Index - Limits 439049092_Index_SE.qxd 10/9/09 8:34 AM Page...

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Index A211 A Absolute value of a complex number, 468 inequality, A67 solution of, A67 properties of, A6 of a real number, A5 Acute angle, 281 Addition of complex numbers, 160 of fractions with like denominators, A10 with unlike denominators, A10 of matrices, 585 properties of, 587 vector, 447, 817 parallelogram law for, 447 properties of, 449 resultant of, 447 Additive identity for a complex number, 160 for a matrix, 588 for a real number, A8 Additive inverse, A8 for a complex number, 160 for a real number, A8 Adjacent side of a right triangle, 299 Adjoining matrices, 601 Algebraic expression, A7 domain of, A39 equivalent, A39 evaluate, A7 term of, A7 Algebraic function, 216 Algebraic properties of the cross product, 825, 845 Algebraic tests for symmetry, 17 Alternative definition of conic, 791 Alternative form of Law of Cosines, 437, 488 Ambiguous case (SSA), 430 Amplitude of sine and cosine curves, 321 Analytic geometry, solid, 810 Angle(s), 280 acute, 281 between two lines, 727, 728 between two planes, 834 between two vectors, 459, 490 in space, 818 central, 281 complementary, 283 conversions between degrees and radians, 284 coterminal, 280 degree measure of, 283 of depression, 304 direction, of a vector, 451 of elevation, 304 initial side of, 280 measure of, 281 negative, 280 obtuse, 281 positive, 280 radian measure of, 281 reference, 312 of repose, 349 standard position, 280 supplementary, 283 terminal side of, 280 vertex of, 280 Angular speed, 285 Annuity, increasing, 666 Aphelion distance, 749, 796 Apogee, 746 “Approximately equal to” symbol, A1 Arc length, 285 Arccosine function, 343 Arcsine function, 341, 343 Arctangent function, 343 Area common formulas for, A59 of an oblique triangle, 432 of a plane region, 894 problem, 893 of a sector of a circle, 287 of a triangle using a determinant, 619 Heron’s Area Formula, 440, 489 Argument of a complex number, 469 Arithmetic combination of functions, 83 Arithmetic mean, 650 Arithmetic sequence, 651 common difference of, 651 th partial sum of, 655 th term of, 652 recursion formula, 653 sum of a finite, 654, 721 Associative Property of Addition for complex numbers, 161 for matrices, 587 for real numbers, A8 Associative Property of Multiplication for complex numbers, 161 for matrices, 591 for real numbers, A8 Associative Property of Scalar Multiplication for matrices, 587, 591 Astronomical unit, 794 Asymptote(s) horizontal, 182 of a hyperbola, 753 oblique, 187 of a rational function, 183 slant, 187 vertical, 182 Augmented matrix, 571 Average rate of change, 59, 876 Average value of a population, 259 Axis (axes), conjugate, of a hyperbola, 753 imaginary, 468 major, of an ellipse, 742 minor, of an ellipse, 742 of a parabola, 127, 734 polar, 777 real, 468 rotation of, 761 of symmetry, 127 transverse, of a hyperbola, 751 B Back-substitution, 495 Base, A14 natural, 220 Basic conics, 733 circle, 733 ellipse, 733 hyperbola, 733 parabola, 733 Basic equation of a partial fraction decomposition, 531 guidelines for solving, 535
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This note was uploaded on 07/08/2011 for the course MAC 1140 taught by Professor Williamson during the Spring '08 term at University of Florida.

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Index - Limits 439049092_Index_SE.qxd 10/9/09 8:34 AM Page...

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