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The Fundamental Theorem of Calculus

"The fundamental theorem of Calculus is an important theorem relating antiderivatives and definite integrals in Calculus. The fundamental theorem of Calculus states that if a function f has an antider ...

The Ellipse

"An ellipse is an important conic section and is formed by intersecting a cone with a plane that does not go through the vertex of a cone. The ellipse is defined by two points, each called a focus. Fr ...

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 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 ...

Systems of Inequalities

"When solving systems of inequalities, you are solving for a solution region. A solution region is the collection of points that are solutions to both inequalities. Solving systems of inequalities com ...

Greatest Common Factors

"When working with polynomials and complex fractions, it's important to understand and be able to find greatest common factors. Being able to find greatest common factors will help when factoring trin ...

Surface Area of Prisms

"Surface area is a two-dimensional property of a three-dimensional figure. Prisms have two congruent, parallel bases separated by lateral faces. Lateral faces are congruent rectangles with a height e ...

Surface Area of Joined Solids

"Surface area is a two-dimensional property of a three-dimensional figure. When solids are joined together, such as a hemisphere on a cone, the surface area of the connecting circle is not included in ...

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