b gives a. (i.e. log [base b] (a) = n means that b^n = a). The...
Brian McLogan
Learn how to find when a particle is changing direction from a velocity graph
👉 Learn how to solve particle motion problems. Particle motion problems are usually modeled using functions. Now, when the function modeling the position of the particle is given with respect to the time, we find the speed function of...
Brian McLogan
Learn how to solve for y of a rational expression
👉 Learn how to solve literal equations. A literal equation is an equation where the unknown values are represented by variables. To solve a literal equation means to make one of the variables the subject of the formula. When the literal...
Brian McLogan
Learn how to solve a multi step equation by using inverse operations
👉 Learn how to solve literal equations involving formulas. A literal equation is an equation where the unknown values are represented by variables. To solve a literal equation means to make one of the variables the subject of the...
Brian McLogan
Dividing two functions to determine the domain
👉 Learn how to divide two functions. We will explore the division of linear, quadratic, rational, and radical functions. To divide two functions, we simply algebraically divide the rules (contents) of the two functions. We will then...
Brian McLogan
Dividing two functions so that we can determine the domain
👉 Learn how to divide two functions. We will explore the division of linear, quadratic, rational, and radical functions. To divide two functions, we simply algebraically divide the rules (contents) of the two functions. We will then...
Brian McLogan
How to find domain and range of a rational equation using inverse
👉 Learn how to find the inverse of a rational function. A rational function is a function that has an expression in the numerator and the denominator of the function. The inverse of a function is a function that reverses the "effect" of...