Algebra for High Schools and Colleges: Containing a Systematic Exposition and Application of the Elementary and Higher Principles of the SciencePratt, Oakley & Company, 1859 - 306 σελίδες |
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Σελίδα xii
... Cube Root of a Polynomial , ( 222. ) Principle for determining the Number of Figures in the Cube Root of a Number ... find the Sum or Difference of Similar Surds — of Dissimular Surds , ( 240 ) .- How to find the Product or Quotient of ...
... Cube Root of a Polynomial , ( 222. ) Principle for determining the Number of Figures in the Cube Root of a Number ... find the Sum or Difference of Similar Surds — of Dissimular Surds , ( 240 ) .- How to find the Product or Quotient of ...
Σελίδα 125
... square of a ; aaa is a3 , the third power or cube of a ; and so on . Observe that one multiplication of a into ... find the third power of 4ax2 , we raise 4 to its third power , which is 4 × 4 × 4 = 64 , and multiply the exponents of a ...
... square of a ; aaa is a3 , the third power or cube of a ; and so on . Observe that one multiplication of a into ... find the third power of 4ax2 , we raise 4 to its third power , which is 4 × 4 × 4 = 64 , and multiply the exponents of a ...
Σελίδα 126
... Find the cube of -2a2x . 3. Find the square of —4ax2 . 4. Find the cube of 3a3x . 5. Find the square of ab2c3 . 6. Find the cube of —a2x2y . 7. Find the square of Hax2 . 8. Find the cube of ay3 . 9. Find the square of —ab ” . 10. Find ...
... Find the cube of -2a2x . 3. Find the square of —4ax2 . 4. Find the cube of 3a3x . 5. Find the square of ab2c3 . 6. Find the cube of —a2x2y . 7. Find the square of Hax2 . 8. Find the cube of ay3 . 9. Find the square of —ab ” . 10. Find ...
Σελίδα 130
... Find the square of a - x . 2. Find the cube of a + y . Ans . a2-2ax + x2 . Ans . a3 + 3a2y + 3ay2 + y3 . 3. Find the cube of a + 2b . By applying the principles of the Binomial Theorem , we obtain a3 + 3a2.2b + 3a ( 26 ) 2 + ( 26 ) 3 ...
... Find the square of a - x . 2. Find the cube of a + y . Ans . a2-2ax + x2 . Ans . a3 + 3a2y + 3ay2 + y3 . 3. Find the cube of a + 2b . By applying the principles of the Binomial Theorem , we obtain a3 + 3a2.2b + 3a ( 26 ) 2 + ( 26 ) 3 ...
Σελίδα 134
... Find the cube root of 8a3y . 3. Find the square root of 9ax . 4. Find the cube root of -27y2 . 5. Find the square root of 16x1 . 6. Find the cube root of a3xy2 . 7. Find the square root of 25a3 . 8. Find the cube root of -64y2 . 9. Find the ...
... Find the cube root of 8a3y . 3. Find the square root of 9ax . 4. Find the cube root of -27y2 . 5. Find the square root of 16x1 . 6. Find the cube root of a3xy2 . 7. Find the square root of 25a3 . 8. Find the cube root of -64y2 . 9. Find the ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
acres added amount applied approximate Arithmetical become binomial cent changed coefficient complete consists containing corresponding cube root decimal denotes Derivative determined difference divided dividend division divisor equal equation equivalent evident example EXERCISES exponent expressed factors figures Find the cube Find the Product Find the square Find the value four fourth fraction Function given given Equation gives greater greatest common measure Hence imaginary increased Inequality integral interest known less letters logarithm manner means method miles multiplied negative obtained period permutations person places polynomial positive preceding principles problem progression proportion quotient ratio Reduce remainder represent Resolve respectively result rods Rule second term share side similar simplest form solution square root substituted subtracting successive Surds taken Theorem third twice units unknown quantity value of x whole yards
Δημοφιλή αποσπάσματα
Σελίδα 299 - NB In the following table, in the last nine columns of each page, where the first or leading figures change from 9's to O's, points or dots are introduced instead of the...
Σελίδα 209 - A put four horses, and B as many as cost him 18 shillings a week. Afterwards B put in two additional horses, and found that he must pay 20 shillings a week. At what rate was the pasture hired ? 49.
Σελίδα 105 - Three quantities are said to be in harmonical proportion, when the first is to the third, as the difference between the first and second is to the difference between the second and third.
Σελίδα 85 - Four quantities are in proportion when the ratio of the first to the second is equal to the ratio of the third to the fourth.
Σελίδα 177 - A set out from C towards D, and travelled 7 miles a day. After he had gone 32 miles, B set out from D towards C, and went every day J^ of the whole journey; •and after he had travelled as many days as he went miles in a day, he met A. Required the distance from C to D.
Σελίδα 206 - A hare is 50 leaps before a greyhound, and takes 4 leaps to the greyhound's 3 ; but 2 of the greyhound's leaps are equal to 3 of the hare's ; how many leaps must the greyhound take, to catch the hare?
Σελίδα 80 - What fraction is that, whose numerator being doubled, and denominator increased by 7, the value becomes §; but the denominator being doubled, and the numerator increased by 2, the value becomes f 1 Ans.
Σελίδα 79 - What fraction is that, to the numerator of which if 1 be added, the value will be •£ ; but if 1 be adde.d to the denominator, its value will be | ? Let — denote the fraction.
Σελίδα 60 - AXIOMS. 1. Things which are equal to the same thing are equal to each other. 2. If equals be added to equals, the sums will be equal.
Σελίδα 244 - The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor. , M , ,• , . logi — = log