· · A = 2 y 1 + ( y ) 2 dx A = 2 y ( x) 2 + ( y ) 2 dt A = 2 sin ( ) 2 + 2 d x1 t1 1 Näiteid: Tsükloid x = a (t sin t) y = a (1 cos t) S = 3a2 L = 8a V = 52a3 A = 64/3 a2 Astroid x = a cos3 t y = a sin3 t S = 3/8a2 L = 6a V = 32/105a3 A = 12/5 a2 Kardioid =a (1 + cos ) S = 3/2a2 L = 8a A = 32/5 a2 Ellips S = ab Ellips pöörleb ümber x-telje V = 4/3ab2 t2 t2 Teepikkus s = vdt Kiirus v = adt t1 t1 x2 x2
· · A = 2 y 1 + ( y ) 2 dx A = 2 y ( x) 2 + ( y ) 2 dt A = 2 sin ( ) 2 + 2 d x1 t1 1 Näiteid: Tsükloid x = a (t sin t) y = a (1 cos t) S = 3a2 L = 8a V = 52a3 A = 64/3 a2 Astroid x = a cos3 t y = a sin3 t S = 3/8a2 L = 6a V = 32/105a3 A = 12/5 a2 Kardioid =a (1 + cos ) S = 3/2a2 L = 8a A = 32/5 a2 Ellips S = ab Ellips pöörleb ümber x-telje V = 4/3ab2 t2 t2 Teepikkus s = vdt Kiirus v = adt t1 t1 x2 x2
annaabi.ee 
