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The Hyperbola

"A hyperbola is a type of conic section that is formed by intersecting a cone with a plane, resulting in two parabolic shaped pieces that open either up and down or right and left. Similar to a parabo ...

The Greatest Integer Function

"One of the most commonly used step functions is the greatest integer function. The greatest integer function has it's own notation and tells us to round whatever decimal number it is given down to th ...

The Derivative Function

"By definition, the derivative is a function which is derived from another function. The definition of the derivative is usually only written for one point, but the function is defined for all points. ...

The Definite Integral

"The definite integral is an important operation in Calculus, which can be used to find the exact area under a curve. The definite integral takes the estimating of approximate areas of rectangles to i ...

The Cross Product of Vectors

"In Calculus we often use the cross product of vectors to find orthogonal vectors and the area of parallelograms in three dimensions. The cross product of vectors is found by identifying the 3x3 deter ...

The Complex Plane

"Imaginary numbers arise frequently in mathematics, but in order to do much with them we need to know more about the complex plane and the rectangular form of complex numbers. The complex plane is a m ...

The Angle Between Vectors

"The vector formula to find the angle between vectors is a useful formula to memorize. This formula uses the dot product, magnitude and cosine to give us the angle between vectors. We can use this for ...

How to Multiply Radicals

"To simplify two radicals with different roots, we first rewrite the roots as rational exponents. Before the terms can be multiplied together, we change the exponents so they have a common denominator ...

The Angle Between Planes

"We can use knowledge of how to find the angle between vectors to help us find the angle between planes. We can use the dot product to find the angle between planes, or determine whether or not the pl ...

Horizontal Parabola

"We are used to looking at quadratic equations where "y" is the variable that is equal to the squared "x" terms. However, in a horizontal parabola the "x" is equal to the "y" term squared. Instead of ...

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