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Completing the Square

"Completing the square is one method for solving a quadratic equation. A quadratic equation can also be solved by several methods including factoring, graphing, using the square roots or the quadratic ...

Common Logarithm

"We can use many bases for a logarithm, but the bases most typically used are the bases of the common logarithm and the natural logarithm. The common logarithm has base 10, and is represented on the c ...

Common Algebra Mistakes

"Some of the most common algebra mistakes come from misunderstanding the order of operations or what is commonly known as PEMDAS. We must keep in mind that the multiplication and division are done at ...

Combinations and Permutations

"When trying to determine the number of possible combinations in a set, it can be difficult to differentiate between combinations and permutations. With permutations, we calculate the number of possib ...

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 ...

Closed Interval Method

"The closed interval method is a way to solve a problem within a specific interval of a function. The solutions found by the closed interval method will be at the absolute maximum or minimum points on ...

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 ...

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