College Algebra |
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Common terms and phrases
a₁ b₁ algebra arithmetical arithmetical progression Article assume binomial binomial theorem c₁ c₂ called coefficients column common logarithms complex numbers corresponding definition degree denominator determinant diameter divergent divided equa equal equation ax² equivalent example EXERCISES expansion expression factor x factors feet following equations formula fractional exponents function geometrical progression graph graphically Hence imaginary inches inequality infinite series inversely linear equations loga logarithms mathematical induction means multiplied negative number obtain pairs partial fractions Plot polynomial positive integers positive number problem qth root quadratic equation quadratic function quotient r₁ ratic rational integral real numbers represent satisfy series is convergent solution Solve square substitution subtraction symbol synthetic division system of equations theorem tion Un+1 unknowns values write X-axis zero
Popular passages
Page 146 - The integral part of a logarithm is called the characteristic and the decimal part is called the mantissa.
Page 205 - 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.
Page 144 - The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor.
Page 87 - 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.
Page 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.
Page 91 - 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.
Page 104 - 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.
Page 91 - Arithmetical means. The first and last terms of an arithmetical progression are called the extremes, while the remaining terms are called the arithmetical means. To insert a given number of arithmetical means between two numbers it is only necessary to determine d by the use of equation (1) and to write down the terms by the repeated addition of d.
Page 147 - 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.
Page 88 - 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.