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Catalyst University
Voltage to Electric Field in Three Dimensions
Voltage to Electric Field in Three Dimensions
Curated Video
Understanding the Relationship between Sine and Cosine Values on the Unit Circle
In this lesson, students will learn about the relationship between sine and cosine values on the unit circle. By studying the coordinates of points on the unit circle, they will discover that certain angles have equal sine and cosine...
Curated Video
Finding Complex Solutions of Quadratic Equations
This video explains how to find complex solutions of quadratic equations using the method of completing the square. It provides step-by-step instructions on isolating variables, finding perfect square trinomials, and using the square...
Brian McLogan
Learning to solve a quadratic with two irrational solutions using quadratic formula
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...
Brian McLogan
How to solve using the square root method
πLearn 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...
Brian McLogan
How to do the number of solutions of a quadratic relate to the x intercepts
π Learn how to graph a quadratic equation in standard form. To do this we will explore multiple methods such as the intercept method, identifying the vertex, axis of symmetry and identifying points on the graph using a table. Once you...
Brian McLogan
Learn to find the missing angles for a triangle using inverse trig functions
π Learn how to find a missing angle of a right triangle. A right triangle is a triangle that has 90 degrees as one of its angles. The trigonometric identities of right triangles gives us the relationship between the angles of a right...
Brian McLogan
Where does the distance formula come from
π Learn how to find the distance between two points. The distance between two points is the length of the line joining the two points in the coordinate plane. To find the distance between two points in the coordinate plane, we make use...
KnowMo
Similarity in More Than One Dimension: Calculating Scale Factors and Solving Problems
This video provides an introduction to working with similar shapes and calculating scale factors in multiple dimensions. The presenter explains the properties of similar shapes and how to calculate the linear, area, and volume scale...
Brian McLogan
Find the Horizontal Vertical asymptote with intercepts
π Learn how to find the vertical/horizontal asymptotes of a function. An asymptote is a line that the graph of a function approaches but never touches. The vertical asymptote is a vertical line that the graph of a function approaches but...
Curated Video
GCSE Secondary Maths Age 13-17 - Geometry & Measures: Similar Shapes - Explained
SchoolOnline's Secondary Maths videos are brilliant, bite-size tutorial videos delivered by examiners. Ideal for ages 13-17, they cover every key topic and sub topic covered in GCSE Maths in clear and easy to follow...
Brian McLogan
How to graph an ellipse for conic sections
Learn all about ellipses for conic sections. We will discuss all the essential definitions such as center, foci, vertices, co-vertices, major axis and minor axis. We will also discuss the essential processes such as how to graph and...
Brian McLogan
ACT SAT PREP How to determine the perimeter of a special right triangle
ACT SAT PREP How to determine the perimeter of a special right triangle
Brian McLogan
How to find the component and magnitude of a vector
Learn how to write a vector in component form given two points and also how to determine the magnitude of a vector given in component form. Given two point vectors with one representing the initial point and the other representing the...
Brian McLogan
Simplifying a rational expression with a radical denominator
π Learn how to find the square root of rational expressions. To find the square root of a rational expression, we first express the rational expression as the square root of the numerator divided by the square root of the denominator....
Brian McLogan
How to Multiply Two Expressions with Numbers and Radicals
π Learn how to multiply radicals. A radical is an expression or a number under the root symbol. To multiply radicals with the same root, it is usually easy to evaluate the product by multiplying the numbers or expressions inside the...
Virtually Passed
Spring Mass system Proof
A mass that is connected to a spring will undergo simple harmonic motion. This means it's Equation of Motion is
x = A sin (w_n t + phi_1) where w_n =
(k/m)^1/2
Note that w_n is the frequency of oscillation...
x = A sin (w_n t + phi_1) where w_n =
(k/m)^1/2
Note that w_n is the frequency of oscillation...
Brian McLogan
Write a point in rectangular form to polar form
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
How to Simplify the Square Root of a Non Square Number
π Learn how to find the square root of a number. To find the square root of a number, we identify whether that number which we want to find its square root is a perfect square. This is done by identifying a number which when raised to...
Brian McLogan
Learn How to Simplify the Square Root of a Large Number, Sqrt(128)
π Learn how to find the square root of a number. To find the square root of a number, we identify whether that number which we want to find its square root is a perfect square. This is done by identifying a number which when raised to...
Brian McLogan
Learn How to Simplify an Expression by Multiplying Two Radicals
π Learn how to multiply radicals. A radical is an expression or a number under the root symbol. To multiply radicals with the same root, it is usually easy to evaluate the product by multiplying the numbers or expressions inside the...
Brian McLogan
Combining a radical expression
π Learn how to add or subtract radicals. A radical is a number or an expression under the root symbol. Radicals can only be added or subtracted if the numbers or expressions under the roots are the same for all terms. To add or subtract...
Brian McLogan
Summary for solving a quadratic
πLearn how to solve quadratic functions. Quadratic equations are equations whose highest power in the variable(s) is 2. They are of the form y = ax^2 + bx + c. There are various techniques which can be applied in solving quadratic...