College Algebra: With ApplicationsAllyn and Bacon, 1916 - 507 páginas |
Contenido
| 288 | |
| 289 | |
| 290 | |
| 292 | |
| 293 | |
| 295 | |
| 296 | |
| 299 | |
| 54 | |
| 79 | |
| 85 | |
| 93 | |
| 96 | |
| 99 | |
| 100 | |
| 102 | |
| 104 | |
| 106 | |
| 109 | |
| 110 | |
| 111 | |
| 112 | |
| 115 | |
| 117 | |
| 118 | |
| 120 | |
| 121 | |
| 126 | |
| 129 | |
| 131 | |
| 132 | |
| 134 | |
| 135 | |
| 136 | |
| 141 | |
| 146 | |
| 147 | |
| 148 | |
| 149 | |
| 151 | |
| 153 | |
| 154 | |
| 155 | |
| 157 | |
| 158 | |
| 160 | |
| 164 | |
| 165 | |
| 166 | |
| 169 | |
| 172 | |
| 175 | |
| 176 | |
| 177 | |
| 181 | |
| 182 | |
| 193 | |
| 195 | |
| 198 | |
| 202 | |
| 204 | |
| 207 | |
| 226 | |
| 237 | |
| 248 | |
| 252 | |
| 254 | |
| 263 | |
| 265 | |
| 267 | |
| 268 | |
| 270 | |
| 271 | |
| 274 | |
| 275 | |
| 277 | |
| 279 | |
| 281 | |
| 282 | |
| 283 | |
| 285 | |
| 287 | |
| 301 | |
| 303 | |
| 306 | |
| 308 | |
| 309 | |
| 311 | |
| 312 | |
| 313 | |
| 314 | |
| 315 | |
| 316 | |
| 317 | |
| 319 | |
| 325 | |
| 329 | |
| 331 | |
| 337 | |
| 338 | |
| 345 | |
| 350 | |
| 352 | |
| 354 | |
| 357 | |
| 366 | |
| 376 | |
| 383 | |
| 391 | |
| 407 | |
| 413 | |
| 420 | |
| 423 | |
| 425 | |
| 427 | |
| 428 | |
| 429 | |
| 430 | |
| 432 | |
| 433 | |
| 434 | |
| 437 | |
| 438 | |
| 441 | |
| 443 | |
| 444 | |
| 447 | |
| 448 | |
| 449 | |
| 450 | |
| 451 | |
| 454 | |
| 455 | |
| 458 | |
| 460 | |
| 465 | |
| 466 | |
| 468 | |
| 471 | |
| 472 | |
| 474 | |
| 479 | |
| 482 | |
| 484 | |
| 485 | |
| 486 | |
| 488 | |
| 489 | |
| 492 | |
| 493 | |
| 495 | |
| 496 | |
| 498 | |
| 500 | |
Términos y frases comunes
a₁ according algebraic amplitude approaches zero arithmetic arithmetic progression ax² b₁ b₂ c₁ c₂ calculation called coefficients common complex numbers compute Consequently coördinates corresponding cubic equation curve decimal places definition denominator denote determinant directed line-segment division divisor elements equal to zero EXERCISE exponent expressed formula geometric progression given grams graph integer integral rational function irrational laws linear factors linear function loga logarithms lowest terms mantissa method modulus multiplication negative numbers nth root obtained P₁ partial fractions permutations positive integer positive number positive or negative proper fraction prove quadratic equation quadratic function quantities quotient rational numbers real numbers represents result right member roots of unity satisfy scale slope solution solve square root straight line symbol tangent tion unit unity values variable vector velocity vernier x-axis y-axis
Pasajes populares
Página 283 - Nin such a form that its mantissa shall be positive. This can be done whether log N is positive or negative, that is, whether N be greater or less than unity. In the latter case, the negativeness of log N is brought about entirely by means of the negative characteristic. As a consequence of this agreement, the following statement will be true in all cases. II. If two numbers contain the same succession of digits, that is, if they differ only in the position of the decimal point, their logarithms...
Página 45 - The modulus of the product of two complex numbers is equal to the product of their moduli.
Página 284 - Nis any number greater than 1, the characteristic of its logarithm is one less than the number of digits in its integral part. The student is advised to make but little use of this rule on account of its mechanical character. Statement III provides a better method (less mechanical and easier to remember) for determining the characteristic. It remains to show how to find the characteristic of log N when N < 1.
Página 55 - Y is a function of X. The variable X is called the independent variable and the variable Y is called the dependent variable. EXAMPLE The distance s traveled by a car moving with a constant speed is a function of time t.
Página 69 - Third Law. The square of the period of a planet is proportional to the cube of its mean distance from the sun.
Página 315 - ... is proportional to the difference between its temperature and that of the surrounding medium) holds true for all parts of the surface.
Página 89 - The latter asked that he be given the number of grains of wheat which would result from placing one on the first square of the chess board, two on the second, four on the third, eight on the fourth, and so on, multiplying by 2 up to the 64th.
Página 175 - Assuming that the strength of a beam with rectangular cross section varies directly as the breadth and as the square of the depth, what are the dimensions of the strongest beam that can be sawed out of a round log whose diameter is d ? Solution.
Página 351 - There is a number consisting of two digits, the second of which is greater than the first, and if the number be divided by the sum of its digits, the quotient is 4...
Página 277 - ... 1000. This argument at the same time indicates a process by means of which the exponent x may be calculated to any desired number of decimal places. We are now ready to define a logarithm. The logarithm of any positive number N, with respect to the base a, is the exponent of the power to which the base a must be raised in order to obtain the number N.* In other words, if az = N, we say that x (the exponent) is the logarithm of N with respect to the base a.