Archive for the ‘Mathematics’ Category

Solving Trigonometric Equations and Identities

It is said that spies and other nefarious characters will carry many passports, enabling them to claim a different identity instantly. Despite the many identities, we know that all these passports are aliases of the same person. Trigonometric identities are different ways of representing the same expression. They are used to solve a trigonometric equation when applied […]

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Understanding Shapes with Oblique Angles

Oblique shapes are extraordinarily common, but many people don’t know what they are. Oblique shapes are shapes made of oblique angles. Oblique angles are: Acute angles: angles that are 0-90 degrees Obtuse angles: angles that are 90-180 degrees The sides that form the angles of an oblique shape are never perpendicular. In simple terms, these […]

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Calculating Weight Using Different Gravity Loads

One can define gravity as a universal force that acts between two objects. It tends to pull objects towards the center of the earth. Each body in the universe possesses a particular amount of matter. This is known as mass, which is defined as the amount of matter contained in a substance. Anything that occupies […]

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Calculating Acceleration Due To Gravity on a Plane

Ever wondered why, when a body is thrown upwards, it comes back down at an increased speed? It is due to the acceleration caused by gravity. Near the earth's surface, there is almost no gravitational force experienced, but it varies at large distances from the earth. Gravity is a force that is experienced between two […]

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Calculating Mass From Force and Weight

We've all heard the term “mass” in school before. But what actually is mass? And how can we calculate it if we know the force and weight of an object? Well, I’m glad you asked. To calculate mass, you need to know the force of gravity that's acting on the object, and its weight. And […]

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Separating Variables in Differential Equations

Separation of Variables, widely known as the Fourier Method, refers to any method used to solve ordinary and partial differential equations. To apply the separation of variables in solving differential equations, you must move each variable to the equation's other side. Get to Understand How to Separate Variables in Differential Equations As indicated in the […]

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Subtracting Integers on a Number Line

Subtracting integers on a number line is easy as pie! All you need is a number line, some numbers, and a reason to subtract. It's really that easy. Let's start by reviewing some key terms. What is an Integer? Integers are countable, whole numbers. Positive and negative whole numbers are integers. Examples include 3, -3, 5, […]

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How To Solve Three Variable Linear Equations

An equation between two variables is known as a Linear equation. A Linear equation usually results in a straight line when plotted graphically. The variables, which on most occasions are real numbers, are considered the parameters of the equation. There are several systems of linear equations involving the same set of variables. A system here […]

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How To Solve Negative Polynomials

A polynomial is a mathematical expression made of variables and coefficients. The only operations polynomials use are addition, subtraction, positive integer exponents, and multiplication. You cannot raise the variables in a polynomial to irrational powers, complex powers, square roots, etc. What does a polynomial look like? A simple example: 6x7 + 23x3 – 7 This example is a […]

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Calculating Exponential Decay with a Variable In the Exponent

Exponents are used to represent any function that changes rapidly. If the process is for growth, it means that the bigger the process grows, the faster the growth. Exponential functions are explained with this formula: y = abx where y is the remaining quantity at the end of time t, say 2 years. a is the initial amount before the […]

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