College AlgebraScott, Foresman, 1901 - 777 páginas |
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Página ix
... Definition Series of Natural Numbers Positive and Negative Numbers The Absolute Value of Numbers - Unlike Signs Addition of Algebraic Numbers , Rule Addition of Monomials • Subtraction of Algebraic Numbers , Rule Subtraction of ...
... Definition Series of Natural Numbers Positive and Negative Numbers The Absolute Value of Numbers - Unlike Signs Addition of Algebraic Numbers , Rule Addition of Monomials • Subtraction of Algebraic Numbers , Rule Subtraction of ...
Página xiii
... Definition of a Root . CHAPTER II EVOLUTION Law of Signs of Roots of Quantities Principal Root Theorems in Evolution Square Root of Compound Quantities Square Root of Arithmetical Numbers Cube Root of a Polynomial Cube Root of ...
... Definition of a Root . CHAPTER II EVOLUTION Law of Signs of Roots of Quantities Principal Root Theorems in Evolution Square Root of Compound Quantities Square Root of Arithmetical Numbers Cube Root of a Polynomial Cube Root of ...
Página xvi
... Definition of Maxima and Minima 495 b Graph of u = a ax + b ( ax - x2 ) 498 Graph of y = 505 a1x + b1 Graph of y = ( ax2 + bx + c ) ÷ ( b1x + c1 ) 508 Graph of y = ( ax2 + bx + c ) ÷ ( α1x2 + b1x + € 1 ) 509 BOOK V LOGARITHMS PROPORTION ...
... Definition of Maxima and Minima 495 b Graph of u = a ax + b ( ax - x2 ) 498 Graph of y = 505 a1x + b1 Graph of y = ( ax2 + bx + c ) ÷ ( b1x + c1 ) 508 Graph of y = ( ax2 + bx + c ) ÷ ( α1x2 + b1x + € 1 ) 509 BOOK V LOGARITHMS PROPORTION ...
Página xvii
... Definitions 517 Properties of Proportions 518 Incommensurable Numbers 522 Application of Quadratic Equations and Ratio and Proportion to Geometry 528 Definition CHAPTER II VARIATION Formulae ( i ) , ( ii ) , ( iii ) , ( iv ) . Problems ...
... Definitions 517 Properties of Proportions 518 Incommensurable Numbers 522 Application of Quadratic Equations and Ratio and Proportion to Geometry 528 Definition CHAPTER II VARIATION Formulae ( i ) , ( ii ) , ( iii ) , ( iv ) . Problems ...
Página xviii
... Definition of an Infinite Series . 630 Convergence of Series whose Terms are Positive - Graphical Repre- sentations 631 Fundamental Theorems 632 Standard Series for Comparison Tests of Convergence , 1+ , 2P + 3+ 4 + ... 634 Harmonic ...
... Definition of an Infinite Series . 630 Convergence of Series whose Terms are Positive - Graphical Repre- sentations 631 Fundamental Theorems 632 Standard Series for Comparison Tests of Convergence , 1+ , 2P + 3+ 4 + ... 634 Harmonic ...
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Términos y frases comunes
A₁ algebraic Arithmetic ax² b₁ binomial Binomial Theorem c₁ CHAPTER coefficients common convergent corresponding cube root decimal definition denominator determinant difference divided division divisor equal equivalent example exponent expression factors figures Find the number formula fraction given equation greater Hence imaginary increases inequality integer irrational less limit log 1+r logarithm mantissa mathematical induction monomial multiplied negative number nth root number of terms P₁ partial fractions polynomial positive integer positive number problem quadratic quadratic equation quotient rational remainder result rule satisfy second degree second member solution Solve the equations square root substituting subtraction Suppose surd symbols system of equations theorem third tion triangle trinomial unknown numbers unknown quantities Va² zero
Pasajes populares
Página 205 - Nos. 1 and 2, 3 and 4, 5 and 6, 7 and 8, 9 and 10, 11 and 12.
Página 666 - Q(x) to obtain a quotient (polynomial of the form -Q ) plus a rational function (remainder divided by the divisor) in which the degree of the numerator is less than the degree of the denominator.
Página 79 - Raise the absolute value of the numerical coefficient to the required power, and multiply the exponent of each letter by the exponent of the required power.
Página 71 - The part of the equation which is on the left of the sign of equality is called the first member ; the part on the right of the sign of equality, the second member.
Página 588 - What will $ 100 amount to in 7 years with interest at 8% per annum, compounded semi-annually ? 3. In how many years will a sum of money double itself at 6%, compounded annually ? 4.
Página 181 - A person has a hours at his disposal. How far may he ride in a coach which travels b miles an hour, so as to return home in time, walking back at the rate of с miles an hour ? 43.
Página 519 - In any proportion, the terms are in proportion by Alternation; that is, the first term is to the third as the second term is to the fourth.
Página 520 - In a series of equal ratios, any antecedent is to its consequent, as the sum of all the antecedents is to the sum of all the consequents. Let a: 6 = c: d = e :/. Then, by Art.
Página 524 - The first of four magnitudes is said to have the same ratio to the second, that the third has to the fourth, when any equimultiples...
Página 588 - June, 1889.) 1. In how many years will a sum of money double itself at 4 per cent., interest being compounded semi-annually ? 2.