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Published byLeslie Charles Modified over 8 years ago

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NONLINEAR SYSTEMS, CONIC SECTIONS, SEQUENCES, AND SERIES College Algebra

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Nonlinear Systems of Equations Solving by elimination Applications

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Parabolas Distance and midpoint formulas Geometric definition of parabola Developing the equation Parabolas in the form y = a(x - h) 2 + K Finding the vertex, focus, and directrix Axis of symmetry Changing forms Parabolas opening to the right or left

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Circles The equation of a circle Equations not in standard form Systems of equations

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Ellipses and Hyperbolas The ellipse The hyperbola

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Second-Degree Inequalities Graphing a second-degree inequality Systems of inequalities

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Sequences Finding a formula for the nth term

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Series Summation notation Series Changing the index

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Arithmetic Sequences and Series Arithmetic sequences Arithmetic series

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Geometric Sequences and Series Geometric sequences Finite geometric series Infinite geometric series Applications

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Binomial Expansions Some examples Obtaining the coefficients The binomial theorem

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