Scholarship examinations of 1846/47 (-1853/54). |
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Страница 9
... be paid to me by equal quarterly instalments , the first instalment to be paid at the end of the quarter next after the last of the annual payments made by me ? b 10. Find the square root of 101-28 / 13 — SCHOLARSHIP QUESTIONS . 9.
... be paid to me by equal quarterly instalments , the first instalment to be paid at the end of the quarter next after the last of the annual payments made by me ? b 10. Find the square root of 101-28 / 13 — SCHOLARSHIP QUESTIONS . 9.
Страница 10
... root of a quantity of the form a + b / -1 may be expressed by a quan- tity in the same form . 11. What is the number ... roots . 13. Prove the truth of the following formula : sin A + sin ( 36o — A ) + sin ( 72o + A ) = sin ( 36o + A ) + ...
... root of a quantity of the form a + b / -1 may be expressed by a quan- tity in the same form . 11. What is the number ... roots . 13. Prove the truth of the following formula : sin A + sin ( 36o — A ) + sin ( 72o + A ) = sin ( 36o + A ) + ...
Страница 55
... root of 29 in the form of a continued fraction : -and show that √ √ 8 + 37 - 4+ √7 = 12 4. Find the number of combinations of n things taken 3 and 3 together ... roots . 30 ...... APPENIN Senior Mathemaizes „ Aritometao aus . Algebra . A.
... root of 29 in the form of a continued fraction : -and show that √ √ 8 + 37 - 4+ √7 = 12 4. Find the number of combinations of n things taken 3 and 3 together ... roots . 30 ...... APPENIN Senior Mathemaizes „ Aritometao aus . Algebra . A.
Страница vii
... b , c , & c . , be the roots of the equation , then ( x — a ) ( x — b ) ( x — c ) ..................... to n factors = 0 Now ( x - a ) ( x - b ) = x2 — ( a + b ) x + ab - ( x — a ) ( x — b ) ( x — c ) = x3 — ( a + b + c ) x2 + ( ab + ...
... b , c , & c . , be the roots of the equation , then ( x — a ) ( x — b ) ( x — c ) ..................... to n factors = 0 Now ( x - a ) ( x - b ) = x2 — ( a + b ) x + ab - ( x — a ) ( x — b ) ( x — c ) = x3 — ( a + b + c ) x2 + ( ab + ...
Страница viii
... roots with their signs changed is equal to the co - efficient of the second term ; that the sum of the pro- ducts of the roots with their signs changed taken two and two , is equal to the co - efficient of the third ; that the sum of ...
... roots with their signs changed is equal to the co - efficient of the second term ; that the sum of the pro- ducts of the roots with their signs changed taken two and two , is equal to the co - efficient of the third ; that the sum of ...
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