Dandelin, Germinal Pierre, 660
Dandelin spheres, 660
Dantzig, George, 570
Decay
exponential, 437–438, 469, 741
linear, 436–437
Decibel scale, 493–495
Decimals
converting to a quotient, –
converting to scientific notation, 26
terminating and nonterminating,
Decomposition, of a function, 288
Decreasing functions, 235–237
Deepwater Horizon, 281
Deer population, 185
Definitions, recursive, 226
Degenerate conic sections, 660
Degrees
of a monomial, 30–31, 37
of a polynomial, 31
of a polynomial function, 332, 333
of a power function, 334–335
Denominators, 13, 50
least common, 54–56
rationalizing, 67
Dependent systems of linear equations, 530, 531
Dependent variables, 185, 215
Depressed equations, 358–359
Descartes, René, 202
background information on, 176
coordinate plane discovery by, 175
Descartes’s Rule of Signs, 367–368
Descending order, 31
Determinants, 636–647
Cramer’s Rule and, 640–644
minors and cofactors and, 637–638
Devil’s Triangle, 144, 147–148
De Vita Propria (Cardano), 376
Dice, rolling, 780
Difference(s). See also Subtraction
binomial, squaring, 35–36
of cubes, factoring, 45–46
of functions, 282
of squares, factoring, 44–45
of terms, product of sum of terms and, 36–38
Difference quotients, 243–244
Digits, number of, logarithms and, 466–467
Direction, of an inequality, 146
Directrix, of a parabola, 662
Direct variation, 404–406
Discriminant, 112–113, 126–127
Distance formula, 178–180
Distinguishable permutations, 773–774
Distributive property of real numbers, 12
Dividends, 551, 554
Division. See also Quotient(s)
of complex numbers, 123–125
of fractions, 14
of polynomials. See Division of polynomials
of rational expressions, 52–53
of real numbers, 13–14
synthetic, 355–356
Division Algorithm, 352–354
Division of polynomials, 352–363
Division Algorithm and, 352–354
long division for, 353–354
synthetic division for, 355–356
Domains
of an inequality, 145
of composite functions, 286–288
of exponential functions, 426
of functions, 216, 220–221, 223, 282, 283–284
of logarithmic functions, 447–448
of a rational expression, 50–51
of a rational function, 385–386
of a relation, 217
of a variable in an equation, 81–82
of a variable in an inequality, 145
Double roots, 108
Drug bioavailability, 215, 225–226
Drug research and development, profit from, 41, 45–46
Drug testing, false positives in, 50, 51