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Fra bogen
Resultater 1-5 af 94
Side 8
... reduced the problem of finding the areas of a large axis of x ) to cut the curve in two points ; then , if the number of curves , and the volumes of solids of rev - radius of the circle be supposed to decrease , its centre olution , to ...
... reduced the problem of finding the areas of a large axis of x ) to cut the curve in two points ; then , if the number of curves , and the volumes of solids of rev - radius of the circle be supposed to decrease , its centre olution , to ...
Side 24
... reduced to the form ; for , if f ( a ) = 0 , and p ( a ) = x , we have fa ) ( a ) = f ( a ) ÷ 1 $ ( a ) ' 0 which is ... reduces to finding the limiting value of çf ( x + h ) − f ( x ) h when h 0 . We shall first consider the case where ...
... reduced to the form ; for , if f ( a ) = 0 , and p ( a ) = x , we have fa ) ( a ) = f ( a ) ÷ 1 $ ( a ) ' 0 which is ... reduces to finding the limiting value of çf ( x + h ) − f ( x ) h when h 0 . We shall first consider the case where ...
Side 36
... reduced to a suitable notation by Newton and Leib- nitz . Thus , adopting the more modern nomenclature , if or ) be a function of r which is finite for all values of z between the limits ro and X , and if we suppose the in- terval Xxo ...
... reduced to a suitable notation by Newton and Leib- nitz . Thus , adopting the more modern nomenclature , if or ) be a function of r which is finite for all values of z between the limits ro and X , and if we suppose the in- terval Xxo ...
Side 37
... reduced to the deter- mination of a function F ( x ) when its derived function F ( r ) is known . We shall illustrate these preliminary remarks by one or two examples . Ez . 1. Find the limit of the sum of the series X- Here ( x - x ) ...
... reduced to the deter- mination of a function F ( x ) when its derived function F ( r ) is known . We shall illustrate these preliminary remarks by one or two examples . Ez . 1. Find the limit of the sum of the series X- Here ( x - x ) ...
Side 38
... reduce to the preceding example . Ex . 8 . Here u = Sa + dx a + b cos x dx ( a + b ) cos2 + ( a - b ) sin2 sin -- x " log ... reduced to the preceding by making 2 = x + 1 . Ex . 6 . fxm cardx . This is immediately reducible to Ex . 4 by ...
... reduce to the preceding example . Ex . 8 . Here u = Sa + dx a + b cos x dx ( a + b ) cos2 + ( a - b ) sin2 sin -- x " log ... reduced to the preceding by making 2 = x + 1 . Ex . 6 . fxm cardx . This is immediately reducible to Ex . 4 by ...
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