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annuity arithmetic means ax² b₁ balls called coefficients column complex numbers compounded compute coördinates corresponding decimal places denominator determinant digits diverges divided equal Example EXERCISE exponents expression factor feet Find the number Find the probability Find the value formula fraction function geometric geometric progression given graph harmonic means Hence HINT Illustration imaginary number integer integral rational inversions linear equations loga logarithms mantissa mathematical induction method Multiply negative NOTE nth root obtain partial fractions permutations polynomial positive integer Problem Proof proved quadratic equation quadratic formula quotient r(cos radical radicand rational roots real numbers real roots roots of f(x Section semi-annually sides simplify Solution Solve square roots Substitute Subtract synthetic division Theorem Un+1 unknowns variable x²y x³y zero
Popular passages
Page 156 - 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 8 - Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient.
Page 271 - Recall the general formula for the number of combinations of n different things taken r at a time, C(n,r) n\ r!(nr)!
Page 155 - The weight of a body above the surface of the earth varies inversely as the square of the distance of the body from the center of the earth.
Page 200 - The modulus of the quotient of two complex numbers is the quotient of their moduli, and the amplitude of the quotient is the amplitude of the dividend minus the amplitude of the divisor.
Page 167 - ... and if the number is divided by the sum of its digits, the quotient is 21 and the remainder 4.
Page 155 - The distance fallen by a body from a position of rest varies as the square of the number of seconds occupied in falling. If a body falls 256 feet in 4 seconds, how far will it fall in 6 seconds?
Page 8 - To divide a polynomial by a monomial, divide each term of the polynomial by the monomial: (Sab — 12ac) -i- 4a = 36 — 3c.
Page 178 - If the coefficient of any term is multiplied by the exponent of x in that term and...
Page 2 - To add a positive and a negative number, subtract the smaller absolute value from the larger, and prefix to the result the sign of the number having the larger absolute value.