Examples of the Processes of the Differential and Integral CalculusJ. and J.J. Deighton, 1846 - 529 стор. |
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Сторінка 53
... limits of Taylor's Theorem . See Lagrange , Calcul des Fonctions , p . 88. Also De Mor- gan's Differential Calculus , p . 70 . Ex . ( 1 ) Let f ( x ) = ( a + x ) " . ( a + x + h ) " = ( a + x ) " + n ( a + x ) ” − 1h + 1.2 - ( a + a ) ...
... limits of Taylor's Theorem . See Lagrange , Calcul des Fonctions , p . 88. Also De Mor- gan's Differential Calculus , p . 70 . Ex . ( 1 ) Let f ( x ) = ( a + x ) " . ( a + x + h ) " = ( a + x ) " + n ( a + x ) ” − 1h + 1.2 - ( a + a ) ...
Сторінка 152
... limit at n2 , as it at first sight appears to be ; the preceding process of reduction is due to Bobillier , Annales de Gergonne , Vol . xix . p . 106. It is to be observed that though n ( n − 1 ) is the greatest number of tan- gents ...
... limit at n2 , as it at first sight appears to be ; the preceding process of reduction is due to Bobillier , Annales de Gergonne , Vol . xix . p . 106. It is to be observed that though n ( n − 1 ) is the greatest number of tan- gents ...
Сторінка 178
D. F. Gregory. where the curve quits the plane of reference , gives the limits of the curve in that plane . 2. Assign ... limit as so increases . = Let a be negative ; when a is between 0 and b , y is impossible , and there is no branch ...
D. F. Gregory. where the curve quits the plane of reference , gives the limits of the curve in that plane . 2. Assign ... limit as so increases . = Let a be negative ; when a is between 0 and b , y is impossible , and there is no branch ...
Сторінка 412
... limits gives the value of the area . One of the integrations may always be performed , so that we have either fyd x + C or fxdy + C , and these integrals are to be taken between the limits of y or x , which form the boundaries of the ...
... limits gives the value of the area . One of the integrations may always be performed , so that we have either fyd x + C or fxdy + C , and these integrals are to be taken between the limits of y or x , which form the boundaries of the ...
Сторінка 413
... limit , and add them all together . If the co - ordinates be not rectangular , and a be the angle between them , we must multiply the integral by sin a to obtain the value of the area . Ex . ( 1 ) If we take the general equation to a ...
... limit , and add them all together . If the co - ordinates be not rectangular , and a be the angle between them , we must multiply the integral by sin a to obtain the value of the area . Ex . ( 1 ) If we take the general equation to a ...
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