Scholarship examinations of 1846/47 (-1853/54). |
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Page 8
... coefficients . Ex . Find s3 in 16x ++ 4x2 + 1 = 0 . 5. To transform an equation into one whose roots are those of the pro- posed equation encreased or diminished by the same given quantity . Show the law of the formation of the coefficients ...
... coefficients . Ex . Find s3 in 16x ++ 4x2 + 1 = 0 . 5. To transform an equation into one whose roots are those of the pro- posed equation encreased or diminished by the same given quantity . Show the law of the formation of the coefficients ...
Page 21
... coefficient of h when x + h is written for x . x 2. Differentiate X n 202 2 and u , u , y and z are func- tions of x ; also find the nth differential coefficient of 3. Prove that f ( b ) -f ( a ) 1 a2 + x2 b - a and def ( x ) have the ...
... coefficient of h when x + h is written for x . x 2. Differentiate X n 202 2 and u , u , y and z are func- tions of x ; also find the nth differential coefficient of 3. Prove that f ( b ) -f ( a ) 1 a2 + x2 b - a and def ( x ) have the ...
Page 22
... x3 = o - 5. Integrate x ( a2 + x2 ) 1 1 1 + x . √1 + x2 ( a2 + x ) 3 and -1 / 1 3+ 4x ( 1 + b . cos . x ) 2 also find the coefficient of a6 in the expansion of x ac ε x 6. Find the values of f . between 22 SCHOLARSHIP QUESTIONS .
... x3 = o - 5. Integrate x ( a2 + x2 ) 1 1 1 + x . √1 + x2 ( a2 + x ) 3 and -1 / 1 3+ 4x ( 1 + b . cos . x ) 2 also find the coefficient of a6 in the expansion of x ac ε x 6. Find the values of f . between 22 SCHOLARSHIP QUESTIONS .
Page 24
... coefficient of refraction by observations on two circumpolar stars . 6. Explain the method of finding the longitude of a place by measur- ing the moon's distance from the sun or from a bright star . 7. Explain the cause of aberration ...
... coefficient of refraction by observations on two circumpolar stars . 6. Explain the method of finding the longitude of a place by measur- ing the moon's distance from the sun or from a bright star . 7. Explain the cause of aberration ...
Page 27
... coefficient , and from the definition find that of a " ; given a * = 1 + loge a . x + ( loge a ) 2 + .... ; also that of α x2 1.2 cot . u , u being a function of the independant variable x , and explain why it is negative . 2. Prove ...
... coefficient , and from the definition find that of a " ; given a * = 1 + loge a . x + ( loge a ) 2 + .... ; also that of α x2 1.2 cot . u , u being a function of the independant variable x , and explain why it is negative . 2. Prove ...
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