Differential calculus for beginners |
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Σελίδα 33
... space fallen through from rest would have been 32 × ( 2 ) = '64 feet . feet Now let the same process be repeated for the third tenth of a second . The starting velocity will be 6'4 feet per second , and the velocity at the end of the ...
... space fallen through from rest would have been 32 × ( 2 ) = '64 feet . feet Now let the same process be repeated for the third tenth of a second . The starting velocity will be 6'4 feet per second , and the velocity at the end of the ...
Σελίδα 34
Alexander Knox (B.A.). If the body had not been arrested , the space fallen through would have been 32 × ( 3 ) feet - 1-44 feet . 10 If this process be repeated 100 times , the time of falling will be 10 " , and the velocity acquired ...
Alexander Knox (B.A.). If the body had not been arrested , the space fallen through would have been 32 × ( 3 ) feet - 1-44 feet . 10 If this process be repeated 100 times , the time of falling will be 10 " , and the velocity acquired ...
Σελίδα 35
Alexander Knox (B.A.). Sec . Space fallen through . • 2 16 x '04 = * 64 ⚫32 48 • 1 16 × 01 = • 16 * 32 • 16 Thus we see that the space fallen through in the interval between any two consecutive tenths of seconds is 32 feet . This " " " " ...
Alexander Knox (B.A.). Sec . Space fallen through . • 2 16 x '04 = * 64 ⚫32 48 • 1 16 × 01 = • 16 * 32 • 16 Thus we see that the space fallen through in the interval between any two consecutive tenths of seconds is 32 feet . This " " " " ...
Σελίδα 45
... space fallen through ) to the rate of variation of the variable ( the time ) = ⚫0032 · 0001 = = 32 , omit- ting the figures in the seventh and eighth decimal places . Now the first differences give the space fallen through in each ...
... space fallen through ) to the rate of variation of the variable ( the time ) = ⚫0032 · 0001 = = 32 , omit- ting the figures in the seventh and eighth decimal places . Now the first differences give the space fallen through in each ...
Σελίδα 46
... space fallen through is increasing by some function of 32 , and that that increase is , at that instant , also itself increasing by some function of 32-32 being the germ or essence of the system of spaces fallen through , and also of ...
... space fallen through is increasing by some function of 32 , and that that increase is , at that instant , also itself increasing by some function of 32-32 being the germ or essence of the system of spaces fallen through , and also of ...
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A. W. VERRALL angle approximately ARITHMETIC Assistant-Master becomes BEGINNERS BOOK Cambridge CHEMISTRY circle Clifton College column Crown 8vo D.Sc dc₁ diminished Edited by Rev ELEMENTARY TREATISE ENGLISH EPISTLE Eton College Extra fcap FASNACHT Fellow of St Fellow of Trinity Find the differential function G. E. FASNACHT Globe 8vo GRAMMAR HISTORY incre increase uniformly increments of 001 independent variable Introduction and Notes J. P. MAHAFFY John's College King's College late Fellow LATIN Lecturer LL.D London Macmillan's Maps Mathematics maximum minimum Nature Series numerous Illustrations Owens College Oxford preparation quantity rate of increase rate of variation ratio receive small increments rectangles revised and enlarged School second differences second differential co-efficient Second Edition side space fallen square straight line successive values tangent third differential co-efficient tion Translated Trinity College ultimately University of Cambridge University of Glasgow velocity Vocabulary وو
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