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Catalyst University
Why do dead whales EXPLODE? | The Infamous Japanese Exploding Whale
Have you seen the videos on Youtube in which beached, deceased whales explode? How does this occur? In this video, we delve into the biological and physical reasons for this "booming" topic.
Brian McLogan
Learn how to write the first five terms of a sequence by plugging in their values
π Learn how to find the first five terms of a sequence. Given an explicit formula for a sequence, we can find the nth term of the sequence by plugging the term number of the sequence for n in the given formula. When n = 1, 2, . . ., 5...
Brian McLogan
Learn how to condense natural logs separated by subtraction
π Learn how to condense logarithmic expressions. A logarithmic expression is an expression having logarithms in it. To condense logarithmic expressions means to use the logarithm laws to reduce logarithm expressions from the expanded...
Brian McLogan
Given the first term and the ratio find the nth term of a geometric sequence
π Learn how to find the nth term of a geometric sequence. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. A geometric sequence is a sequence in which...
Brian McLogan
Condensing logarithmic expressions
π Learn how to condense logarithmic expressions. A logarithmic expression is an expression having logarithms in it. To condense logarithmic expressions means to use the logarithm laws to reduce logarithm expressions from the expanded...
Brian McLogan
Word Problems with trigonometry and triangles
π Learn how to solve the word problems with trigonometry. Word problems involving angles, including but not limited to: bearings, angle of elevations and depressions, triangles problems etc are solved using trigonometry. To be able to...
Brian McLogan
Given a formula of hyperbola in standard form find foci, asymptotes, center vertices
Learn how to graph hyperbolas. To graph a hyperbola from the equation, we first express the equation in the standard form, that is in the form: (x - h)^2 / a^2 - (y - k)^2 / b^2 = 1 for horizontal hyperbola or (y - k)^2 / a^2 - (x - h)^2...
Brian McLogan
What is the arc length of a sector and how do you find it
π Learn about angles in trigonometry. An angle is the figure formed by two rays sharing the same endpoint. The two rays are called the sides of the angle while the common endpoint of the two rays is called the vertex of the angle. Angle...
Brian McLogan
Evaluate the six trigonometric functions for the given real number
π Learn how to evaluate the six trigonometric functions of a given angle. When given an angle we locate the angle on the unit circle. Then using the coordinate of the terminal side of the angle on the unit circle and the definitions of...
Brian McLogan
ACT SAT Prep How to determine the color in a particular sequence
ACT SAT Prep How to determine the color in a particular sequence
Brian McLogan
Verify an identity using sum and difference identities
π Learn how to verify the sum and difference of two angles trigonometric identities using the sum/difference formulas. To verify an identity means to ascertain that the left-hand side is equal to the right-hand side of the equality sign....
Brian McLogan
Learn how to determine the domain and range from a table and from a graph
π functions are the possible output values (y-values) of the function. To find the domain of a function from a table we list out the set of the input values and for the range we list out the set of output values. To find the domain and...
Brian McLogan
How to solve a quadratic by factoring a GCF from two terms
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
Apply zero product property to solve a factored quadratic equation
πLearn how to solve a quadratic equation using the zero product property. When a quadratic equation has been factored or is given in factored form, we can solve the quadratic equation by applying the zero product property. The zero...
Brian McLogan
How to solve a multi step equation with a variable on the same side
π Learn all about the processes and definitions for solving linear equations. You will gain a better understanding about the vocabulary and steps used to solve liner equations such as how to isolate an equation and apply inverse...
Brian McLogan
Simplifying two rational expressions with complex conjugates as denominators
In this math tutorial I will show you how to add and subtract complex numbers. You will learn the steps in adding rational complex numbers and rational expressions with imaginary. Like polynomials when adding complex numbers we can only...
Brian McLogan
What is an angle
Learn all about angles. An angle is a figure formed by two rays sharing a common endpoint. An angle can be classified as acute, right, obtuse, straight or refrex. An acute angle is an angle which measures less than 90 degrees. A right...
Brian McLogan
Dividing two polynomials using synthetic division
π Learn about dividing by synthetic division. Synthetic division is a method of dividing polynomials by linear expressions. To divide using synthetic division, we equate the divisor to 0 and then solve for the variable, the solution for...
Brian McLogan
Master solving a system of equations by elimination with no solution and infinite many
Master solving a system of equations by elimination with no solution and infinite many
Brian McLogan
Using binomial expansion to expand a binomial to the sixth power
π Learn how to expand a binomial using binomial expansion. A binomial expression is an algebraic expression with two terms. When a binomial expression is raised to a positive integer exponent, we usually use the binomial expansion...
Brian McLogan
How to determine if a point lies on a line or not using the point and the equation
π Learn all about points lines and planes. In this playlist, we will explore how to how to identify, write, label all points lines, and planes. We will learn how to determine the distance between two points as well as the midpoint. Learn...
Brian McLogan
How to determine the converse from a conditional statement
π Learn how to find the converse of a statement. The converse of a statement is the switching of the hypothesis and the conclusion of a conditional statement. If the hypothesis of a statement is represented by p and the conclusion is...
Brian McLogan
How to identify the hypothesis and conclusion of a conditional statement
π Learn how to label the parts of a conditional statement. A conditional statement is an if-then statement connecting a hypothesis (p) and the conclusion (q). If the hypothesis of a statement is represented by p and the conclusion is...
Brian McLogan
How do the lengths of two secant lines from a point outside a circle compare
Learn how to solve problems with secant lines. A secant line is a line that intersects a circle at exactly 2 points in contrast to a tangent line which is a line that touches a circle at exactly one point. When two secant lines...