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Complex Roots

"We can use a simple four-step guide to help us find complex roots, or the nth roots of complex numbers. These guidelines simplify for us the process of using DeMoivre's Theorem to find complex roots. ...

Complex Number Roots

"We can use DeMoivre's Theorem to calculate complex number roots. In many cases, these methods for calculating complex number roots can be useful, but for higher powers we should know the general four ...

Polar Curves

Hipervinculo Matemáticas

Polar Curves

"Recognizing certain special polar curves can help us graph them or derive their equations. Circles, cardioids and limacon are all from the same family of polar curves. Other families include roses an ...

Polar Coordinates to Rectangular Coordinates

"It can often be useful to convert polar coordinates to rectangular coordinates. Sometimes operations are easier in one coordinate system than the other. The conversion from polar coordinates to recta ...

Polar Coordinates Line

"In the study of polar equations we must learn how to write the equation of a polar coordinates line. Students are sometimes asked to use the distance formula for polar coordinates, or to find the equ ...

Polar Coordinates Distance Formula

"In order to calculate the distance from two points in polar coordinates, we use the polar coordinates distance formula. In order to derive the polar coordinates distance formula, we use the law of co ...

Polar Coordinates

"Another form of plotting positions in a plane is using polar coordinates. We are used to using rectangular coordinates, or xy-coordinates. Polar coordinates use a graphing system based on circles, an ...

Polar Conic Sections

"One can use polar coordinates to describe polar conic sections, or conic sections with one focus at the origin of the polar coordinate system. Polar conic sections are described by a family of polar ...

Circle Conic Section

"When working with circle conic sections, we can derive the equation of a circle by using coordinates and the distance formula. The equation of a circle is (x - h) ^2 + (y - k)^2 = r^2 where r is equa ...

Parametric Equations

"Sometimes when graphing a shape or equation we want to add a parameter, something like time, which requires us to use parametric equations. One example of the use of parametric equations is to descri ...

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