Brian McLogan
How to evaluate for a value the product of two functions
π Learn how to multiply two functions. We will explore the multiplication of linear, quadratic, rational, and radical functions. To multiply two functions, we simply algebraically multiply the rules (contents) of the two functions. We...
Flipping Physics
Power and Calculus
The derivative power equation is introduced and used to derive the integral work equation of power with respect to time. Want Lecture Notes? https://www.flippingphysics.com/power-calculus.html This is an AP Physics C: Mechanics topic.
Virtually Passed
Second Moment of Area Example 3
Ix is the second moment of area about the x axis. Choosing the value of dA is the important part for this problem. In this example where we're dealing with a section of a circle, it's easier to use cylindrical coordinates dA = r dr...
Brian McLogan
Convert point from polar to rectangular
Learn how to convert points between rectangular and polar. Rectangular points measure the horizontal and vertical distance away from the origin whereas polar coordinates measure the direct distance and angle in standard position from the...
Brian McLogan
Learn how to solve a proportion by applying cross multiplication
π Learn how to solve proportions. Two ratios are said to be proportional when the two ratios are equal. Thus, proportion problems are problems involving the equality of two ratios. When given a proportion problem with an unknown, we...
Catalyst University
Physical Differentials (1 of 2): Newtonian Transformations
Physical Differentials (1 of 2): Newtonian Transformations
Brian McLogan
Learn how to evaluate a piecewise function for different values
π 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
Factoring a quadratic trinomial when a=1 to find the solutions
πLearn how to solve quadratic equations by factoring when a is equal to 1. A quadratic is an algebraic expression having 2 as the highest power of its variable(s). To factor an algebraic expression means to break it up into factors...
Brian McLogan
How to determine the slope between two points using the formula
π Learn how to find the slope between two points. The slope of a line is the steepness of the line. The horizontal line has a zero slope while the vertical line has an undefined slope. To determine the slope of a line passing through two...
Brian McLogan
Learn how to factor out the GCF to solve a quadratic equation
πLearn how to solve a quadratic equation by factoring out the GCF. When factoring out the GCF from an equation we will be looking for what the terms have in common. This method is very useful for quadratic equations that does not have...
Brian McLogan
How to find the height of a ball and time it takes using velocity
π 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 to evaluate a piecewise function
π 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 evaluate a piecewise function given different values
π 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
π 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
πTo 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
π 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
π 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
π 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...