College AlgebraHenry Holt, 1909 - 261 páginas |
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Términos y frases comunes
algebra arithmetical arithmetical progression Article binomial binomial theorem c₁ called coefficients column common logarithms complex numbers corresponding curve degree denominator determinant diameter divergent divided equa equal equivalent example EXERCISES expansion expression factors feet following equations formula function geometrical progression graph graphically Hence imaginary inches increases without limit inequality infinite series inversely linear equations loga logarithms mathematical induction means method multiplied negative number nth root number system obtain P₁ partial fractions Plot polynomial positive integers positive number problem quadratic equation quadratic function quotient r₁ radius ratic rational integral real numbers real roots represent series is convergent solution Solve square substitution subtraction symbol synthetic division system of equations theorem tion typical form Un+1 unknowns varies directly X-axis zero
Pasajes populares
Página 209 - The general formula for the number of combinations of n things taken r at a time is C(n,r) = r\(nr)\ We have to find the number of combinations of 12 things taken 9 at a time.
Página 150 - The Integral Part of a logarithm is called the Characteristic, and the decimal part the Mantissa.
Página 148 - The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor.
Página 91 - Newton discovered, as a fundamental law of nature, that every particle attracts every other particle with a force which varies directly as the product of the masses and inversely as the square of the distance between them.
Página 7 - The product of two or more fractions is a fraction whose numerator is the product of the numerators of the given fractions and whose denominator is the product of the denominators of the given fractions.
Página 95 - Elements of an arithmetical progression. Let a represent the first term, d the common difference, n the number of terms considered, I the nth, or last term, and s the sum of the sequence.
Página 108 - Thus ike modulus of the product of two complex numbers is the product of their moduli, and the argument of the product is the sum of their arguments.
Página 151 - The characteristic of a number less than 1 is found by subtracting from 9 the number of ciphers between the decimal point and the first significant digit, and writing — 10 after the result.
Página 92 - The duration of a railway journey varies directly as the distance and inversely as the velocity. The velocity varies directly as the square root of the quantity of coal used per mile and inversely as the number of carriages in the train. In a journey of 25 miles in half an hour with 18 carriages 1ocwt.
Página 6 - The value of a fraction is not changed by multiplying or dividing both the numerator and denominator by the same number.