## Schaum's Outline of PrecalculusIf you want top grades and thorough understanding of precalculus, this powerful study tool is the best tutor you can have! It takes you step-by-step through the subject and gives you more than 600 accompanying related problems with fully worked solutions. You also get plenty of practice problems to do on your own, working at your own speed. (Answers provided to show you how you're doing.) Famous for their clarity, wealth of illustrations and examples, and lack of dreary minutiae, Schaum's Outlines have sold more than 30 million copies worldwideand this guide will show you why! |

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### Contents

NONLINEAR SYSTEMS OF EQUATIONS | 314 |

INTRODUCTION TO MATRIX ALGEBRA | 321 |

MATRIX MULTIPLICATION AND INVERSES | 325 |

DETERMINANTS AND CRAMERS RULE | 335 |

LOCI PARABOLAS | 344 |

ELLIPSES AND HYPERBOLAS | 352 |

ROTATION OF AXES | 364 |

CONIC SECTIONS | 371 |

SEQUENCES AND SERIES | 376 |

THE PRINCD7LE OF MATHEMATICAL INDUCTION | 382 |

SPECIAL SEQUENCES AND SERIES | 388 |

THE BINOMIAL THEOREM | 396 |

INDEX | 403 |

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### Common terms and phrases

Algebra axis Cartesian coordinate system coefficients column complex number cos0 cosine function curve defined determinant directrix distance domain ellipse EXAMPLE exponential factor Find the equation foci follows Form a table formula geometric geometric sequence given graph is shown graph of f(x Hence horizontal asymptote hyperbola inequality integer interval inverse law of cosines law of sines lim f(x linear loga logarithms mathematical induction matrix Multiply negative number line one-to-one parabola partial fraction decomposition polynomial previous problem Pythagorean identity quadrant quadratic function quotient radians real number real zeros right triangle row-echelon form sequence Show shown in Fig Simplify sin0 sinf Sketch a graph sketch the graph slope Solved Problems square standard form standard position statement Substitute Supplementary Problems symmetry synthetic division table of values theorem transformation trigonometric functions truth of Pk unit circle variable vector vertex Write written x-axis y-axis y-intercept yields

### Popular passages

Page 15 - Notice that the final expression in each of the foregoing examples involves a number between 1 and 10, multiplied by a power of 10.

Page 292 - Again, the occurrence of an equation of the form a = b , where a and b are unequal constants, indicates an inconsistent system.

Page 68 - Finding the Domain of a Function The domain of a function can be described explicitly or it can be implied by the expression used to define the function. The implied domain is the set of all real numbers for which the expression is defined.

Page 252 - Given either two sides, or one side and one of the acute angles...

Page 154 - The weight of an object above the surface of the earth varies inversely as the square of its distance from the center of the earth.

Page 86 - A median of a triangle is a line drawn from a vertex of the triangle to the middle point of the opposite side.

Page 139 - Q(x) to obtain a quotient (polynomial of the form -Q ) plus a rational function (remainder divided by the divisor) in which the degree of the numerator is less than the degree of the denominator.

Page 325 - If the number of columns of matrix A equals the number of rows of matrix B, the two matrices are conformable and can be multiplied in the order A x B. The product A x...

Page 134 - In general, a rational function has the form where f(x) and g(x) are polynomial functions. Since division by zero is not allowed, we conclude that the domain of a rational function is the set of all real numbers except the zeros of g — that is, the roots of the equation g(x) = 0.