A College Algebra |
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Common terms and phrases
a₁ algebraic algebraic number annuity arithmetical value b₁ binomial Binomial Theorem called chance of throwing changing the quality coefficients common logarithms compound interest continued fraction convergent COROLLARY D₁ decimal denote differential dividend division divisor equal equivalent event evidently EXAMPLE EXERCISE expression factors find the chance Find the number finite formula given log identity imaginary infinite integral law of signs laws of exponents limit loga mantissa monomial Napierian negative nth roots nth term number of balls obtain P₁ P₂ partial fractions permutations pile polynomial positive integers positive numbers quadratic equation quotient ratio real roots remainder root of F(x scale of relation solution square root Sturm's theorem subtract surd theorem transformed equation u₁ U₂ unknown quantities variable whole number zero
Popular passages
Page 108 - In a series of equal ratios, the sum of the antecedents is to the sum of the consequents as any antecedent is to its consequent.
Page 195 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Page 219 - To find the amount of an annuity left unpaid for a given number of years, allowing compound interest. Let A be the annuity, R the amount of $1 for one year, n the number of years, M the amount.
Page 230 - From 12 books in how many ways can a selection of 5 be made, (1) when one specified book is always included, (2) when one specified book is always excluded ? (1) Since the specified book is to be included in every selection, we have only to choose 4 out of the remaining 11. Hence the number of ways...
Page 237 - In general, if an event may happen in a ways, and fail in b ways, and each of these ways is equally likely to occur, the probability of its happening is -, and the probability of its failing is...
Page 107 - If the product of two quantities is equal to the product of two other quantities, two of them may be made the extremes, and the other two the means of a proportion.
Page 114 - The pressure of wind on a plane surface varies jointly as the area of the surface, and the square of the wind's velocity. The pressure on a square foot is 1 Ib.
Page 105 - A ratio of greater inequality is diminished, and a ratio of less inequality is increased, by adding the same quantity to both its terms.
Page 19 - To divide a polynomial by a monomial, divide each term of the polynomial by the monomial: (Sab — 12ac) -i- 4a = 36 — 3c.
Page 1 - To measure a quantity is to find how many times it contains another quantity of the same kind, called a unit of measurement.