Дуги L , заданной параметрическими

уравнениями:

2.1 f (x,y) = y ; L: x = a cos t, y = a sin t, 0 t

2.2 f (x,y) = xy; L: x = a cos t, y = b sin t, 0 t

2.3 f (x, y) = y ; L: x = a(t–sin t), y = a(1-cos t),

0 t

2.4 f(x, y) = ; L: x = a(cos t + t sin t),

y = a(sin t – t cost), 0 t 2

2.5 f(x,y) = 3x -y ; L: x = a(cos t + t sin t),

y = a(sin t – t cost), 0 t 2

2.6 f(x, y) = x ; L: x = a(t – t sin t),

y = a(1 – cos t), 0 t 2

2.7 f(x,y) = xy L: x = ch t, y = ash t, 0 t t

2.8 f(x,y) = ; L: x = a(t - t sin t),

y = a(1-cos t), 0 t

2.9 f(x,y) = x + y ; L: x = a cos t, y = a sin t,

0 t 2

2.10 f(x,y) = + ; L: x = a cos t, y = a sin t,

0 t 2

Дата добавления: 2015-07-11